Resolution Numerique des Equations d'Euler pour les Fluides Compressibles Par des Methodes d'Elements Finis (Numerical Solution of Euler Equations for Compressible Fluids by the Finite Element Method, Volume 3)

摘要

The numerical solutions of steady flow Euler equations were studied using an asymptotic method with equations formulated in conservative primitive variables. An explicit scheme and a Richtmyer-Galerkin scheme were tried in several finite element contexts, including artificial viscosity, gliding conditions and several boundary condition configurations. The exploration of a Runge-Kutta scheme was used to develop an explicit version without matrix, twice as fast as the base version. A finite volume/finite element hybrid formulation is adopted for first order out of center schemes.