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- W93890131 abstract "Many problems in physics necessitate the solution of equations which develop sharp gradients, such as shocks. These include atmospheric shocks near the earth's surface, plasma physics phenomena, both in the laboratory and in space, combustion, petroleum reservoir modelling, and light propagation in glass fibers. To deal with this situation, methods are needed which place a high density of nodes in the neighborhoods of the steep gradients. One of the most promising of these methods is the moving finite element method which was first invented by Miller. This approach, in which the nodes are moved so as to minimize the residual error, has been used successfully by Gelinas, Doss, and co-workers to study several different one-dimensional problems and shows great promise as well in dealing with two dimensions. A paper describing the one-dimensional results has already been published, and a paper describing the two-dimensional results is in preparation. The remainder of this report describes the two-dimensional results. A discussion of possible future work is also included. The principal problems which have been examined include: (1) a gas dynamics problem with a reflecting planar shock, (2) Burger's equation in two dimensions, (3) the Stefan problem, and (4) a gas dynamics problem withmore » a shock incident on a wedge boundary.« less" @default.
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- W93890131 date "1985-10-01" @default.
- W93890131 modified "2023-09-26" @default.
- W93890131 title "Moving finite element codes in one and two dimensions. Final report" @default.
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