摘要
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 C0 continuity 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.
基金
This work was supported by the National Science Foundation CI-TEAM grant.Com-putations were performed on CRAY XT3 of Pittsburgh Supercomputing Center with the help of David O’Neal and on the Ranger supercomputer of Texas Advanced Computing Center with the help of John Cozes.