Two-Dimensional RBF-ENO Method on Unstructured Grids

Cache Based Multigrid on Unstructured Two Dimensional Grids

1. Abstract. High speed cache memory is commonly used to address the disparity between the speed of a computer's central processing unit and the speed of a computer's main memory. It is advantageous to maximize the amount of time that data spends in cache. Tiling is a software technique which is often used to do just this. Tiling is not able, however, to handle dynamically changing data structu...

Multi-Dimensional Spectral Difference Method for Unstructured Grids

Yen Liu NASA Ames Research Center, Moffett Field, CA 94035 Marcel Vinokur Eloret Corp, Sunnyvale, CA 94086 and Z. J. Wang Iowa State University, Ames, IA 50011 A new, high-order, conservative, and efficient method for conservation laws on unstructured grids is developed. It combines the best features of structured and unstructured grid methods to attain computational efficiency and geometric fl...

A Two-dimensional Magnetohydrodynamics Scheme for General Unstructured Grids

We report a new finite-difference scheme for two-dimensional magnetohydrodynamics (MHD) simulations, with and without rotation, in unstructured grids with quadrilateral cells. The new scheme is implemented within the code VULCAN/2D, which already includes radiation-hydrodynamics in various approximations and can be used with arbitrarily moving meshes (ALE). The MHD scheme, which consists of cel...

Transonic Turbulent Flow Computations on Unstructured Triangular Grids

Three-Dimensional Adaptive Central Schemes on Unstructured Staggered Grids

We present a new formulation of three-dimensional central finite volume methods on unstructured staggered grids for solving systems of hyperbolic equations. Based on the Lax-Friedrichs and Nessyahu-Tadmor one-dimensional central finite difference schemes, the numerical methods we propose involve a staggered grids in order to avoid solving Riemann problems at cell interfaces. The cells are baryc...