Two compact cell-vertex methods for computational electromagnetics
Abstract
The present study represents the initial application of two cell-vertex numerical integration methods to the time-dependent Maxwell's curl equations. The central difference algorithms use Runge-Kutta and Lax-Wendroff integration procedures and operate on general curvilinear meshes in physical space. Both methods were successfully applied to a well-known two-dimensional circular-cylinder-scattering problem on a body-fitted grid. The discrete solutions of the total and scattered electric field revealed that with adequate resolution, both methods produce comparably accurate results. The five-stage modified Runge-Kutta scheme maintained approximately a 4-percent speed advantage over the Lax-Wendroff algorithm. A series of successfully refined meshes revealed that the discrete solutions from both conservative numerical methods remain divergence-free to at least the third order. Overall, the Lax-Wendroff solutions appeared smoother since the higher-order terms which stabilize the scheme rely on second-order spatial derivatives and take the form of dissipation.
- Publication:
-
Space Manufacturing 8 - Energy and Materials from Space
- Pub Date:
- June 1991
- Bibcode:
- 1991aiaa.confR....A
- Keywords:
-
- Computational Grids;
- Computerized Simulation;
- Electromagnetism;
- Maxwell Equation;
- Electromagnetic Scattering;
- Finite Volume Method;
- Radio Frequency Heating;
- Runge-Kutta Method;
- Wave Scattering;
- Plasma Physics