Numerical solution of Euler equations for compressible fluids by the finite element method, volume 3
Abstract
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.
- Publication:
-
Final Report Institut National de Recherche d'Informatique et d'Automatique
- Pub Date:
- December 1986
- Bibcode:
- 1986inri.reptS.....
- Keywords:
-
- Boundary Layer Flow;
- Compressible Flow;
- Euler Equations Of Motion;
- Finite Element Method;
- Galerkin Method;
- Boundary Conditions;
- Computational Grids;
- Computerized Simulation;
- Finite Volume Method;
- Runge-Kutta Method;
- Transonic Flow;
- Fluid Mechanics and Heat Transfer