High Order Schemes for Adaptive Mesh Refinement (Jude Worthy, UNC-Chapel Hill)

Abstract: We look at combining two powerful techniques for large scale simulations, namely adaptive mesh refinement (AMR) and high order numerical schemes. These are developed with the particular goal of large oceanographic simulations. Compact schemes as well as hybrid compact/ENO/WENO schemes are considered. A general method for solving multidimensional nonlinear problems is given for the finite volume formulation. Basic test cases demonstrate the capability of these methods.

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This is an abstract of a talk to be presented at the 2004 SEAMS Workshop in Charleston, SC. For more information, visit the workshop's homepage at math.cofc.edu/SEAMS.