Adaptive quadtree model of shallow-flow hydrodynamics

AGL Borthwick*, SC Leon, J Jozsa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Natural shallow-flow domains have irregular boundaries which can strongly influence the interior flow field. Here, the nonlinear shallow water equations are solved on adaptive quadtree grids that can approximate any two-dimensional boundary topology and are easy to enrich or coarsen. A special indexing system matches the quadtree structure to conventional finite volume notation. Grid adaptation is controlled by a cell circulation parameter. Simulations of standard test flows are in close agreement with analytical and other numerical data. The sample application of wind-induced circulation in Lake Balaton, Hungary, demonstrates the ability of the model to deal with a complicated shallow-flow geometry.

Original languageEnglish
Pages (from-to)413-424
Number of pages12
JournalJournal of Hydraulic Research
Issue number4
Publication statusPublished - 2001



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