Numerical entropy production and error indicator for compressible flows

Frederic Golay (1)

1 IMATH - Institut de Mathématiques de Toulon - EA 2134

In the case of multifluid flows, it is classical to refine the mesh in order to improve the precision. As mesh refinement criterion, we propose to use the numerical entropy production. In a refinement procedure by bitree, we check the relevance of this criterion. Our objective is to validate the mesh refinement before integrating it into a three-dimensional parallel code

Keywords: Error indicator; Entropy production; Computational fluid mechanics; Godunov's scheme; Finite volume; Mesh refinement

Domains: Mechanics [physics.med-ph]

Frederic Golay. Numerical entropy production and error indicator for compressible flows. Comptes Rendus Mécanique, 2009, 337 (4), pp.233-237. ⟨10.1016/j.crme.2009.04.004⟩. ⟨hal-00979068⟩