Numerical Modelling for Phase Changing Materials (PCM)

Alice Raeli (1, 2) , Mejdi Azaïez (1) , Michel Bergmann (2) , Angelo Iollo (2)

1 I2M - Institut de Mécanique et d'Ingénierie de Bordeaux
2 MEMPHIS - Modeling Enablers for Multi-PHysics and InteractionS

There are several reasons for a numerical study of partial differential equations; many of them describe physical phenomena such as electromagnetism, elasticity, etc... In this work we present an approach for the heat equation with discontinuous conductivity and its relative boundary conditions. We present a finite difference method (FDM) on hierarchical meshes based on octrees (quadtrees for 2D cases) built to solve the mathematical model that describes a Phase Changing Material (PCM). We show an analysis of this method and its building reasons; then we describe the technical tools and necessary observations for a consistent cell centered method. The mesh refinement follows the hybrid material's interface looking for the accuracy on the discontinuity presented by the physical problem.

Domaines: Analyse numérique [math.NA]

Alice Raeli, Mejdi Azaïez, Michel Bergmann, Angelo Iollo. Numerical Modelling for Phase Changing Materials (PCM). EDP Normandie 2015, Oct 2015, Le Havre, France. 2015. ⟨hal-01251126⟩