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49 results on '"Beaugendre, Heloise"'

2. Topological Analysis of Ensembles of Hydrodynamic Turbulent Flows -- An Experimental Study

Author

Nauleau, Florent, Vivodtzev, Fabien, Bridel-Bertomeu, Thibault, Beaugendre, Heloise, and Tierny, Julien

Subjects
Physics - Fluid Dynamics, Computer Science - Computational Geometry, Computer Science - Computer Vision and Pattern Recognition, Computer Science - Graphics, Computer Science - Machine Learning
Abstract

This application paper presents a comprehensive experimental evaluation of the suitability of Topological Data Analysis (TDA) for the quantitative comparison of turbulent flows. Specifically, our study documents the usage of the persistence diagram of the maxima of flow enstrophy (an established vorticity indicator), for the topological representation of 180 ensemble members, generated by a coarse sampling of the parameter space of five numerical solvers. We document five main hypotheses reported by domain experts, describing their expectations regarding the variability of the flows generated by the distinct solver configurations. We contribute three evaluation protocols to assess the validation of the above hypotheses by two comparison measures: (i) a standard distance used in scientific imaging (the L2 norm) and (ii) an established topological distance between persistence diagrams (the L2-Wasserstein metric). Extensive experiments on the input ensemble demonstrate the superiority of the topological distance (ii) to report as close to each other flows which are expected to be similar by domain experts, due to the configuration of their vortices. Overall, the insights reported by our study bring an experimental evidence of the suitability of TDA for representing and comparing turbulent flows, thereby providing to the fluid dynamics community confidence for its usage in future work. Also, our flow data and evaluation protocols provide to the TDA community an application-approved benchmark for the evaluation and design of further topological distances.

Published
2022

4. $h-$ and $r-$ adaptation on simplicial meshes using MMG tools

Author

Arpaia, Luca, Beaugendre, Heloise, Cirrottola, Luca, Froehly, Algiane, Lorini, Marco, Nouveau, Leo, and Ricchiuto, Mario

Subjects
Mathematics - Numerical Analysis, Physics - Computational Physics
Abstract

We review some recent work on the enhancement and application of both r- and h- adaptation techniques, benefitting of the functionalities of the remeshing platform Mmg: www.mmgtools.org. Several contributions revolve around the level-set adaptation capabilities of the platform. These have been used to identify complex surfaces and then to either produce conformal 3D meshes, or to define a metric allowing to perform h-adaptation and control geometrical errors in the context of immersed boundary flow simulations. The performance of the recent distributed memory parallel implementation ParMmg is also discussed. In a similar spirit, we propose some improvements of $r-$adaptation methods to handle embedded fronts.

Published
2021

5. h- and r-Adaptation on Simplicial Meshes Using MMG Tools

Author

Arpaia, Luca, Beaugendre, Héloïse, Cirrottola, Luca, Froehly, Algiane, Lorini, Marco, Nouveau, Léo, Ricchiuto, Mario, Arrieta, José M., Editor-in-Chief, Larson, Mats G., Series Editor, Formaggia, Luca, Editor-in-Chief, Martínez-Seara Alonso, Tere, Series Editor, Parés, Carlos, Series Editor, Pareschi, Lorenzo, Series Editor, Tosin, Andrea, Series Editor, Vázquez-Cendón, Elena, Series Editor, Zunino, Paolo, Series Editor, Sevilla, Rubén, editor, Perotto, Simona, editor, and Morgan, Kenneth, editor

Published
2022
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11. Immersed boundaries in hypersonic flows with considerations about high-fidelity and massive parallelism

Author

Nauleau, Florent, Bridel-Bertomeu, Thibault, Beaugendre, Heloise, Vivodtzev, Fabien, Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Polytechnique de Bordeaux (Bordeaux INP), and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)

Subjects
High Order Reconstruction, Hypersonics, [SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environment, [INFO.INFO-DC]Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], Large Eddy Simulation, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, Immersed Boundary Method
Abstract

This paper inscribes itself in the ongoing doctoral work of the first author which aims at adapting the immersed boundary conditions (IBC) technique to three-dimensional (3D) large eddy simulations (LES) of viscous hypersonic flows around complex vehicles. The work relies on a pre-existing in-house IBC code, HYPERION (HYPERsonic vehicle design using Immersed bOuNdaries), originally developed in two dimensions (2D) as a proof of concept that it is possible to use IBC in the presence of strongly shocked flows [4]. As a first step towards the optimization of the 3D HYPERION, we discuss in this paper a novel MPI/Open MP hybrid rasterization algorithm allowing for the detection of immersed cells in record time even for very large problems. We then consider the least-square-based reconstruction algorithm from HYPERION [4]. It was shown in the original paper that the number of neighbors used in the reconstruction is directly related to the condition number of the least-square matrix and an optimum can be found when the condition number reaches an asymptote. In 3D configurations it is found that the number of neighbors has to be very high to ensure the proper conditioning of the least-square matrix. If the computation is distributed on several MPI processes (as is always the case in 3D for realistic return times), gathering the information from that many neighbors can cause obvious communication issues it amounts to covering large stencils with unrealistically large MPI halos. We therefore introduce an algorithm designed for a hybrid MPI/OpenMP environment based on migratable tasks and the consensus algorithm developed by [9] to remedy the former shortcoming. Finally, we discuss the premise of the implementation of LES capabilities in HYPERION. The last milestone of the main author's doctoral work is indeed to study the feasibility of embedding wall laws in the IBC modeling and reconstruction algorithm to try and counteract the low accuracy of the near-wall phenomena caused by the lack of body-fitted mesh.

Published
2022
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13. TOWARDS A BETTER PREDICTION OF AERODYNAMIC COEFFICIENTS IN AN IMMERSED BOUNDARY CONTEXT

Author

Constant, Benjamin, Péron, Stéphanie, Beaugendre, Heloise, Benoit, Christophe, DAAA, ONERA, Université Paris-Saclay [Châtillon], ONERA-Université Paris-Saclay, Bordeaux INP, Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Cartesian Mesh, Wall Model, [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], Turbulent Flows, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, Immersed Boundary Method
Abstract

International audience; This paper presents an improved immersed boundary method (IBM) with new wall model-ing assumptions for the simulation of compressible flows on Cartesian grids. This methodrelies on an adaptive positioning of both target and image points, in accordance with theReynolds number. It primarily ensures that the mesh is fine enough at the first computedcells to correctly capture the strong variations of the tangential velocity in the wall nor-mal direction, and ultimately prevents the appearance of spurious oscillations at the wall.In the present work, we take into consideration normal pressure gradient information,interpolated at a new set of image points positioned farther away from the geometry, inorder to extend the validity domain of our wall modeling. This significantly improvesthe prediction of the skin friction and the skin pressure coefficients, and also results in abetter estimation of both the drag and lift coefficients through the near-field integrationof all aerodynamic forces at the wall. The latest developments essentially consist in asecond-order extraction of the pressure at the wall during the post-processing step and amodification of Musker’s algebraic wall function to reconstruct the velocities and frictionat the target points at each iteration of the flow solver. This new methodology has beenvalidated through the study of subsonic flow simulations around a NACA0012 profile anda 3.5:1 prolate spheroid, where good agreements between the wall-modeled IBM solutionsand the body fitted wall-resolved references have been observed.

Published
2022

15. Data-driven calibration of rough heat transfer prediction using bayesian inversion and genetic algorithm

Author

Ignatowicz, Kevin, Solai, Elie, Morency, Francois, Beaugendre, Heloise, Ignatowicz, Kevin, Solai, Elie, Morency, Francois, and Beaugendre, Heloise

Abstract

The prediction of heat transfers in Reynolds-Averaged Navier–Stokes (RANS) simulations requires corrections for rough surfaces. The turbulence models are adapted to cope with surface roughness impacting the near-wall behaviour compared to a smooth surface. These adjustments in the models correctly predict the skin friction but create a tendency to overpredict the heat transfers compared to experiments. These overpredictions require the use of an additional thermal correction model to lower the heat transfers. Finding the correct numerical parameters to best fit the experimental results is non-trivial, since roughness patterns are often irregular. The objective of this paper is to develop a methodology to calibrate the roughness parameters for a thermal correction model for a rough curved channel test case. First, the design of the experiments allows the generation of metamodels for the prediction of the heat transfer coefficients. The polynomial chaos expansion approach is used to create the metamodels. The metamodels are then successively used with a Bayesian inversion and a genetic algorithm method to estimate the best set of roughness parameters to fit the available experimental results. Both calibrations are compared to assess their strengths and weaknesses. Starting with unknown roughness parameters, this methodology allows calibrating them and obtaining between 4.7% and 10% of average discrepancy between the calibrated RANS heat transfer prediction and the experimental results. The methodology is promising, showing the ability to finely select the roughness parameters to input in the numerical model to fit the experimental heat transfer, without an a priori knowledge of the actual roughness pattern.

Published
2022

16. An Enriched Shifted Boundary Method to Account For Moving Fronts

Author

Carlier, Tiffanie, Nouveau, Léo, Beaugendre, Heloise, Colin, Mathieu, Ricchiuto, Mario, CARLIER, Tiffanie, Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-INSTITUT AGRO Agrocampus Ouest, and Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)

Subjects
Finite element method, Stefan mixed formulation, Temperature enrichment, Moving front, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH] Mathematics [math], [MATH]Mathematics [math], Jump condition, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Enriched shifted boundary method
Abstract

We present an extension of the shifted boundary method to simulate partial differential equations with moving internal interfaces. The objective is to apply the method to phase change problems modelled by the Stefan equation : the parabolic heat equation with a discontinuity separating the two phases, moving at a speed given by the normal flux jump. To obtain an accurate prediction of the temperature field on both sides of the discontinuity, and of the position of the discontinuity itself, we propose an enhanced variant of the shifted boundary method. This method is based on an enriched mixed form proposed by some of the present authors, which allows a uniform second order accuracy in space and time. Stabilization terms are added on the whole domain to ensure convergence. The specificities generated by the interface displacement are handled by a particular construction, with a double nodal points structure at the surrogate interface. Several recovering techniques based on Taylor developments from the interface to its surrogate, and a least square minimization method for node initialization are performed to recover the missing values generated by the moving interface and the phase structure of the model.

Published
2022

17. Lois de paroi basées sur l'apprentissage profond pour simulations aérodynamiques : Une nouvelle approche inspirée des lois des paroi classiques

Author

Romanelli, Michele, Beneddine, Samir, Beaugendre, Heloise, Sipp, Denis, Mary, Ivan, Bergmann, Michel, André, Cécile, DAAA, ONERA, Université Paris Saclay [Meudon], ONERA-Université Paris-Saclay, Modeling Enablers for Multi-PHysics and InteractionS (MEMPHIS), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), DAAA, ONERA, Université Paris-Saclay [Châtillon], and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[PHYS]Physics [physics], Turbulence, [SPI]Engineering Sciences [physics], Lois de paroi, [SPI] Engineering Sciences [physics], RANS, [INFO]Computer Science [cs], Apprentissage automatique, MACHINE LEARNING, [INFO] Computer Science [cs], CFD, WALL LAWS, [PHYS] Physics [physics]
Abstract

A new deep learning-based approach to wall models is proposed here. The wall model is inspired by classical wall laws, which rely on wall dimensionless quantities, such as the wall distance y + , the wall velocity u + , the wall friction velocity u τ and the wall pressure gradient p +. This paper describes the model formulation, the implementation in a CFD code and demonstration simulations. The numerical results are presented for a flat plate boundary layer at zero pressure gradient and a bump case. The neural network models are trained on RANS datasets (Spalart-Allmaras model) from these configurations that account for different levels of adverse pressure gradient and Reynolds numbers. Finally, the wall model is applied and tested on RANS simulations with under-resolved meshes at the wall., Une nouvelle approche des modèles de paroi basée sur l'apprentissage profond est proposée. Le modèle de paroi s'inspire des lois de paroi classiques qui reposent sur des quantités adimensionnelles de paroi, telles que la distance de paroi, la vitesse de paroi, la vitesse de frottement et le gradient de pression de paroi. La formulation du modèle et son implémentation dans un code CFD sont détaillées. Les résultats numériques sont présentés pour une couche limite de plaque plane à gradient de pression nul et un cas de bosse. Les réseaux neuronaux sont entraînés sur des ensembles de données RANS (modèle Spalart-Allmaras) provenant de ces configurations qui tiennent compte de différents niveaux de gradient de pression adverse et de nombres de Reynolds.Enfin, le modèle de paroi est appliqué et testé sur des simulations RANS avec des mailles sous-résolues au niveau de la paroi.

Published
2022

20. Development of a second generation in-flight icing simulation code

Author

Beaugendre, Heloise, Morency, Francois, and Habashi, Wagdi G.

Subjects
Icing (Meteorology) -- Research, Computer-generated environments -- Analysis, Computer simulation -- Analysis, Engineering and manufacturing industries, Science and technology
Abstract

Two-dimensional and quasi-3D in-flight ice accretion simulation codes have been widely used by the aerospace industry for the last two decades as an aid to the certification process. The present paper proposes an efficient numerical method for calculating ice shapes on simple or complex 3D geometries. The resulting ice simulation system, FENSAP-ICE, is built in a modular fashion to successively solve each flow, impingement and accretion via field models based on partial differential equations (PDEs). The FENSAP-ICE system results are compared to other numerical and experimental results on 2D and slightly complex 3D geometries. It is concluded that FENSAP-ICE gives results in agreement with other code calculation results, for the geometries available in the open literature. [DOI: 10.1115/1.2169807]

Published
2006

21. FENSAP-ICE's three-dimensional in-flight ice accretion module: ICE3D

Author

Beaugendre, Heloise, Morency, Francois, and Habashi, Wagdi G.

Subjects
Flight simulators -- Evaluation, Icing (Meteorology) -- Models, Icing (Meteorology) -- Usage, Aerospace industry -- Research, Aerospace and defense industries, Business, Science and technology
Abstract

Two-dimensional and quasi-three-dimensional in-flight ice accretion simulation codes have been increasingly used by the aerospace industry in the last two decades as an aid to the certification process. Such codes predict two-dimensional sectional ice shapes, which are then manufactured from a light material and attached as disposable profiles on test aircraft to investigate them for stability under icing encounters. Although efficient for calculating ice shapes on simple geometries, current codes encounter major difficulties or simply cannot simulate ice shapes on truly three-dimensional geometries such as nonaxisymetric nacelles, high-lift wings, engine intakes, or systems that combine external and internal flows. Modern computational fluid dynamics approaches may not encounter or engender these difficulties, and FENSAP-ICE is a combination of four modules forming a complete and generic in-flight icing simulation system, built in a way to solve successively impingement, ice accretion, heat loads, and performance degradation via new mathematical models based on the Navier-Stokes equations for the flow and Navier-Stokes-like partial differential equations for the three other processes. The set of equations describing FENSAP-ICE's airflow solver, FENSAP, its impingement module, DROP3D, and its accretion module, ICE3D, are presented. Also a validation roadmap of ICE3D, for both two- and three-dimensional geometries, is presented.

Published
2003

22. Numerical Simulation of a Battery Thermal Management System Under Uncertainty for a Racing Electric Car

Author

Solai, Elie, Beaugendre, Heloise, Congedo, Pietro Marco, Daccord, Rémi, Guadagnini, Maxime, Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Polytechnique de Bordeaux (Bordeaux INP), Shape reconstruction and identification (DeFI ), Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-Inria Saclay - Ile de France, EXOES, Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP), and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], [SPI.MECA.THER]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Thermics [physics.class-ph], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS
Abstract

National audience

Published
2019

23. Numerical simulation of ice accretion using Messinger-based approach: effects of surface roughness

Author

IGNATOWICZ, Kevin, MORENCY, François, BEAUGENDRE, Heloise, Ecole de Technologie Supérieure [Montréal] (ETS), Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Polytechnique de Bordeaux (Bordeaux INP), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Astrophysics::Earth and Planetary Astrophysics, [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, Physics::Atmospheric and Oceanic Physics
Abstract

International audience; In-flight icing on an aircraft's surface can be a major hazard in aeronautics's safety. Numerical simulations of ice accretion on aircraft is a common procedure to anticipate ice formation when flying in a supercooled water droplets cloud. Numerical simulations bring a better understanding of ice accretion phenomena, performance degradations and lead to even more efficient thermal de-icing systems' designs. Such simulations imply modelling the phase change of water and the mass and energy transfers. The Messinger model developed in the 1950′ is still used today as a reliable basis for new models development. This model estimates the ice growth rate using mass and energy balances coupled to a runback water flow. The main parameter introduced with this approach is the freezing fraction, denoting the fraction of incoming water that effectively freezes on the airfoil. The objective of the present work is to model an ice accretion on an airfoil using a Messinger-based approach and to make a sensitivity analysis of roughness models on the ice shape. The test case will be performed on a 2D NACA0012 airfoil. A typical test case on a NACA0012 airfoil under icing conditions will be run and confronted with the literature for verification prior to further investigations. Ice blocks profiles comparisons will highlight the differences implied by the choice of the roughness correction, which impact the heat transfer coefficient.

Published
2019

24. Grid study for Delayed Detached Eddy-Simulation's grid of a pre-stalled wing

Author

Huck, Violaine, Morency, François, Beaugendre, Heloise, Ecole de Technologie Supérieure [Montréal] (ETS), Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), PLAFRIM-CPU-MCIA, Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Physics::Fluid Dynamics, [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Abstract

International audience; For wing in medium or deep stalled configuration, strong vortices occur whereas the boundary layer still affects the aerodynamic coefficients' results. In the past recent years, RANS' model (Reynolds-Averaged Navier-Stokes) has been widely used to predict aerodynamic phenomena, but it showed its weakness in predicting the modulation in vortex shedding (Forsythe, Squires, Wurtzler, & Spalart, 2004; Liang & Xue, 2014). Concomitantly Large Eddy Simulation (LES) succeeds in modelling eddy phenomena, while it fails predicting boundary-layer's phenomena with the current computation's power (Mockett, 2009). Using the advantage of both methods, Delayed Detached Eddy-Simulation (DDES) shows better results, but the solutions given seem to show more sensitivity to grid refinement than RANS or LES (Forsythe et al., 2004). In order to spare time and resources while increasing the results' accuracy of the stalled wing configuration's aerodynamic coefficients, this study offers a parametric grid study for the DDES model. For three different grid refinements, characteristics of lift and eddy phenomena are presented and compared to determine, for an infinite wing, the best compromise between time and resources' consumption, and results' accuracy. Using the open software SU2 6.1 (Stanford University Unstructured), we generate three different types of grid refinements around an airfoil, developed spanwise to obtain a straight wing. On the same stalled configuration for each mesh, CFD solutions are ran with the DDES model, and the raw data are postprocessed with the open software ParaView 5.6. We then compare the aerodynamic coefficients' distributions obtained by the three mesh. The general modelling of vortex shedding's topology and turbulence viscosity are compared with the literature to ensure the right rendering of vortex structures. Chordwise pressure and friction coefficients' distributions as well as the spanwise lift coefficient are also compared. We conclude with the optimum mesh in term of results and resources' consumption.

Published
2019

25. Improvement of near wall velocity prediction using a mask in a penalized Vortex-In-Cell algorithm

Author

Morency, François, Beaugendre, Heloise, Ecole de Technologie Supérieure [Montréal] (ETS), Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Polytechnique de Bordeaux (Bordeaux INP), PLAFRIM-CPU-MCIA, European Project: 605180,EC:FP7:TPT,FP7-AAT-2013-RTD-1,STORM(2013), and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest

Subjects
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS, [SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph], [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]
Abstract

International audience

Published
2017

26. Advanced numerical methods for ice trajectory calculations

Author

Beaugendre, Heloise, Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Polytechnique de Bordeaux (Bordeaux INP), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), PLAFRIM-CPU-MCIA, European Project: 605180,EC:FP7:TPT,FP7-AAT-2013-RTD-1,STORM(2013), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS, [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]
Abstract

International audience

Published
2016

28. An adaptive, residual based splitting approach for the time dependent penalized Navier Stokes equations

Author

Nouveau, Léo, Beaugendre, Heloise, Dobrzynski, Cecile, Abgrall, Remi, Ricchiuto, Mario, Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Polytechnique de Bordeaux (Bordeaux INP), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Universität Zürich [Zürich] = University of Zurich (UZH), PLAFRIM-CPU-MCIA, European Project: 605180,EC:FP7:TPT,FP7-AAT-2013-RTD-1,STORM(2013), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)

Subjects
r adaptation, Penalization Methods, Immersed boundary method IBM, Residual distribution schemes, ALE Arbitrtary Lagrangian Eulerian, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Abstract

International audience; The coupling of anisotropic unstructured mesh adaptation techniques with immersed boundary method (IBM) is studied for time dependent flow simulations involving moving objects.This work is incorporated within the framework of the European STORM project, with the aim (among others) to improve accuracy of simulation tools for ice shedding trajectories. The moving objects considered here are ice blocks detached from the aircraft after the use of a de-icing system. Their trajectories are required to predict if sensitive parts of the propulsive system could be damaged.The starting point of our work is an IBM method known as penalization introduced by Brinkmann in 1947 for a swarm of particles. In this approach a source term is added to the NS equations to account for the momentum defect related to the movement of the body, and representative of the forces exchanged between the fluid and the solid.We propose a complete study for solving unsteady penalized equations based on a Strang splitting approach. It allows to solve separately the NS part of the equations and the penalization part with a global second order accuracy in space and time. This approach has three main advantages. First, because of time step restriction, penalization has to be solved implicitly and therefore, the splitting allows flexibility in the choice of the scheme for the NS part (explicit scheme for instance, under condition of second order accuracy). Secondly, force computations can be performed using the change of momentum technique presented in. Finally, this splitting leads to a point by point resolution of the penalized part implying nomatrix inversion, this matrix being potentially ill conditioned owing to the penalty parameter.To reduce the error on solid boundaries typically associated to IBM methods, we use unstructured mesh adaptation techniques. We present results of solids moved by a flow which requires a moving mesh in order to keep this adaptation. Thus, ALE residual distribution schemes areemployed for solving the NS part of the splitting, combined to an exact solution of the ordinary differential equationsrunning the penalized part (over an asymptotic approximation with respect to the penalty parameter).

Published
2016

29. Numerical simulation of ice block trajectories

Author

Beaugendre, Heloise, Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Polytechnique de Bordeaux (Bordeaux INP), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Bordeaux University, PLAFRIM-CPU-MCIA, Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS
Abstract

International audience

Published
2016

30. An ALE residual distribution approach applied to the penalized Navier Stokes equations on adapted grids for moving solids

Author

Nouveau, Léo, Beaugendre, Heloise, Dobrzynski, Cecile, Abgrall, Remi, Ricchiuto, Mario, Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Polytechnique de Bordeaux (Bordeaux INP), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Universität Zürich [Zürich] = University of Zurich (UZH), PLAFRIM-CPU-MCIA, European Project: 605180,EC:FP7:TPT,FP7-AAT-2013-RTD-1,STORM(2013), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)

Subjects
r adaptation, Penalization Methods, FSI Interaction Fluides Structures, Immersed boundary method IBM, Residual distribution schemes, ALE Arbitrtary Lagrangian Eulerian, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Abstract

National audience; In this work, we propose to study the coupling of unstructured mesh adaptation techniques with immersed boundary method (IBM) involving moving objects. The starting point is an IBM known as penalization, introduced by Brinkmann in 1947 for a swarm of particles. A source term is added to the usual Navier Stokes (NS) equations accounting for the boundary conditions.A Strang Splitting approach is employed to solve separately the NS part and the penalized part of the equations. It allows to remove the time step restriction known for penalization while using an explicit scheme, but conserving a global second order accuracy in time. In addition, forces computation can be performed using the method proposed on structured grids. Finally, this approach leads to a pointby point resolution of the ordinary differential equation (ODE) ruling the penalized part, implying no matrix inversion.To reduce the error on solid boundaries typically associated to IBM, an elasticity based adaptation technique is employed. As this approach conserves mesh connectivity, the RDS are presented in an ALE framework. Those schemes are combined to an exact solution of the ODE governing the penalized part of the equations (over an asymptotic approximation with respect to the penalty parameter).

Published
2016

31. p-adaptation using residual distribution schemes with continuous finite elements

Author

ABGRALL, Rémi, BEAUGENDRE, Heloise, DOBRZYNSKI, Cecile, VIVILLE, Quentin, Institut für Mathematik [Zürich], Universität Zürich [Zürich] = University of Zurich (UZH), Institut Polytechnique de Bordeaux (Bordeaux INP), Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Inria Bordeaux Sud-Ouest, IMB, Bordeaux INP, and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest

Subjects
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

In this paper, a novel approach that allows to use p-adaptation with continuous finite elements is proposed.Under certain conditions, primarily the use of a residual distribution scheme, it is possible to avoid the continuity constraint imposedto the approximate solution, while still retaining the advantages of a method using continuous finite elements. The theoretical material,the complete numerical method and practical results show as a proof of concept that p-adaptation is possible with continuous finite elements, well suited for non linear cases and that this approach brings some advantages.

Published
2015

37. An Adaptive Residual Based Approach for Solving the Penalized Navier-Stokes Equations in Fluid Structure Interaction

Author

Nouveau, Léo, Beaugendre, Heloise, Dobrzynski, Cecile, Ricchiuto, Mario, Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Polytechnique de Bordeaux (Bordeaux INP), PLAFRIM-CPU-MCIA, European Project: 605180,EC:FP7:TPT,FP7-AAT-2013-RTD-1,STORM(2013), and Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest

Subjects
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph], [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]
Abstract

International audience

38. Topological Analysis of Ensembles of Hydrodynamic Turbulent Flows An Experimental Study

Author

Nauleau, Florent, Vivodtzev, Fabien, Bridel-Bertomeu, Thibault, Beaugendre, Heloise, Tierny, Julien, Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Polytechnique de Bordeaux (Bordeaux INP), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS), European Project: 863464,TORI, Centre d'études scientifiques et techniques d'Aquitaine (CESTA), Direction des Applications Militaires (DAM), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Algorithmes, Programmes et Résolution (APR), LIP6, and Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], Computational Geometry (cs.CG), FOS: Computer and information sciences, Computer Science - Machine Learning, [INFO.INFO-DB]Computer Science [cs]/Databases [cs.DB], Computer Vision and Pattern Recognition (cs.CV), Fluid Dynamics (physics.flu-dyn), Computer Science - Computer Vision and Pattern Recognition, [INFO.INFO-CV]Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV], FOS: Physical sciences, Physics - Fluid Dynamics, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR], Graphics (cs.GR), Machine Learning (cs.LG), Computer Science - Graphics, [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG], [INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV], Computer Science - Computational Geometry, [INFO.INFO-MS]Computer Science [cs]/Mathematical Software [cs.MS]
Abstract

International audience; This application paper presents a comprehensive experimental evaluation of the suitability of Topological Data Analysis (TDA) for the quantitative comparison of turbulent flows. Specifically, our study documents the usage of the persistence diagram of the maxima of flow enstrophy (an established vorticity indicator), for the topological representation of 180 ensemble members, generated by a coarse sampling of the parameter space of five numerical solvers. We document five main hypotheses reported by domain experts, describing their expectations regarding the variability of the flows generated by the distinct solver configurations. We contribute three evaluation protocols to assess the validation of the above hypotheses by two comparison measures: (i) a standard distance used in scientific imaging (the $L_2$ norm) and (ii) an established topological distance between persistence diagrams (the $L_2$-Wasserstein metric). Extensive experiments on the input ensemble demonstrate the superiority of the topological distance (ii) to report as close to each other flows which are expected to be similar by domain experts, due to the configuration of their vortices. Overall, the insights reported by our study bring an experimental evidence of the suitability of TDA for representing and comparing turbulent flows, thereby providing to the fluid dynamics community confidence for its usage in future work. Also, our flow data and evaluation protocols provide to the TDA community an application-approved benchmark for the evaluation and design of further topological distances.

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39. Parallel Implementation of k-Exact Finite Volume Reconstruction on Unstructured Grids

Author

Haider, Florian, Brenner, Pierre, Courbet, Bernard, Croisille, Jean-Pierre, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Abgrall, Rémi, editor, Beaugendre, Héloïse, editor, Congedo, Pietro Marco, editor, Dobrzynski, Cécile, editor, Perrier, Vincent, editor, and Ricchiuto, Mario, editor

Published
2014
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40. Detecting Edges in High Order Methods for Hyperbolic Conservation Laws

Author

Wirz, Martina, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Abgrall, Rémi, editor, Beaugendre, Héloïse, editor, Congedo, Pietro Marco, editor, Dobrzynski, Cécile, editor, Perrier, Vincent, editor, and Ricchiuto, Mario, editor

Published
2014
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41. High Order SFV and Mixed SDG/FV Methods for the Uncertainty Quantification in Multidimensional Conservation Laws

Author

Tokareva, Svetlana, Schwab, Christoph, Mishra, Siddhartha, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Abgrall, Rémi, editor, Beaugendre, Héloïse, editor, Congedo, Pietro Marco, editor, Dobrzynski, Cécile, editor, Perrier, Vincent, editor, and Ricchiuto, Mario, editor

Published
2014
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42. High-Order Discontinuous Galerkin Solution of Unsteady Flows by Using an Advanced Implicit Method

Author

Nigro, Alessandra, De Bartolo, Carmine, Bassi, Francesco, Ghidoni, Antonio, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Abgrall, Rémi, editor, Beaugendre, Héloïse, editor, Congedo, Pietro Marco, editor, Dobrzynski, Cécile, editor, Perrier, Vincent, editor, and Ricchiuto, Mario, editor

Published
2014
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43. 3D Application of Higher Order Multigrid Algorithms for a RANS-kω DG-Solver

Author

Wallraff, Marcel, Leicht, Tobias, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Abgrall, Rémi, editor, Beaugendre, Héloïse, editor, Congedo, Pietro Marco, editor, Dobrzynski, Cécile, editor, Perrier, Vincent, editor, and Ricchiuto, Mario, editor

Published
2014
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44. Taylor Expansion Method for Linear Lattice Boltzmann Schemes with an External Force: Application to Boundary Conditions

Author

Dubois, François, Lallemand, Pierre, Tekitek, Mohamed Mahdi, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Abgrall, Rémi, editor, Beaugendre, Héloïse, editor, Congedo, Pietro Marco, editor, Dobrzynski, Cécile, editor, Perrier, Vincent, editor, and Ricchiuto, Mario, editor

Published
2014
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45. Finite Volume Formulation of a Third-Order Residual-Based Compact Scheme for Unsteady Flow Computations

Author

Grimich, Karim, Michel, Bertrand, Cinnella, Paola, Lerat, Alain, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Abgrall, Rémi, editor, Beaugendre, Héloïse, editor, Congedo, Pietro Marco, editor, Dobrzynski, Cécile, editor, Perrier, Vincent, editor, and Ricchiuto, Mario, editor

Published
2014
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46. High–Order Asymptotic–Preserving Methods for Nonlinear Relaxation from Hyperbolic Systems to Convection–Diffusion Equations

Author

Boscarino, Sebastiano, Russo, Giovanni, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Abgrall, Rémi, editor, Beaugendre, Héloïse, editor, Congedo, Pietro Marco, editor, Dobrzynski, Cécile, editor, Perrier, Vincent, editor, and Ricchiuto, Mario, editor

Published
2014
Full Text
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47. A Hybrid Finite Difference-WENO Scheme for Large Eddy Simulation of Compressible Flows

Author

Burbeau-Augoula, Anne, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Abgrall, Rémi, editor, Beaugendre, Héloïse, editor, Congedo, Pietro Marco, editor, Dobrzynski, Cécile, editor, Perrier, Vincent, editor, and Ricchiuto, Mario, editor

Published
2014
Full Text
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48. Discontinuous Galerkin Method and Applications to Fluid-Structure Interaction Problems

Author

Feistauer, Miloslav, Česenek, Jan, Hadrava, Martin, Horáček, Jaromír, Kosík, Adam, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Abgrall, Rémi, editor, Beaugendre, Héloïse, editor, Congedo, Pietro Marco, editor, Dobrzynski, Cécile, editor, Perrier, Vincent, editor, and Ricchiuto, Mario, editor

Published
2014
Full Text
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49. A Comparison of Analytical Solutions of a High-Order RBC Scheme and Its Equivalent Differential Equation for a Steady Shock Problem

Author

Lerat, Alain, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Abgrall, Rémi, editor, Beaugendre, Héloïse, editor, Congedo, Pietro Marco, editor, Dobrzynski, Cécile, editor, Perrier, Vincent, editor, and Ricchiuto, Mario, editor

Published
2014
Full Text
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