Moving finite element modelling of compressible flow
Abstract
The development of moving-finite-element methods (MFEMs) for the computation of compressible-flow problems is examined in an analytical review of recent investigations. The basic principles of MFEMs for scalar hyperbolic conservation laws are outlined; their application to one-dimensional Euler problems is described; common-mesh and component-mesh approaches to systems are differentiated; and their effectiveness is evaluated in trial computations of the Sod (1978) shock-tube problem. The results are presented in graphs and characterized. A loss of rarefaction resolution is noted when a single moving mesh based on density is employed, and a procedure for avoiding this difficulty is proposed.
- Publication:
-
Applied Numerical Mathematics
- Pub Date:
- December 1986
- Bibcode:
- 1986ApNM....2..495B
- Keywords:
-
- Compressible Flow;
- Computational Fluid Dynamics;
- Finite Element Method;
- Numerical Flow Visualization;
- Computational Grids;
- Conservation Laws;
- Euler Equations Of Motion;
- Rarefaction;
- Shock Tubes;
- Fluid Mechanics and Heat Transfer