A fast adaptive quadtree scheme for a two-layer shallow water model

Wei Koon Lee, Alistair G L Borthwick, Paul Taylor

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

This paper presents a dynamically adaptive quadtree grid generation system for the solution of a two-dimensional two-layer shallow water model. Roe-type two-layer shallow water solvers require numerical approximation of the system eigenvalues as well as numerical balancing, which increase computational cost considerably when a regular grid is used. In order to improve computational efficiency, we consider a dynamically adaptive quadtree grid generation system capable of increasing local resolution where high gradients occur in the physical flow variables. Test results show that satisfactory convergence can be obtained using the present scheme with the adaptive grid generator at a fraction of the cost incurred by a regular grid.

Original languageEnglish
Pages (from-to)4848-4870
Number of pages23
JournalJournal of Computational Physics
Volume230
Issue number12
DOIs
Publication statusPublished - 1 Jun 2011
Externally publishedYes

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