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Sigma transformation and ALE formulation for three-dimensional free surface flows

Authors :
Jean-Frédéric Gerbeau
Astrid Decoene
Laboratorio di Modellistica e Calcolo Scientifico MOX (Dipartimento di Matematica 'Francesco Brioschi')
Politecnico di Milano [Milan] (POLIMI)
Numerical simulation of biological flows (REO)
Laboratoire Jacques-Louis Lions (LJLL)
Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Inria Paris-Rocquencourt
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
Nonlinear Analysis for Biology and Geophysical flows (BANG)
Source :
International Journal for Numerical Methods in Fluids, International Journal for Numerical Methods in Fluids, Wiley, 2009, 59 (4), pp.357-386. ⟨10.1002/fld.1816⟩, International Journal for Numerical Methods in Fluids, 2009, 59 (4), pp.357-386. ⟨10.1002/fld.1816⟩
Publication Year :
2008
Publisher :
HAL CCSD, 2008.

Abstract

In this paper we establish a link between the sigma transformation approach and the arbitrary Lagrangian–Eulerian (ALE) approach. For that purpose we introduce the ALE-sigma (ALES) approach, which consists in an ALE interpretation of the sigma transformation. Taking advantage of this new approach, we propose a general ALES transformation, allowing for a great adaptability of the vertical discretization and therefore overcoming some drawbacks of the classical sigma transformation. Numerical results are presented, showing the advantages of this general coordinate system, as, for example, a better representation of horizontal stratifications. Copyright © 2008 John Wiley & Sons, Ltd.

Subjects

Subjects :
010504 meteorology & atmospheric sciences
Discretization
Coordinate system
Computational Mechanics
Computational fluid dynamics
01 natural sciences
Euler–Lagrange equation
High Energy Physics::Theory
Calculus
Applied mathematics
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
0101 mathematics
Representation (mathematics)
0105 earth and related environmental sciences
Mathematics
sigma transformation
business.industry
Applied Mathematics
Mechanical Engineering
free surface flows
Sigma
Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)
Computer Science Applications
010101 applied mathematics
horizontal pressure gradient error
Transformation (function)
Mechanics of Materials
Mesh generation
ALE
Mathematics::Differential Geometry
business
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

Details

Language :
English
ISSN :
02712091 and 10970363
Database :
OpenAIRE
Journal :
International Journal for Numerical Methods in Fluids, International Journal for Numerical Methods in Fluids, Wiley, 2009, 59 (4), pp.357-386. ⟨10.1002/fld.1816⟩, International Journal for Numerical Methods in Fluids, 2009, 59 (4), pp.357-386. ⟨10.1002/fld.1816⟩
Accession number :
edsair.doi.dedup.....6d920adde98ae9b874e9a4cdada87771

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