The eXteme Mesh deformation approach (X-Mesh) applied to the Porous Medium Equation
Résumé
Numerical simulation of the Porous Medium Equation (PME) is challenging due to the specific properties of its solutions. Notably, the PME exhibits a distinctive feature -a time-dependent interface emerges when the initial solution is zero in part of the spatial domain. We propose here to leverage the eXtreme Mesh deformation approach (X-Mesh), initially developed for two-phase problems, to efficiently and accurately compute solutions for the PME, tracking sharp interfaces and their potential topology changes without the need for remeshing or altering mesh topology.
Domaines
Mécanique [physics.med-ph]Origine | Fichiers produits par l'(les) auteur(s) |
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