An Implementation of Adaptive Mesh Refinement for Shallow Water\n Equations

2018/03/04 by Avi Schwarzschild, Schwarzschild, Avi, Kyle T. Mandli +1
Earth and Planetary Sciences · Environmental Science · #Coastal and Marine Dynamics #FOS: Mathematics #Flood Risk Assessment and Management #Geological Modeling and Analysis #Geological formations and processes #Geophysics and Gravity Measurements #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1803.01450

openalex publication_date 2018/03/04 · openalex created_date 2022/08/28 · openalex updated_date 2026/07/28

Abstract

An implementation of adaptive mesh refinement algorithms is presented for use\nwith multilayer shallow water equations. Currently, adaptive mesh refinement is\nimplemented with a single layer shallow water model in the GeoClaw framework.\nThis implementation, also in the GeoClaw framework, is for multilayer models,\nwhich have been implemented in GeoClaw previously. Until now, however, these\nmodels were too computationally expensive to run on large domains while\nresolving detail in coastal regions.\n

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