Français Anglais
Accueil Annuaire Plan du site
Accueil > Evenements > Séminaires
Séminaire d'équipe(s) Parall
A parallel solver for simulations of incompressible fluid flows
Yushan Wang

14 June 2012, 10h30 - 14 June 2012, 11h30
Salle/Bat : 455/PCRI-N
Contact :

Activités de recherche :

Résumé :
We present an efficient parallel solver for the 3-D incompressible unsteady Navier-Stokes equations for fluid flows. These equations are discretized using second-order finite differences and the viscous terms are treated implicitly for numerical stability. The discrete formulation leads to a 3-D Helmholtz-like equation for each velocity component, which is solved by the Alternating Direction Implicit (ADI) method. This method enables us to transform the 3-D Helmholtz operator into three tridiagonal systems. An incremental prediction-projection method is used to enforce incompressibility. It results in a Poisson equation for the pressure in order to satisfy the divergence-free character of the velocity. This equation is discretized to second order accuracy and solved using a partial diagonalization method. This diagonalization transforms the Laplacean operator into a tridiagonal diagonally dominant matrix. The parallelization relies on a domain decomposition approach where the
tridiagonal systems are solved with the well-known Thomas algorithm coupled with the Schur complement procedure. Our implementation combines MPI message-passing with vectorization techniques. We provide performance results for this Navier-Stokes solver on current multicore or multicore + GPU systems.

Pour en savoir plus :
Séminaires
Portable vectorization and parallelization of C++
Calcul à haute performance
Tuesday 19 December 2017 - 10h30
Salle : 465 - PCRI-N
Laurent Plagne .............................................

Approximate Bayesian Computation and Random Forest
Thursday 14 December 2017 - 14h30
Salle : 465 - PCRI-N
Valentin Thouzeau .............................................

Cycles dans les produits cartésiens de graphes
Théorie des graphes
Friday 01 December 2017 - 14h30
Salle : 455 - PCRI-N
Evelyne Flandrin .............................................

SBGNlog: a logical framework based on SBGN to reas
Thursday 30 November 2017 - 14h30
Salle : 435 - PCRI-N
Adrien Rougny .............................................

Parsimony meets our understanding of recent human
Thursday 23 November 2017 - 14h30
Salle : 435 - PCRI-N
Luca Pagani .............................................