Finite Elements for Fluid Dynamics, Mixed-Type Problems, Transonic Flows.

摘要

The report includes two parts: (1) Various finite elements formulations and discretizations for initial/boundary value problems for the Tricomi equation in the hyperbolic domain, a continuation of our work last year. (2) An attempt to extend 'hyperbolic' methods of analysis to mixed type flows with hyperbolic-elliptic shocks and ensuing entropy conditions for stable, accurate numerical schemes.