The shallow flow equations solved on adaptive quadtree grids

International Journal for Numerical Methods in Fluids

Volumn 37, Issue 6, 2001, Pages 691-719

  Borthwick, A G L ^a   Cruz Leon S ^b   Jozsa J ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

Computational hydraulics; Quadtrees; Swallow flow hydrodynamics

Indexed keywords

BENCHMARKING; DRYING; NUMERICAL METHODS; WETTING; WIND EFFECTS;

QUADTREE GRIDS;

FLUIDS;

COMPUTATIONAL FLUID DYNAMICS; GRID; HYDRODYNAMICS; SHALLOW WATER;

EID: 0035976675     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.192     Document Type: Article

References (38)

1. A semi-implicit Lagrangian scheme for 3D shallow water flow with a two-layer turbulence model
2. Computational flow modelling in coastal and estuarine waters using irregular grid schemes
3. Two-dimensional nearly-horizontal flow models
4. Coastal flood simulation in stretched coordinates
5. Solving the shallow water equations with an orthogonal coordinate transformation
6. Modelling sediment fluxes in estuarine waters using curvilinear coordinate system
7. River and reservoir flow modelling using the transformed shallow water equations
8. Depth-averaged hydrodynamic model in curvilinear collocated grid
9. Reservoir flow prediction by contravariant shallow water equations
10. Shallow flow modelling using curvilinear depth-averaged stream function and vorticity transport equations
11. The effects of grid adaptation on tidal propagation in a boundary-fitted coordinate system
12. Irregular grid finite-difference techniques: Simulations of oscillations in shallow circular basins
13. Some exact solutions to the non-linear shallow-water wave equations
14. Irregular-grid finite-difference simulation of Lake Geneva surge
15. Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes
16. Analysis of finite elements and finite differences for shallow water equations
17. Shallow water modelling in spherical coordinates: Equation formulation, numerical implementation, and application
18. Shallow lake modelling using quadtree-based grids
19. Neighbour finding techniques for images represented by quadtrees
20. Robust, geometrically based, automatic two-dimensional grid generation
21. Quadtree/octree meshing with adaptive analysis
22. Fast, adaptive summation of point forces in the two-dimensional poisson equation
23. On the use of adaptive hierarchical meshes for numerical simulation of separated flows
24. Lagrangian modelling of the convective-diffusion problem using unstructured grids and multigrid technique
25. Fast adaptive approximation of wind-induced horizontal flow patterns in shallow lakes using quadtree-based multigrid method
26. Elimination of adaptive grid interface errors in the discrete cell centred pressure equation
27. An introduction to nearly-horizontal flows. Chapter 2
28. A robust upwind discretisation method for advection, diffusion and source terms
29. Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems
30. Numerical simulation of flooding and drying in a depth-averaged tidal flow model
31. An improved representation of flooding and drying and wind stress effects in a two-dimensional tidal numerical model
32. Application of the series truncation method to two-dimensional internal flows