Upwind finite element solution for saturated travelling magnetic field problems.

Odamura, Motomi

doi:10.1541/ieejpes1972.105.613

Cited by 6 publications

(1 citation statement)

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“…Recently some upwind methods developed for advcctive-diffusi tivc trailsport equations have been S -Y H A H \ ANT) I -C SAHONN4DIERT applied to electromagnetic held problems and successful results have been obtained.'. 6 In this paper an upwiiid finite clement method for sinusoidally excited electromagnetic field equations is presented.…”

Section: Introductionmentioning

confidence: 99%

An ‘upwind’ finite element method for electromagnetic field problems in moving media

Hahn

Bigeon

Sabonnadière

1987

Numerical Meth Engineering

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Time periodic finite element solutions for sinusoidally excited electroniagnetic field problems in moving media are presented. Solutions by the Galerkin method contain spurious oscillations when the grid Peclet number is more than one. To suppress these osillations an upwind finite element method using two different time periodic test functions is introduced. One is multiplied to second and first order space derivative terms and the other to the time derivative term. Test functions are obtained from trial functions by adding or subtracting quadratic bias functions with appropriate scaling factors. Phasc diffcrcnces are considered between trial functions and bias functions. For simple interpretations of thc phase differences complex scaling factors are used. The proposed rnethod is developed to give nodally exact solutions for uniform grid spacing in one dimensional problems. Based on the one dimensional results a two dimensional upwinding scheme is also derived.

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Section: Introductionmentioning

confidence: 99%