A general topology, Godunov method
Abstract
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.
- Authors:
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- OSTI Identifier:
- 6077878
- Report Number(s):
- LA-UR-87-2958; CONF-8704168-5
Journal ID: ISSN 0010-4655; ON: DE88000511
- DOE Contract Number:
- W-7405-ENG-36
- Resource Type:
- Conference
- Resource Relation:
- Journal Volume: 48; Journal Issue: 1; Conference: Workshop on particle methods in fluid dynamics and plasma physics, Los Alamos, NM, USA, 13 Apr 1987; Other Information: Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; MATERIALS; TOPOLOGY; BOUNDARY CONDITIONS; DEFORMATION; LAGRANGE EQUATIONS; MATHEMATICAL MANIFOLDS; MATHEMATICAL MODELS; MESH GENERATION; NUMERICAL SOLUTION; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; 990230* - Mathematics & Mathematical Models- (1987-1989); 700209 - Fusion Power Plant Technology- Component Development & Materials Testing
Citation Formats
Addessio, F, Cline, M, and Dukowicz, J. A general topology, Godunov method. United States: N. p., 1987.
Web. doi:10.1016/0010-4655(88)90024-0.
Addessio, F, Cline, M, & Dukowicz, J. A general topology, Godunov method. United States. https://doi.org/10.1016/0010-4655(88)90024-0
Addessio, F, Cline, M, and Dukowicz, J. 1987.
"A general topology, Godunov method". United States. https://doi.org/10.1016/0010-4655(88)90024-0. https://www.osti.gov/servlets/purl/6077878.
@article{osti_6077878,
title = {A general topology, Godunov method},
author = {Addessio, F and Cline, M and Dukowicz, J},
abstractNote = {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.},
doi = {10.1016/0010-4655(88)90024-0},
url = {https://www.osti.gov/biblio/6077878},
journal = {},
issn = {0010-4655},
number = 1,
volume = 48,
place = {United States},
year = {Thu Jan 01 00:00:00 EST 1987},
month = {Thu Jan 01 00:00:00 EST 1987}
}