Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
Abstract
A Petrov-Galerkin finite element formulation is presented for first-order hyperbolic systems of conservation laws with particular emphasis on the compressible Euler equations. Applications of the methodology are made to one- and two-dimensional steady and unsteady flows with shocks. Results obtained suggest the potential of the type of methods developed.
- Publication:
-
Computer Methods in Applied Mechanics and Engineering
- Pub Date:
- September 1984
- Bibcode:
- 1984CMAME..45..218H
- Keywords:
-
- Compressible Flow;
- Euler Equations Of Motion;
- Finite Element Method;
- Galerkin Method;
- Hyperbolic Functions;
- Airfoils;
- Barotropic Flow;
- Boundary Value Problems;
- Conservation Laws;
- Cylindrical Shells;
- Gas Flow;
- Isothermal Flow;
- Jacobi Matrix Method;
- Mach Number;
- Nozzle Flow;
- One Dimensional Flow;
- Perturbation Theory;
- Robustness (Mathematics);
- Shock Waves;
- Transonic Flow;
- Fluid Mechanics and Heat Transfer