Parallel simulation of three-dimensional complex flows: Application to two-phase compressible flows and turbulent wakes

In this paper, we present parallel simulations of three-dimensional complex flows obtained on an ORIGIN 3800 computer and on homogeneous and heterogeneous (processors of different speeds and RAM) computational grids. The solver under consideration, which is representative of modern numerics used in industrial computational fluid dynamics (CFD) software, is based on a mixed element-volume method on unstructured tedrahedrisations. The parallelisation strategy combines mesh partitioning techniques, a message-passing programming model and an additive Schwarz algorithm. The parallelisation performances are analysed on a two-phase compressible flow and a turbulent flow past a square cylinder.

[1]  Stéphane Lanteri,et al.  Simulation of compressible viscous flows on a variety of MPPs: computational algorithms for unstructured dynamic meshes and performance results , 1994 .

[2]  Sukumar Chakravarthy,et al.  Interfacing Statistical Turbulence Closures with Large-Eddy Simulation , 2004 .

[3]  Alain Dervieux,et al.  A low-diffusion MUSCL scheme for LES on unstructured grids , 2004 .

[4]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[5]  Charbel Farhat,et al.  A Minimum Overlap Restricted Additive Schwarz Preconditioner and Applications in 3D Flow Simulations , 1998 .

[6]  Charbel Farhat,et al.  Computation of unsteady viscous flows around moving bodies using the k–ε turbulence model on unstructured dynamic grids , 2000 .

[7]  P. Roe.  Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[8]  ScienceDirect,et al.  Advances in engineering software , 2008, Adv. Eng. Softw..

[9]  Andy Boucher.  Parallel Machines , 2004, Minds and Machines.

[10]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[11]  E. D. Obasaju,et al.  An experimental study of pressure fluctuations on fixed and oscillating square-section cylinders , 1982, Journal of Fluid Mechanics.

[12]  Charbel Farhat,et al.  A Variational Multiscale Method for the Large Eddy Simulation of Compressible Turbulent Flows on Unstructured Meshes - Application to vortex shedding , 2004 .

[13]  Hervé Guillard,et al.  A Second Order Defect Correction Scheme for Unsteady Problems , 1996 .

[14]  Joel H. Ferziger,et al.  Status of Large Eddy Simulation: Results of a Workshop , 1997 .

[15]  Hervé Guillard,et al.  A five equation reduced model for compressible two phase flow problems , 2005 .

[16]  E. Toro.  Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .

[17]  Shmuel Einav,et al.  A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder , 1995, Journal of Fluid Mechanics.

[18]  Alain Dervieux,et al.  Steady Euler simulations using unstructured meshes , 1985 .

[19]  Eric Schall,et al.  Turbulence modeling challenges in airship CFD studies , 2003 .

[20]  Wolfgang Rodi,et al.  The flapping shear layer formed by flow separation from the forward corner of a square cylinder , 1994, Journal of Fluid Mechanics.

[21]  Aad J. Dongarra.  Overview of Recent Supercomputers , 1996 .

[22]  Hervé Guillard,et al.  Godunov type method on non-structured meshes for three-dimensional moving boundary problems , 1994 .

[23]  Alain Dervieux,et al.  Numerical simulation of a jet in crossflow. Application to GRID computing , 2005 .

[24]  Stephen Wornom.  Parallel computations of one-phase and two-phase flows using the MecaGRID , 2003 .

[25]  S. SIAMJ.,et al.  A SIMPLE METHOD FOR COMPRESSIBLE MULTIFLUID FLOWS , 1999 .

[26]  Christian Olivier,et al.  Resolution numerique des equations de Navier-Stokes pour un fluide compressible en maillage triangulaire , 1989 .

[27]  Jérôme Giordano.  Contribution à la modélisation numérique des problèmes d'interactions fluide-fluide et fluide-structure , 2004 .

[28]  Stephane Lanteri.  Parallel Solutions of Three-Dimensional Compressible Flows , 1995 .

[29]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .

[30]  Alain Dervieux,et al.  Large‐eddy simulation of a bluff‐body flow on unstructured grids , 2002 .

[31]  Angelo Murrone,et al.  Modèles bi-fluides à six et sept équations pour les écoulements diphasiques à faible nombre de Mach , 2003 .

[32]  Alain Dervieux,et al.  Seven-equation, two-phase flow three-dimensional calculations using a Mixed-Element-Volume method , 2006 .

[33]  Aad J. van der Steen,et al.  Overview of recent supercomputers , 2008 .