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We demonstrate the implementation of a hybrid OpenMP and MPI parallelizationof a conservative spectral method for the Boltzmann equation originallydeveloped by Gamba and Tharkabhushaman. We perform a scaling analysis todemonstrate that the problem is well suited to parallelization, and find thatthe computational time scales linearly with the number of compute nodes on highperformance computing resources. The original method has also been improved tohigher order in space and time and is implemented on non-uniform grids inphysical space. We test this scheme for an example problem in which a kineticboundary layer generates a shock wave for large space and long times. This isthe first time that the fully nonlinear Boltzmann collision operator has beenused to compute this problem.

A hybrid OpenMP and MPI implementation of a conservative spectral method for the Boltzmann equation