Abstract

Time-domain electromagnetic simulations employing unstructured tetrahedral meshes offer smooth boundary approximations and graded meshes for multiscale problems. However, multiscale effects may arise not only as a consequence of fine geometry but also from CAD and mesh generation artifacts, and it is critical that the simulation algorithms can be employed in their presence without unduly compromising their computational performance. The ability of the unstructured transmission line modeling (UTLM) algorithm to coalesce small computational cells into larger entities is a key enabler for the approach. This paper demonstrates the use of complexity reduction techniques to both notably reduce the preprocessing time required for this and, as a consequence, substantially extend its capability.

Highlights

  • Electromagnetic simulations using numerical techniques are an established tool for many technological disciplines and, notwithstanding the inexorable increase in computational power, the demands for assessment of ever larger and more complex problems motivates their continued development, [14].Multiscale problems are challenging and the need to mesh down to the scale of the smallest feature can consume substantial memory, and more critically for time-stepping algorithms, require the use of an impractically small value of time step in the simulations, often for reasons of algorithmic stability

  • Multiscale geometries are present in many fields of study and here we just highlight Electromagnetic Compatibility (EMC) studies in the aerospace domain

  • There is a further source of multiscale effects which is often overlooked but which can be devastating for the ability to perform an electromagnetic simulation; CAD and meshing artifices

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Summary

INTRODUCTION

Electromagnetic simulations using numerical techniques are an established tool for many technological disciplines and, notwithstanding the inexorable increase in computational power, the demands for assessment of ever larger and more complex problems motivates their continued development, [14]. It is commented that in the event that a number of the resonances do have a physical significance, there is no reason why selected LC circuits cannot be implemented in their complete form This model represents the physical expectation that the quasi-electrostatic behavior of the cluster maps to a capacitive network with an inductive correction which increases as the volume of space the cluster encompasses increases. The eigenvalue physically corresponds to the total value of inductance that each particular quasi-magnetostatic solution sees when incident on the cluster This is partly provided by the link line impedances and the remainder is provided by a short circuit stub. The smaller values of correspond to high order spatial fields and in the context of cell clustering, may again be regarded as modeling mesh noise and may be legitimately approximated by setting = 1 which has the added attraction of removing a number of stubs from the algorithm. The previous section has reduced the degrees of freedom of the constituent sub-clusters to the number of exterior sample points, removing all their internal detail which is a substantial gain

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