Julien Montagnier, Anne Cadiou, Marc Buffat and Lionel Le Penven Towards petascale spectral simulations for transition analysis in wall bounded flow International Journal for Numerical Methods in Fluids 72
An efficient parallel spectral method based on an original hybrid MPI/OpenMP strategy is described in this paper. Good scalability and very fast wall-clock times per iteration are obtained. Very large simulations are therefore accessible while keeping the attractive features of spectral methods - accuracy, exponential convergence, computational efficiency, conservative properties. This is illustrated by a direct numerical simulation of the transition and interaction of the boundary layers developing from the entrance section of a plane channel.
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