Abstract
A modified finite volume method for solving Maxwell's equations in the time-domain is presented. This method, which allows the use of general nonorthogonal mixed-polyhedral grids, is a direct generalisation of the canonical staggered-grid finite difference method. Employing mixed polyhedral cells, (hexahedral, tetrahedral, etc.) this method allows more accurate modeling of non-rectangular structures. The traditional “stair-stepped” boundary approximations associated with the orthogonal grid based finite difference methods ate avoided. Numerical results demonstrating the accuracy of this new method are presented.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 147-161 |
| Number of pages | 15 |
| Journal | Electromagnetics |
| Volume | 10 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 1990 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Radiation
- Electronic, Optical and Magnetic Materials
Cite this
A three-dimensional modified finite volume technique for maxwell's equations. / Madsen, Niel K.; Ziolkowski, Richard W.
In: Electromagnetics, Vol. 10, No. 1-2, 1990, p. 147-161.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A three-dimensional modified finite volume technique for maxwell's equations
AU - Madsen, Niel K.
AU - Ziolkowski, Richard W
PY - 1990
Y1 - 1990
N2 - A modified finite volume method for solving Maxwell's equations in the time-domain is presented. This method, which allows the use of general nonorthogonal mixed-polyhedral grids, is a direct generalisation of the canonical staggered-grid finite difference method. Employing mixed polyhedral cells, (hexahedral, tetrahedral, etc.) this method allows more accurate modeling of non-rectangular structures. The traditional “stair-stepped” boundary approximations associated with the orthogonal grid based finite difference methods ate avoided. Numerical results demonstrating the accuracy of this new method are presented.
AB - A modified finite volume method for solving Maxwell's equations in the time-domain is presented. This method, which allows the use of general nonorthogonal mixed-polyhedral grids, is a direct generalisation of the canonical staggered-grid finite difference method. Employing mixed polyhedral cells, (hexahedral, tetrahedral, etc.) this method allows more accurate modeling of non-rectangular structures. The traditional “stair-stepped” boundary approximations associated with the orthogonal grid based finite difference methods ate avoided. Numerical results demonstrating the accuracy of this new method are presented.
UR - http://www.scopus.com/inward/record.url?scp=84950425970&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84950425970&partnerID=8YFLogxK
U2 - 10.1080/02726349008908233
DO - 10.1080/02726349008908233
M3 - Article
AN - SCOPUS:84950425970
VL - 10
SP - 147
EP - 161
JO - Electromagnetics
JF - Electromagnetics
SN - 0272-6343
IS - 1-2
ER -