Adaptive quadtree model of shallow-flow hydrodynamics

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 index...

Full description

Saved in:
Bibliographic Details
Published in:Journal of hydraulic research 2001-01, Vol.39 (4), p.413-424
Main Authors: Borthwick, A. G. L., Cruz Leon, S., Jozsa, J.
Format: Article
Language:English
Subjects:
Bathymetry
Boundary layers
Computational fluid dynamics
Computer simulation
Diffusion
Discharge (fluid mechanics)
Earth sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
Engineering geology
Exact sciences and technology
Finite difference method
Hydrology
Hydrology. Hydrogeology
Mathematical models
Topology
Trees (mathematics)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0022-1686
1814-2079
DOI:10.1080/00221680109499845