2004International Journal of Applied Electromagnetics and MechanicsRequires access

Conformal FIT formulation for simulations of electro-quasistatic fields

Ute Schreiber, Markus Clemens, Ursula van Rienen

Open publisher page 5 citations

Abstract

The Finite Integration Technique (FIT) is a discretization scheme for Maxwell's equations, where commonly orthogonal tensor product grids are preferred for efficiency reasons. However, orthogonal grids have difficulties to model curved shape boundaries. For the simulation of electro-quasistatic(EQS) fields with the Finite Integration Technique (FIT) a new technique is introduced, which allows an improved geometric modeling of curved boundaries while maintaining orthogonal tensor product grids. The reduction of the geometrical errror results in the improvement of the solution accuracy. Numerical results for a test problem show the improvement in accuracy with the new approach.

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What this paper is about

The Finite Integration Technique (FIT) is a discretization scheme for Maxwell's equations, where commonly orthogonal tensor product grids are preferred for efficiency reasons. However, orthogonal grids have difficulties to model curved shape boundaries. For the simulation of electro-quasistatic(EQS) fields with the Finite Integration Technique (FIT) a new technique is introduced, which allows an improved geometric modeling of curved boundaries while maintaining orthogonal tensor product grids. The reduction of the geometrical errror results in the improvement of the solution accuracy. Numerical results for a test problem show the improvement in accuracy with the new approach.

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Available abstract

The Finite Integration Technique (FIT) is a discretization scheme for Maxwell's equations, where commonly orthogonal tensor product grids are preferred for efficiency reasons. However, orthogonal grids have difficulties to model curved shape boundaries. For the simulation of electro-quasistatic(EQS) fields with the Finite Integration Technique (FIT) a new technique is introduced, which allows an improved geometric modeling of curved boundaries while maintaining orthogonal tensor product grids. The reduction of the geometrical errror results in the improvement of the solution accuracy. Numerical results for a test problem show the improvement in accuracy with the new approach.

Key concepts: Quasistatic process, Conformal map, Physics, Computer science, Mathematics, Statistical physics, Mathematical analysis, Thermodynamics

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