Dispersion and stability of two electromagnetic solvers for triangular meshes
Time domain electromagnetic solvers on nonorthogonal grids is an area of current research interest. This interest stems from the need to simulate complex geometries in the fields of both plasma physics and electromagnetic scattering. Some of the approaches being investigated include curvilinear coordinates, finite volumes, and finite volumes, and finite elements on meshes of quadrilaterals or triangles, both structured and unstructured. Most workers have concentrated on algorithm development, with test problems serving as benchmarks. Very little analytic work has been reported concerning stability and accuracy of these methods, even on regular meshes. This paper summarizes an investigation of a limited set of schemes for solving Maxwell's equations for TE polarization on a two dimensional mesh of triangles. Two particular realizations are the weighted residual finite element algorithm of Ambrosiano et al., and differencing based on Delaunay-Voronoi meshes. A dispersion relation is derived for the case of a regular skewed mesh, which includes equilaterals as a special case. As a complement, numerical dispersions tests have been performed for grids generated by randomly perturbing a regular grid. 3 refs., 3 figs.
- Research Organization:
- Lawrence Livermore National Lab., CA (United States)
- Sponsoring Organization:
- USDOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 5363406
- Report Number(s):
- UCRL-JC-107685; CONF-9109108-7; ON: DE91016607
- Resource Relation:
- Conference: 14. conference on numerical simulation of plasmas, Annapolis, MD (United States), 4-6 Sep 1991
- Country of Publication:
- United States
- Language:
- English
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GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
MAXWELL EQUATIONS
FINITE ELEMENT METHOD
DISPERSION RELATIONS
MAGNETIC FIELDS
MESH GENERATION
PLASMA SIMULATION
DIFFERENTIAL EQUATIONS
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NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
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700103 - Fusion Energy- Plasma Research- Kinetics
990200 - Mathematics & Computers