Abstract: | Ultra-parallel flow simulations on hundreds of thousands of processors require new multi-level domain decomposition methods. Here we present such a new
two-level method that has features both of discontinuous and continuous Galerkin
formulations. Specifically, at the coarse level the domain is subdivided into several
big patches and within each patch a spectral element discretization (fine level) is employed. New interface conditions for the Navier-Stokes equations are developed to
connect the patches, relaxing the C0continuity and minimizing data transfer at the
patch interface. We perform several 3D flow simulations of a benchmark problem and
of arterial flows to evaluate the performance of the new method and investigate its
accuracy. |