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In dealing with thermal transport in composite systems, high contrastmaterials pose a special problem for numerical simulation: the time scale orstep size in the high conductivity material must be much smaller than in thelow conductivity material. In the limit that the higher conductivity inclusioncan be treated as having an infinite conductivity, we show how a standardrandom walk algorithm can be alterred to improve speed while still preservingthe second law of thermodynamics. We demonstrate the principle in a 1D system,and then apply it to 3D composites with spherical inclusions.

Efficient Random Walk Algorithm for Simulating Thermal Transport in Composites With High Conductivity Contrast