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1. Comparison of various CFD codes for les simulations of turbomachinery: from inviscid vortex convection to multi-stage compressor

Author

Guillaume Puigt, Alexandre Minot, Michel Rasquin, Emma Croner, Laurent Gicquel, N. Villedieu, Thierry Poinsot, Jérôme Dombard, Koen Hillewaert, Emeric Martin, Eric Lippinois, Jean-François Boussuge, Vincent Brunet, Jerome de Laborderie, Gabriel Staffelbach, Olivier Vermorel, Marta de la Llave Plata, Jean-Marie Le Gouez, Ghislain Lartigue, Jean-Sébastien Cagnone, Luis Miguel Segui, Stéphane Richard, Florent Renac, Vincent Couaillier, Florent Duchaine, Vincent Moureau, Safran Tech, Safran Aircraft Engines, Safran Helicopter Engines, Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique (CERFACS), CERFACS, ONERA / DMPE, Université de Toulouse [Toulouse], PRES Université de Toulouse-ONERA, Cenaero, Complexe de recherche interprofessionnel en aérothermochimie (CORIA), Université de Rouen Normandie (UNIROUEN), Normandie Université (NU)-Normandie Université (NU)-Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie), Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), DAAA, ONERA, Université Paris-Saclay (COmUE) [Châtillon], and ONERA-Université Paris Saclay (COmUE)

Subjects
NUMERICAL SCHEME, TURBOMACHINE, Computer science, 02 engineering and technology, Computational fluid dynamics, 01 natural sciences, 010305 fluids & plasmas, [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph], TURBOMACHINERY, Discontinuous Galerkin method, Inviscid flow, 0103 physical sciences, Turbomachinery, 0202 electrical engineering, electronic engineering, information engineering, Finite volume method, business.industry, Mechanics, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, Vortex, LES, HPC, 020201 artificial intelligence & image processing, SCHEMA NUMERIQUE, Reynolds-averaged Navier–Stokes equations, business, Gas compressor
Abstract

International audience; Some possible future High Fidelity CFD codes for LES simulation of turbomachinery are compared on several test cases increasing in complexity , starting from a very simple inviscid Vortex Convection to a multistage axial experimental compressor. Simulations were performed between 2013 and 2016 b y major Safran partners (Cenaero, Cerfacs, CORIA and Onera) and various numerical methods compared : Finite Volume, Discontinuous Galerkin, Spectral Differences. Comparison to analytical results, to experimental data or to RANS simulations are performed to check and measure accuracy. CPU efficiency versus accuracy are also presented. It clearly appears that the level of maturity could be different between codes and numerical approaches. In the end, advantages and disadvantages of every codes obtained during this project are presented.

Published
2018
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2. Quantification of uncertainty on the catalytic property of reusable thermal protection materials from high enthalpy experiments

Author

Francois Sanson, Thierry Magin, Francesco Panerai, Pietro Marco Congedo, N. Villedieu, Olivier Chazot, 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), Aeronautics and Aerospace Department [Rhode-St-Genèse], von Karman Institute for Fluid Dynamics (VKI), 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
Fluid Flow and Transfer Processes, [PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], Hypersonic speed, Materials science, Mechanical Engineering, General Chemical Engineering, Nuclear engineering, Enthalpy, Aerospace Engineering, 02 engineering and technology, Solver, 01 natural sciences, 7. Clean energy, 010305 fluids & plasmas, Boundary layer, 020303 mechanical engineering & transports, 0203 mechanical engineering, Nuclear Energy and Engineering, 13. Climate action, Atmospheric entry, 0103 physical sciences, Fluid dynamics, Uncertainty quantification, Plasmatron
Abstract

International audience; An accurate determination of the catalytic property of thermal protection materi- als is crucial to design reusable atmospheric entry vehicles. This property is deter- mined by combining experimental measurements and simulations of the reactive boundary layer near the material surface. The inductively-driven Plasmatron fa- cility at the von Karman Institute for Fluid Dynamics provides a test environment to analyze gas-surface interactions under effective hypersonic conditions. In this study, we develop an uncertainty quantification methodology to rebuild values of the gas enthalpy and material catalytic property from Plasmatron experiments. A non-intrusive spectral projection method is coupled with an in-house boundary- layer solver, to propagate uncertainties and provide error bars on the rebuilt gas enthalpy and material catalytic property, as well as to determine which uncer- tainties have the largest contribution to the outputs of the experiments. We show that the uncertainties computed with the methodology developed are significantly reduced compared to those determined using a more conservative engineering ap- proach adopted in the analysis of previous experimental campaigns.

Published
2017
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3. High-order residual distribution and error estimation for steady and unsteady compressible flow

Author

N. Villedieu, Mario Ricchiuto, Lila Kolozar, Stefano D'Angelo, Martin Vymazal, Herman Deconinck, Aeronautics and Aerospace Department [Rhode-St-Genèse], von Karman Institute for Fluid Dynamics (VKI), CERFACS, 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), Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique (CERFACS), 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
Distribution (number theory), Mathematical analysis, 010103 numerical & computational mathematics, 01 natural sciences, Compressible flow, Residual distribution, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph], 010101 applied mathematics, [SPI]Engineering Sciences [physics], Acoustic wave propagation, Test case, 0101 mathematics, High order, ComputingMilieux_MISCELLANEOUS, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Mathematics
Abstract

In the first part, an extension of upwind residual distribution schemes for high-order accurate solution of hyperbolic problems is introduced, based on the use of spatially varying distribution matrices. Following this, the application to adjoint-based error estimation for steady compressible flow is presented. Finally the resolution of acoustic wave propagation by a space-time residual distribution is discussed. The accuracy of the methodology is demonstrated on several test cases.

Published
2015

4. Bayesian-based method with metamodels for rebuilding freestream conditions in atmospheric entry flows

Author

Pietro Marco Congedo, Thierry Magin, Rémi Abgrall, Julie Tryoen, N. Villedieu, Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems (BACCHUS), 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 de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS), Aeronautics and Aerospace Department [Rhode-St-Genèse], and von Karman Institute for Fluid Dynamics (VKI)

Subjects
[PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], Propagation of uncertainty, Computer science, business.industry, Bayesian probability, Aerospace Engineering, 010103 numerical & computational mathematics, Inverse problem, Computational fluid dynamics, 01 natural sciences, 010305 fluids & plasmas, Control theory, 0103 physical sciences, Trajectory, Sensitivity (control systems), 0101 mathematics, Stagnation pressure, business, Freestream, ComputingMilieux_MISCELLANEOUS
Abstract

The paper investigates a new methodology to rebuild freestream conditions for the trajectory of a reentry vehicle from stagnation-point measurements. Uncertainties due to measurements and model parameters are taken into account, and a Bayesian setting supplied with metamodels is used to solve the associated stochastic inverse problem. A sensitivity analysis based on a stochastic spectral framework is first investigated to study the impact of uncertain input data on stagnation-point measurements. An original backward uncertainty propagation method is then proposed, for which only the uncertainties that have the most impact are retained.

Published
2014

5. Sensitivity analysis and characterization of the uncertain input data for the EXPERT vehicle

Author

Rémi Abgrall, N. Villedieu, Thierry Magin, Pietro Marco Congedo, Julie Tryoen, Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems (BACCHUS), Centre National de la Recherche Scientifique (CNRS)-Université de Bordeaux (UB)-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 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), Aeronautics and Aerospace Department [Rhode-St-Genèse], von Karman Institute for Fluid Dynamics (VKI), plafrim, 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 de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS), 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
[PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], Propagation of uncertainty, Engineering, Mathematical optimization, business.industry, Bayesian probability, 010103 numerical & computational mathematics, Inverse problem, 01 natural sciences, Characterization (materials science), 010104 statistics & probability, Heat flux, Control theory, Trajectory, Sensitivity (control systems), 0101 mathematics, business, Freestream, ComputingMilieux_MISCELLANEOUS
Abstract

The paper investigates a new methodology to rebuild freestream conditions for the trajectory of a re-entry vehicle from measurements of stagnation-point pressure and heat flux. Uncertainties due to measurements and model parameters are taken into account and a Bayesian setting is used to solve the associated stochastic inverse problem. A sensitivity analysis based on a stochastic spectral framework is first investigated to study the impact of uncertain input data on stagnation-point measurements. An original backward uncertainty propagation method is then proposed, for which only the uncertainties that have the most impact are retained.

Published
2013

6. High-order residual distribution schemes on quadrilateral meshes

Author

Rémi Abgrall, Herman Deconinck, Tiago Quintino, N. Villedieu, von Karman Institute for Fluid Dynamics (VKI), Algorithms and high performance computing for grand challenge applications (SCALAPPLIX), Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB)-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 Sciences et Technologies - Bordeaux 1-Université Bordeaux Segalen - Bordeaux 2, 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 (UB)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB)-Centre National de la Recherche Scientifique (CNRS), 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
nonlinear first-order equation, Mathematical optimization, Iterative method, finite element method, Computational Mechanics, Upwind scheme, Computational fluid dynamics, 01 natural sciences, Mathematics::Numerical Analysis, 010305 fluids & plasmas, Development (topology), 0103 physical sciences, Convergence (routing), [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, Mathematics, high-order schemes, numerical examples, business.industry, Applied Mathematics, Mechanical Engineering, Finite element method, Computer Science Applications, stabilization, 010101 applied mathematics, Monotone polygon, quadrilateral elements, Mechanics of Materials, Mesh generation, residual distributive schemes, business
Abstract

International audience; This article deals with the latest development in the construction of monotone high-order residual distribution schemes (RDS) on quadrilateral meshes. In the first part we give some generalities about the way upwind high-order RDS is designed. In the second part, some standard schemes are described. Then, the design of a stabilization to help the convergence is shown. The last part of this article is dedicated to the results obtained with these schemes.

Published
2008
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