An Implementation of Adaptive Mesh Refinement for Shallow Water Equations

TL;DR

This paper presents an implementation of adaptive mesh refinement algorithms for multilayer shallow water equations within the GeoClaw framework, enabling efficient high-resolution simulations of coastal regions.

Contribution

It extends existing adaptive mesh refinement techniques to multilayer shallow water models, improving computational efficiency for large-scale coastal simulations.

Findings

Enhanced computational efficiency for multilayer models

Successful implementation within GeoClaw framework

Potential for detailed coastal region analysis

Abstract

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