WENOCLAW: A High Order Wave Propagation Method

David Ketcheson, University of Washington

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Wave propagation methods for hyperbolic PDEs have been developed for the solution of systems with spatially varying flux function and other systems not in conservation form. These methods are generally second order accurate. Higher order methods such as WENO methods are generally applicable only to systems in conservation form. A high order accurate method for solving general hyperbolic systems is presented, combining the ideas of wave propagation with WENO reconstruction and Runge-Kutta time integration. These methods have been implemented in the WENOCLAW code. Numerical examples demonstrate the effectiveness of the method in simulating high-frequency wave propagation in inhomogeneous media with rapidly varying parameters.

Abstract Author(s): David I. Ketcheson