J. A. Escobar-Vargas

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Two commonly used types of high-order-accuracy element-based schemes, collocation-based spectral multidomain penalty methods (SMPM) and nodal discontinuous Galerkin methods (DGM), are compared in the framework of the inviscid shallow water equations. Differences and similarities in formulation are identified, with the primary difference being the(More)
We outline the basic features of a spectral multidomain penalty method (SMPM)-based solver for the pressure Poisson equation (PPE) with Neumann boundary conditions, as encountered in the time-discretization of the incompressible Navier-Stokes equations. One one hand, the SMPM discretization enables robust under-resolved simulations without sacrificing high(More)
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