Adaptive quadtree model of shallow-flow hydrodynamics

A. G L Borthwick, S. Cruz León, J. Józsa

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

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
JournalJ HYDRAUL RES
Volume39
Issue number4
Publication statusPublished - 2001

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Lakes
Flow fields
Hydrodynamics
hydrodynamics
Topology
Geometry
Water
shallow-water equation
flow field
topology
geometry
lake
simulation
test
parameter

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Water Science and Technology

Cite this

Borthwick, A. G. L., Cruz León, S., & Józsa, J. (2001). Adaptive quadtree model of shallow-flow hydrodynamics. J HYDRAUL RES, 39(4), 413-424.

Adaptive quadtree model of shallow-flow hydrodynamics. / Borthwick, A. G L; Cruz León, S.; Józsa, J.

In: J HYDRAUL RES, Vol. 39, No. 4, 2001, p. 413-424.

Research output: Contribution to journalArticle

Borthwick, AGL, Cruz León, S & Józsa, J 2001, 'Adaptive quadtree model of shallow-flow hydrodynamics', J HYDRAUL RES, vol. 39, no. 4, pp. 413-424.
Borthwick AGL, Cruz León S, Józsa J. Adaptive quadtree model of shallow-flow hydrodynamics. J HYDRAUL RES. 2001;39(4):413-424.
Borthwick, A. G L ; Cruz León, S. ; Józsa, J. / Adaptive quadtree model of shallow-flow hydrodynamics. In: J HYDRAUL RES. 2001 ; Vol. 39, No. 4. pp. 413-424.
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