A three-dimensional modified finite volume technique for maxwell's equations

Niel K. Madsen; Richard W. Ziolkowski

doi:10.1080/02726349008908233

A three-dimensional modified finite volume technique for maxwell's equations

Niel K. Madsen, Richard W. Ziolkowski

Research output: Contribution to journal › Article › peer-review

116 Scopus citations

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	https://doi.org/10.1080/02726349008908233
State	Published - 1990
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Radiation
Electrical and Electronic Engineering

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title = "A three-dimensional modified finite volume technique for maxwell's equations",

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.",

author = "Madsen, {Niel K.} and Ziolkowski, {Richard W.}",

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T1 - A three-dimensional modified finite volume technique for maxwell's equations

AU - Madsen, Niel K.

AU - Ziolkowski, Richard W.

N1 - Funding Information: This work wa. performed under the auspicu of the U. S. Department d Energy by the Lawrence Livermore National Laboratory under contract W-7405-ENG-48.

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.

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