Using a curvilinear grid to construct symmetry-preserving discretizations for Lagrangian gas dynamics
- Los Alamos National Lab., NM (United States)
The goal of this paper is to construct discretizations for the equations of Lagrangian gas dynamics that preserve plane, cylindrical, and spherical symmetry in the solution of the original differential equations. The new method uses a curvilinear grid that is reconstructed from a given logically rectangular distribution of nodes. The sides of the cells of the reconstructed grid can be segments of straight lines or arcs of local circles. The procedure is exact for straight lines and circles; that is, it reproduces rectangular and polar grids exactly. The authors use the method of support operators to construct a conservative finite-difference method that they demonstrate will preserve spatial symmetries for certain choices of the initial grid. They also introduce a curvilinear version of artificial edge viscosity that also preserves symmetry. They present numerical examples to demonstrate their theoretical considerations and the robustness of the new method.
- OSTI ID:
- 334091
- Journal Information:
- Journal of Computational Physics, Vol. 149, Issue 2; Other Information: PBD: 1 Mar 1999
- Country of Publication:
- United States
- Language:
- English
Similar Records
Energy conservative SBP discretizations of the acoustic wave equation in covariant form on staggered curvilinear grids
A compatible, energy and symmetry preserving Lagrangian hydrodynamics algorithm in three-dimensional Cartesian geometry