Skip to Main content Skip to Navigation

A parallel solver for incompressible fuid flows

Yushan Wang 1 Marc Baboulin 1, 2 Jack Dongarra 3 Joel Falcou 1 Yann Fraigneau 4 Olivier Le Maitre 4 
1 ParSys - LRI - Systèmes parallèles (LRI)
LRI - Laboratoire de Recherche en Informatique
2 GRAND-LARGE - Global parallel and distributed computing
LRI - Laboratoire de Recherche en Informatique, LIFL - Laboratoire d'Informatique Fondamentale de Lille, UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, CNRS - Centre National de la Recherche Scientifique : UMR8623
Abstract : The Navier-Stokes equations describe a large class of fluid flows but are difficult to solve analytically because of their nonlinearity. We present in this paper a parallel solver for the 3-D Navier-Stokes equations of incompressible unsteady flows with constant coefficients, discretized by the finite difference method. We apply a prediction-projection method that transforms the Navier-Stokes equations into three Helmholtz equations and one Poisson equation. For each Helmholtz system, we apply the Alternating Direction Implicit (ADI) method resulting in three tridiagonal systems. The Poisson equation is solved using partial diagonalization which transforms the Laplacian operator into a tridiagonal one. We present an implementation based on MPI where the computations are performed on each subdomain and information is exchanged at the interfaces between subdomains. We describe in particular how the solution of tridiagonal systems can be accelerated using vectorization techniques.
Document type :
Complete list of metadata

Cited literature [28 references]  Display  Hide  Download
Contributor : Marc Baboulin Connect in order to contact the contributor
Submitted on : Tuesday, February 19, 2013 - 2:54:39 PM
Last modification on : Sunday, June 26, 2022 - 11:58:19 AM
Long-term archiving on: : Sunday, April 2, 2017 - 2:38:14 AM


Files produced by the author(s)


  • HAL Id : hal-00790144, version 1


Yushan Wang, Marc Baboulin, Jack Dongarra, Joel Falcou, Yann Fraigneau, et al.. A parallel solver for incompressible fuid flows. [Research Report] RR-8247, INRIA. 2013, pp.16. ⟨hal-00790144⟩



Record views


Files downloads