Some explicit triangular finite element schemes for the Euler equations
Abstract
Several explicit and low-order schemes for arbitrary finite element triangulations are presented to solve Euler equations. A first-order upwind scheme with convective-type upwinding for FEM is found to be accurate and easy to use. Stationary simulations show shocks captured without oscillations. The scheme is rapidly convergent but quite diffusive. A second-order Richtmyer scheme is constructed which is as accurate as several other second-order schemes. Due to the presence of nodes along the boundaries, extrapolations are not needed for computation or for results along the profile.
- Publication:
-
International Journal for Numerical Methods in Fluids
- Pub Date:
- August 1984
- DOI:
- 10.1002/fld.1650040804
- Bibcode:
- 1984IJNMF...4..749A
- Keywords:
-
- Computational Fluid Dynamics;
- Euler Equations Of Motion;
- Finite Element Method;
- Flow Stability;
- Hyperbolic Differential Equations;
- Transonic Flow;
- Conservation Equations;
- Convective Flow;
- Entropy;
- Numerical Stability;
- Shock Waves;
- Triangulation;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer