Algebraic limitations on two-dimensional hydrodynamics simulations
Abstract
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.
- Authors:
-
- Los Alamos National Lab., NM (United States)
- Publication Date:
- OSTI Identifier:
- 274223
- DOE Contract Number:
- W-7405-ENG-36
- Resource Type:
- Journal Article
- Journal Name:
- Journal of Computational Physics
- Additional Journal Information:
- Journal Volume: 124; Journal Issue: 1; Other Information: PBD: 1 Mar 1996
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; 66 PHYSICS; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; GAS FLOW; MESH GENERATION; HYDRODYNAMICS; TWO-DIMENSIONAL CALCULATIONS
Citation Formats
Whalen, P P. Algebraic limitations on two-dimensional hydrodynamics simulations. United States: N. p., 1996.
Web. doi:10.1006/jcph.1996.0043.
Whalen, P P. Algebraic limitations on two-dimensional hydrodynamics simulations. United States. https://doi.org/10.1006/jcph.1996.0043
Whalen, P P. 1996.
"Algebraic limitations on two-dimensional hydrodynamics simulations". United States. https://doi.org/10.1006/jcph.1996.0043.
@article{osti_274223,
title = {Algebraic limitations on two-dimensional hydrodynamics simulations},
author = {Whalen, P P},
abstractNote = {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.},
doi = {10.1006/jcph.1996.0043},
url = {https://www.osti.gov/biblio/274223},
journal = {Journal of Computational Physics},
number = 1,
volume = 124,
place = {United States},
year = {Fri Mar 01 00:00:00 EST 1996},
month = {Fri Mar 01 00:00:00 EST 1996}
}