A Newton-Raphson pseudo-solid domain mapping technique for free and moving boundary problems: A finite element implementation
- Sandia National Laboratories, Albuquerque, NM (United States)
An implicit, pseudo-solid domain mapping technique is described that facilitates finite element analysis of free and moving boundary problems. The technique is based on an implicit, full-Newton strategy, free of restrictions on mesh structure; this leads to many advantages over existing domain mapping techniques. The fully coupled approach using Newton`s method is particularly effective for problems with strong coupling between the internal bulk physics and the governing physics at unknown free boundary locations. It is also useful when the distinguishing conditions which constrain the free boundary shape provide only an implicit dependence on the boundary location. Unstructured meshes allow for efficient resolution of internal and boundary layers and other regions of strong local variations in the solution and they also reduce the amount of user interaction required to define a problem since the meshes may be generated automatically. The technique is readily applied to steady or transient problems in complex geometries of two and three dimension. Examples are shown that include free and moving boundary problems from solidification and capillary hydrodynamics. 48 refs., 10 figs.
- OSTI ID:
- 377017
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 125; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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