Stability of the DSI algorithm on a chevron grid
Abstract
The development of time domain electromagnetic solvers for nonorthogonal grids is an area of current research interest, stemming from the need to simulate complex geometries in a wide variety of applications. A notable example is the discrete surface integral (DSI) algorithm which solves the Maxwell curl equations in the time domain using a 3d, unstructured, mixed-polyhedral grid. Although this method is an extension of the time proven Yee algorithm, little is known about the numerical properties of the method when discretized on these more general grids. Dispersion relations for the DSI algorithm can be derived using 2d idealized grids, such as the skewed mesh analysis done by Ray and Rambo for both triangles and quadrilaterals. The present work applies the same techniques used for the skewed mesh analysis to another idealized, but nonorthogonal, 2d grid.
- Authors:
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE, Washington, DC (United States)
- OSTI Identifier:
- 76221
- Report Number(s):
- UCRL-JC-121089; CONF-950612-1
ON: DE95013790; TRN: 95:016476
- DOE Contract Number:
- W-7405-ENG-48
- Resource Type:
- Conference
- Resource Relation:
- Conference: 22. international conference on plasma science, Madison, WI (United States), 5-8 Jun 1995; Other Information: PBD: Jun 1995
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; PLASMA INSTABILITY; MESH GENERATION; ALGORITHMS; INTEGRAL EQUATIONS; MAXWELL EQUATIONS; OSCILLATIONS
Citation Formats
Brandon, S T, and Rambo, P W. Stability of the DSI algorithm on a chevron grid. United States: N. p., 1995.
Web.
Brandon, S T, & Rambo, P W. Stability of the DSI algorithm on a chevron grid. United States.
Brandon, S T, and Rambo, P W. 1995.
"Stability of the DSI algorithm on a chevron grid". United States. https://www.osti.gov/servlets/purl/76221.
@article{osti_76221,
title = {Stability of the DSI algorithm on a chevron grid},
author = {Brandon, S T and Rambo, P W},
abstractNote = {The development of time domain electromagnetic solvers for nonorthogonal grids is an area of current research interest, stemming from the need to simulate complex geometries in a wide variety of applications. A notable example is the discrete surface integral (DSI) algorithm which solves the Maxwell curl equations in the time domain using a 3d, unstructured, mixed-polyhedral grid. Although this method is an extension of the time proven Yee algorithm, little is known about the numerical properties of the method when discretized on these more general grids. Dispersion relations for the DSI algorithm can be derived using 2d idealized grids, such as the skewed mesh analysis done by Ray and Rambo for both triangles and quadrilaterals. The present work applies the same techniques used for the skewed mesh analysis to another idealized, but nonorthogonal, 2d grid.},
doi = {},
url = {https://www.osti.gov/biblio/76221},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Jun 01 00:00:00 EDT 1995},
month = {Thu Jun 01 00:00:00 EDT 1995}
}