Moving Finite-Element method: an introduction to its theory and application to conservation-law equations
Technical Report
·
OSTI ID:6408190
This report introduces engineers to the specific adaptive mesh method known as the Moving Finite Element (MFE) method. An elementary introduction to some basic mathematical concepts is given in support of the MFE method. The mathematics and physics of basic conservation laws are discussed. The basic discretization procedure of MFE is developed around a one-dimensional scalar partial differential equation. The necessary numerical methods of implicit, stiff ordinary differential equations are introduced. Two nonlinear wave equation examples are given: Burgers' equation (scalar) and the Euler equations (system) of gas dynamics. Brief conclusions are drawn.
- Research Organization:
- EG and G Idaho, Inc., Idaho Falls (USA)
- DOE Contract Number:
- AC07-76ID01570
- OSTI ID:
- 6408190
- Report Number(s):
- EGG-IS-6188; ON: DE83009986
- Country of Publication:
- United States
- Language:
- English
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