Finding strongly connected components in parallel in particle transport sweeps
Proceedings of the thirteenth annual ACM symposium on Parallel algorithms and architectures
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Discrete ordinates methods are commonly used to simulate radiation transport for fire or weapons modeling. The computation proceeds by sweeping the flux across a grid. A particular cell can''t be computed until all the cells immediately upwind of it are finished. If the directed dependence graph for the grid cells contains a cycle then sweeping methods will deadlock. This can happen in unstructured grids and time stepped problems where the grid is allowed to deform. In this paper we present a parallel algorithm to detect cycles in the dependence graphs present in these grids as well as an implementation and experimental results on shared and distributed memory machines.