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Jump conditions for Maxwell equations and their consequences
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Figures

Image of FIG. 1.

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FIG. 1.

Sliding contact showing two bodies “A” and “B” having a relative motion, separated by a shear-layer. Integration contours are shown.

Image of FIG. 2.

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FIG. 2.

Time evolution of the configuration of the sliding contact.

Image of FIG. 3.

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FIG. 3.

Computational model of the armature and rails. Only a quarter of the model need be meshed for finite element analysis exploiting two orthogonal planes of symmetry.

Image of FIG. 4.

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FIG. 4.

The MCL velocity data shows better agreement with eq. (5) .

Image of FIG. 5.

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FIG. 5.

The SCL velocity data shows that non-zero jump in E′ diverges from the test data progressively as the velocity increases.

Image of FIG. 6.

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FIG. 6.

The contour plot shows magnetic field magnitude and the vector plot shows the current density distribution for no-jump in E′ (eq. (5) ) in the upper plot and with a jump in E′ (eq. (3) ) in the lower plot.

Image of FIG. 7.

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FIG. 7.

The contour plot shows current density magnitude and the vector plot shows the magnetic field for no-jump in E′ (eq. (5) ) in the upper plot and with a jump in E′ (eq. (3) ) in the lower plot.

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/content/aip/journal/adva/3/1/10.1063/1.4789794
2013-01-28
2014-04-17

Abstract

We derived the jump conditions for Faraday's induction law at the interface of two contacting bodies in both Eulerian and Lagrangian descriptions. An algorithm to implement the jump conditions in the potential formulation of Maxwell equation is presented. Calculations show that the use of the correct jump conditions leads to good agreement with experimental data, whereas the use of incorrect jump conditions can lead to severe inaccuracies in the computational results. Our derivation resolves the jump condition discrepancy found in the literature and is validated with experimental results.

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Scitation: Jump conditions for Maxwell equations and their consequences
http://aip.metastore.ingenta.com/content/aip/journal/adva/3/1/10.1063/1.4789794
10.1063/1.4789794
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