Algebraic limitations on two-dimensional hydrodynamics simulations
- Los Alamos National Lab., NM (United States)
Algebraic limitations imposed by the use of connected straightline segments to define meshes for hydrodynamics simulations in two-dimensional cylindrical geometries are shown. It is shown that in the simplest smooth isentropic flow of the spherical expansion of a gas with point symmetry, commonly, and currently, used finite difference, finite volume, or finite element staggered grid hydrodynamics equations cannot simultaneously preserve energy, entropy, and sphericity on an equal-angle R - {Theta} mesh. It is further shown why finite difference codes tend to preserve sphericity and entropy, while finite element codes tend to preserve sphericity and energy. Exact difference representations of interface (cell face) pressures and work terms and of the elements of the strain rate tensor in a cell are shown. 16 refs., 5 figs.
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 274223
- Journal Information:
- Journal of Computational Physics, Vol. 124, Issue 1; Other Information: PBD: 1 Mar 1996
- Country of Publication:
- United States
- Language:
- English
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