Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations

Raphaele Herbin (1) , Jean-Claude Latché (2)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités
2 IRSN - Institut de Radioprotection et de Sûreté Nucléaire

We construct a discretization of the nonlinear compressible Navier-Stokes equations on a staggered grid such that the discrete kinetic energy is preserved.

Domaines: Analyse numérique [math.NA]

Raphaele Herbin, Jean-Claude Latché. Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations. International Journal on Finite Volumes, 2010, 7 (2). ⟨hal-00477079⟩