Convergence study of a DDFV scheme for the Navier-Stokes equations arising in the domain decomposition setting

Thierry Goudon (1) , Stella Krell (1) , Giulia Lissoni (1, 2)

1 COFFEE - COmplex Flows For Energy and Environment
2 LMJL - Laboratoire de Mathématiques Jean Leray

We consider DDFV discretization of the Navier-Stokes equations where the convection fluxes are computed by means of B-schemes, generalizing the classical centered and upwind discretizations. This study is motivated by the analysis of domain decomposition approaches. We investigate on numerical grounds the convergence of the method.

Domaines: Mathématiques [math]; Analyse numérique [math.NA]

Thierry Goudon, Stella Krell, Giulia Lissoni. Convergence study of a DDFV scheme for the Navier-Stokes equations arising in the domain decomposition setting. FVCA 2020 - 9th Conference on Finite Volumes for Complex Applications, Jun 2020, Bergen, Norway. ⟨hal-02496823⟩