Next: Outline
Up: Introduction
Previous: Introduction
The goals of this thesis are:
- To show how polymorphic elements can be built and interfaced to enhance efficiency of the unstructured spectral element method (USEME).
- To demonstrate how Object-Oriented Programming can be used with minimal overhead to provide a flexible toolkit for the polymorphic USEME.
- To provide theoretical and numerical evidence that USEME retains good approximation properties even when very distorted meshes are used.
- To implement a semi-implicit Galerkin USEME scheme for the equations of incompressible Navier-Stokes and magnetohydrodynamics (MHD) in the computer code .
- To investigate the effectiveness of USEME applied to moving domain problems using the ALE formulation.
- To implement a fully explicit discontinuous Galerkin method (DGM) USEME scheme for the equations of compressible Navier-Stokes and magnetohydrodynamics in the computer code .
- To demonstrate accuracy for the above methods.
T. Warburton
10/24/1998