TIME DISCRETIZATION STRATEGIES FOR A 3D LID-DRIVEN CAVITY BENCHMARK WITH PETSc

Damien Tromeur-Dervout (1)

1 MMCS - Modélisation mathématique, calcul scientifique

We present parallel implementations in PETSc of three time discretization strategies to solve the 3D incompressible Navier-Stokes equations in velocity-vorticity formulation applied to the lid-driven cavity with aspect ratio 3:1 with second order finite differences discretization in space. Different features of the PETSC software are investigated allowing fast prototyping of parallel numerical methods adapted to the proposed strategies. Comparisons on parallel efficiency, numerical accuracy, and flow behavior are given

Mots clés: velocity-vorticity formulation; lid-driven cavity problem; Navier-Stokes; High performance computing; Navier-Stokes system

Domaines: Ingénierie, finance et science [cs.CE]; Mécanique des fluides [physics.class-ph]; Equations aux dérivées partielles [math.AP]

Damien Tromeur-Dervout. TIME DISCRETIZATION STRATEGIES FOR A 3D LID-DRIVEN CAVITY BENCHMARK WITH PETSc. 2018. ⟨hal-01943307v2⟩