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Titolo:
The shallow flow equations solved on adaptive quadtree grids
Autore:
Borthwick, AGL; Leon, SC; Jozsa, J;
Indirizzi:
Univ Oxford, Dept Engn Sci, Oxford OX1 3PJ, England Univ Oxford Oxford England OX1 3PJ ept Engn Sci, Oxford OX1 3PJ, England Tech Univ Budapest, Dept Water Resources Engn, Budapest, Hungary Tech UnivBudapest Budapest Hungary r Resources Engn, Budapest, Hungary
Titolo Testata:
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
fascicolo: 6, volume: 37, anno: 2001,
pagine: 691 - 719
SICI:
0271-2091(20011130)37:6<691:TSFESO>2.0.ZU;2-A
Fonte:
ISI
Lingua:
ENG
Soggetto:
WATER EQUATIONS; NUMERICAL-SIMULATION; MODEL; MESHES;
Keywords:
computational hydraulics; quadtrees; shallow-flow hydrodynamics;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
38
Recensione:
Indirizzi per estratti:
Indirizzo: Borthwick, AGL Univ Oxford, Dept Engn Sci, Parks Rd, Oxford OX1 3PJ, England Univ Oxford Parks Rd Oxford England OX1 3PJ 1 3PJ, England
Citazione:
A.G.L. Borthwick et al., "The shallow flow equations solved on adaptive quadtree grids", INT J NUM F, 37(6), 2001, pp. 691-719

Abstract

This paper describes an adaptive quadtree grid-based solver of the depth-averaged shallow water equations. The model is designed to approximate flowsin complicated large-scale shallow domains while focusing on important smaller-scale localized flow features. Quadtree grids are created automatically by recursive subdivision of a rectangle about discretized boundary, bathymetric or flow-related seeding points, It can be fitted in a fractal-like sense by local grid refinement to any boundary, however distorted, provided absolute convergence to the boundary is not required and a low level of stepped boundary can be tolerated. Grid information is stored as a tree data structure, with a novel indexing system used to link information on the quadtree to a finite volume discretization of the governing equations. As the flow field develops, the grids may be adapted using a parameter based on vorticity and grid cell size. The numerical model is validated using standard benchmark tests, including seiches, Coriolis-induced set-up, jet-forced flow in a circular reservoir, and wetting and drying. Wind-induced flow in theNichupte Lagoon. Mexico, provides an illustrative example of an application to flow in extremely complicated multi-connected regions. Copyright (C) 2001 John Wiley & Sons, Ltd.

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Documento generato il 12/07/20 alle ore 09:45:53