Domain decomposition strategies for the two-dimensional Wigner Monte Carlo Method

Abstract

A domain decomposition approach for the parallelization of the Wigner Monte Carlo method allows the huge memory requirements to be distributed amongst many computational units, thereby making large multi-dimensional simulations feasible. Two domain decomposition techniques—a uniform slab and uniform block decomposition—are compared and the design and implementation of the block decomposition approach, using the message passing interface, is discussed. The parallel performance of the two approaches is evaluated by simulating a representative physical problem. Our results show that the presumably inferior slab decomposition method is in fact superior to the block decomposition approach, due to the additional overhead incurred by the block decomposition method to set up its communication layer.

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Acknowledgments

The computational results presented have been achieved using the Vienna Scientific Cluster (VSC).

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Correspondence to Josef Weinbub.

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Weinbub, J., Ellinghaus, P. & Nedjalkov, M. Domain decomposition strategies for the two-dimensional Wigner Monte Carlo Method. J Comput Electron 14, 922–929 (2015). https://doi.org/10.1007/s10825-015-0730-0

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Keywords

  • Wigner
  • Monte Carlo
  • Domain decomposition
  • Message passing interface