1er Symposium canadien en analyse numérique et calcul scientifique
A Cartesian Grid Method for Solving a Poisson Equation with a Singular Source along a Front in an Irregular Domain
Proulx, Louis-Xavier
Département de mathématiques et de statistique, Université de Montréal

Projection methods can be used to enforce a divergence constraint on a velocity field. Our aim is to find a velocity field satisfying a divergence constraint with a source term represented by a Dirac delta function along a front. The projection involves the resolution of a Poisson equation with a singularity on the right hand side term over an irregular domain. A description of the Cartesian grid embedded boundary method and of the regularization of the singularity source for solving this equation will be given. An application of this method is a forest fire model that includes the feedback of the heat release at the front on the local wind.

Lundi, 17 juin, 11h00
Salle Des Plaines B