A general topology, Godunov method

Conference · Thu Jan 01 04:00:00 EST 1987

DOI:https://doi.org/10.1016/0010-4655(88)90024-0· OSTI ID:6077878

Addessio, F; Cline, M; Dukowicz, J

A numerical technique that utilizes a general topology mesh is described. The method employs the arbitrary Lagrangian-Eulerian procedure and explicit, finite-volume, Godunov numerics. Material interfaces are resolved to eliminate fictitious mixing and nonphysical shear impedance. Cell-centered variables, including velocity, are used to provide consistent control volumes for the advection of mass, momentum, and energy, and to allow arbitrary slip between material regions. The computational mesh is composed of arbitrary polygonal cells. The constraint of a fixed logical connectivity for the mesh is removed. Consequently, geometrical mesh limitations, which are responsible for inaccuracies and code failure during the evolution of region boundaries, are absent. Arbitrary boundaries can be resolved, and the mesh is capable of changing smoothly and rapidly from regions of high to low resolution. Lack of a coherent mesh orientation minimizes numerical anisotropy. A mesh rezoning approach, based on a dual triangulation and coupled with a global remapping algorithm, allows the mesh to evolve dynamically. 9 refs., 6 figs.

• Research Organization: Los Alamos National Lab., NM (USA)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 6077878
• Report Number(s): LA-UR-87-2958; CONF-8704168-5; ON: DE88000511
• Country of Publication: United States
• Language: English

Related Subjects

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99 GENERAL AND MISCELLANEOUS
990230* -- Mathematics & Mathematical Models-- (1987-1989)
BOUNDARY CONDITIONS
DEFORMATION
DIFFERENTIAL EQUATIONS
EQUATIONS
LAGRANGE EQUATIONS
MATERIALS
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICS
MESH GENERATION
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
TOPOLOGY