Conformal FIT formulation for simulations of electro-quasistatic fields
Ute Schreiber, Markus Clemens, Ursula van Rienen
Abstract
Ute Schreiber, Markus Clemens, Ursula van Rienen
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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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