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The GeoClaw software for depth-averaged flows with adaptive refinement
Authors:Marsha J BergerDavid L George  Randall J LeVequeKyle T Mandli
Institution:Courant Institute of Mathematical Sciences, 251 Mercer St., New York, USA Cascades Volcano Observatory, US Geological Survey, 1300 SE Cardinal Ct. #100, Vancouver, WA 98683, USA Department of Applied Mathematics, University of Washington, Box 352420, Seattle, WA 98195-2420, USA
Abstract:Many geophysical flow or wave propagation problems can be modeled with two-dimensional depth-averaged equations, of which the shallow water equations are the simplest example. We describe the GeoClaw software that has been designed to solve problems of this nature, consisting of open source Fortran programs together with Python tools for the user interface and flow visualization. This software uses high-resolution shock-capturing finite volume methods on logically rectangular grids, including latitude-longitude grids on the sphere. Dry states are handled automatically to model inundation. The code incorporates adaptive mesh refinement to allow the efficient solution of large-scale geophysical problems. Examples are given illustrating its use for modeling tsunamis and dam-break flooding problems. Documentation and download information is available at www.clawpack.org/geoclaw.
Keywords:Numerical flow modeling  Hyperbolic equations  Finite volume methods  Depth-averaged equations  Adaptive refinement
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