Communication Dans Un Congrès Année : 2005

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.
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hal-04912236 , version 1 (26-01-2025)

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  • HAL Id : hal-04912236 , version 1

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Alexandre Chemin, Jonathan Lambrechts, Nicolas Moës, Jean-François Remacle. The eXteme Mesh deformation approach (X-Mesh) applied to the Porous Medium Equation. The SIAM International Meshing Roundtable, 2005, Sandia National Laboratories, United States. ⟨hal-04912236⟩
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