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
Resilient PDE solving approaches for exascale comp
Calcul à haute performance
Tuesday 29 May 2018 - 10h30
Salle : 465 - PCRI-N
Paul Mycek .............................................

Binary pattern of length greater than 14 are abeli
Combinatoire
Friday 25 May 2018 - 14h30
Salle : 445 - PCRI-N
Matthieu Rosenfeld .............................................

TBA
Algorithmique distribuée
Wednesday 02 May 2018 - 10h30
Salle : 465 - PCRI-N
Evangelos Bampas .............................................

Mariage stable auto-stabilisant et distribué
Théorie des graphes
Friday 13 April 2018 - 14h30
Salle : 445 - PCRI-N
Marie Laveau .............................................

Modélisation et implémentation du produit de matri
Calcul à haute performance
Wednesday 11 April 2018 - 10h30
Salle : 465 - PCRI-N
Thomas Lambert .............................................