A Time-Domain, Finite-Volume Treatment for the Maxwell Equations

Shankar, Vijaya; Mohammadian, A.H.; Hall, William J.

doi:10.1080/02726349008908232

Cited by 153 publications

(63 citation statements)

References 8 publications

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“…The present paper considers a representative FVTD structure with a cell-centered, collocated formulation: Both the electric and magnetic fields are sampled in the barycenters of the elementary cells. Furthermore, most implementations are based on characteristics theory [2] and consider a flux-splitting treatment, which separates outgoing (+) and incoming (-) fluxes at each interface between two cells [3] …”

Section: The Finite-volume Time-domain Methodsmentioning

confidence: 99%

“…The continuity equations for the tangential electric fields at material interfaces are satisfied, by taking into account the appropriate material properties in the computation of the incoming and outgoing fluxes [2]. The same applies to the boundary condition at the surface of conductors.…”

Section: A Space Discretization Boundary Conditionsmentioning

confidence: 99%

“…The Finite-Volume Time-Domain (FVTD) method has been introduced for electromagnetic applications at the very beginning of the 90's [1], [2]. The FVTD method can be considered in-between FDTD and the FEM applied in time domain.…”

Section: Introductionmentioning

confidence: 99%

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Developments of finite-volume techniques for electromagnetic modeling in unstructured meshes

Baumann

Bonnet

Vahldieck

2006

2006 17th International Zurich Symposium on Electromagnetic Compatibility

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Section: The Finite-volume Time-domain Methodsmentioning

confidence: 99%

Section: A Space Discretization Boundary Conditionsmentioning

confidence: 99%

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Developments of finite-volume techniques for electromagnetic modeling in unstructured meshes

Baumann

Bonnet

Vahldieck

2006

2006 17th International Zurich Symposium on Electromagnetic Compatibility

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“…The FVTD method has been introduced at the end of the 1990's [9], [10]. It never became a mainstream method but is representative of time-domain methods applied in unstructured meshes.…”

Section: B Fvtdmentioning

confidence: 99%

Time-domain simulations of a 31-antenna array for breast cancer imaging

Klemm

Baumann

Craddock

2011

2011 IEEE International Symposium on Antennas and Propagation (APSURSI)

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Abstract-In this paper we discuss challenges related with timedomain simulations of a complete microwave radar imaging system for breast cancer detection. Two different numerical methods are considered to address this demanding electromagnetic problem featuring 31 ultra-wideband antennas. The first method is the Finite Integration Technique (FIT) applied in a regular grid and implemented in a commercial solver, whereas the second method is an in-house developed FiniteVolume Time-Domain (FVTD) code applied in a tetrahedral mesh. Our work focuses on the fundamental differences between the two approaches for the comprehensive full-wave modeling of the considered problem. The emphasis of the comparison is placed on the computational cost, which reveals the strengths and limitations of both methods for the problem considered.

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“…The FVTD method has been introduced at the end of the 80's [1] as a numerical technique to solve Maxwell's equations in an unstructured mesh. The method is based on integrations of a conservative form of Maxwell's curl equations over elementary cells (finite volumes).…”

Section: A) the Fvtd Methodsmentioning

confidence: 99%

FVTD Simulations of Archimedean Spiral Antennas on Thin Substrates in Planar and Conformal Configurations

Baumann

Vahldieck

IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, 2005.

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This paper demonstrates the applicability of the Finite-Volume Time-Domain (FVTD) method to the simulation of two-arm substrate-supported Archimedean spiral antennas. The FVTD method uses an unstructured tetrahedral mesh to model precisely the fine spiral structures and the thin underlying substrate. Time-domain simulation results are presented to demonstrate the substrate influence on the current distribution on the metallic spiral arms. Application of the FVTD method to conformal spiral geometries is suggested in two further examples.

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A Time-Domain, Finite-Volume Treatment for the Maxwell Equations

Cited by 153 publications

References 8 publications

Developments of finite-volume techniques for electromagnetic modeling in unstructured meshes

Developments of finite-volume techniques for electromagnetic modeling in unstructured meshes

Time-domain simulations of a 31-antenna array for breast cancer imaging

FVTD Simulations of Archimedean Spiral Antennas on Thin Substrates in Planar and Conformal Configurations

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