Moving grids and cell volume calculations
Résumé
In this paper, we compare two methods to compute polygonal cell volumes in the case of moving grids in 1D, 2D or 3D.
The first method is based on the continuity equation, the volume is updated explicitly with regard to the node displacement.
The second one is just a formula that gives the volume according to the node positions.
We recall that using a first order in time explicit integration, the obtained volumes differ at second order in time. Explicit formulas for this difference are given.
We then provide a new formula that allow to ensure the equality of the volumes, by modifying the first method. This formula is semi-implicit.
Domaines
Analyse numérique [math.NA]
Origine : Fichiers produits par l'(les) auteur(s)