Résolution de l’équation de la chaleur instationnaire en milieu confiné par une méthode particules-maillage. (Numerical solution of the heat equation in an enclosure using a particle mesh method). (French) Zbl 0668.76121

Huberson, Serge; Jollès, Anne

C. R. Acad. Sci., Paris, Sér. II 309, No. 5, 445-448 (1989).

This paper is devoted to present a deterministic grid-particle method for the approximation of convection-diffusion equations on a bounded area in two dimensions. Using a Clouds-in-Cells representation the method is applied to the heat equation with non-degenerate boundary conditions of the Dirichlet type.

MSC:

76R50	Diffusion
35K05	Heat equation

Keywords:

deterministic grid-particle method; convection-diffusion equations; Clouds-in-Cells representation; heat equation with non-degenerate boundary conditions of the Dirichlet type