Using a curvilinear grid to construct symmetry-preserving discretizations for Lagrangian gas dynamics

Journal Article · Mon Mar 01 04:00:00 EST 1999 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1998.6161· OSTI ID:334091

Margolin, L; Shashkov, M ^[1]

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1. 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, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 149; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 GENERAL AND MISCELLANEOUS
FINITE DIFFERENCE METHOD
FLUID MECHANICS
LAGRANGIAN FUNCTION
MESH GENERATION
SYMMETRY