Asymptotic-preserving numerical schemes for hyperbolic systems with source terms with parabolic limit

Rodolphe Turpault
Date and time
Workshop - Multiscale numerical methods for differential equations

In this talk, finite volumes numerical schemes will be introduced to preserve the asymptotic parabolic limit of a class of systems of conservation laws with source terms.
In particular, several strategies to obtain relevent schemes for 2D unstructured meshes will be proposed. In this context, the main difficulty is to preserve both the asymptotics and the set of admissible states.