On the use of adaptive hierarchical meshes for numerical simulation of separated flows

International Journal for Numerical Methods in Fluids

Volumn 26, Issue 3, 1998, Pages 303-322

  Greaves, Deborah M ^a   Borthwick, Alistair G L ^b  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Adaptive remeshing; Hierarchical grids; Quadtrees; Separated flows

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; CYLINDERS (SHAPES); FINITE VOLUME METHOD; REYNOLDS NUMBER; TREES (MATHEMATICS);

ADAPTIVE REMESHING; HIERARCHICAL GRIDS; QUADTREES; SEPARATED FLOWS;

FLOW OF FLUIDS;

FLOW SEPARATION; MATHEMATICAL MODELING; REYNOLDS NUMBER;

FLUID FLOW; LOW; MATHEMATICAL MODELLING; REYNOLDS NUMBER; SEPARATED;

EID: 0032005696     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19980215)26:3<303::AID-FLD643>3.0.CO;2-Y     Document Type: Article

References (19)

1. H. Samet, The Design and Analysis of Spatial Data Structures, Addison-Wesley, Reading, MA, 1990.
2. H. Samet, Applications of Spatial Data Structures, Addison-Wesley, Reading, MA, 1990.
3. M. A. Yerry and M. S. Shephard, 'A modified quadtree approach to finite element mesh generation', IEEE Trans. Comput. Graphics Appl., CGA-3, 39-46 (1983).
4. L. Van Dommelen and E. A. Rundensteiner, 'Fast adaptive summation of point forces in the two-dimensional Poisson equation', J. Comput. Phys., 83, 126-147 (1989).
5. C. Gáspár and J. Józsa, A coupled Lagrangian particle tracking and quadtree-based adaptive multigrid method with application to shear layer evolution', Proc. XXIV IAHR Congr., Madrid, September 1991.
6. C. Gáspár and P. Simbierowicz, 'Difference schemes in tree-structured multigrid context', Proc. IX Int. Conf. on Computational Methods in Water Resources, Denver, CO, June 1992.
7. J. Józsa and C. Gáspár, 'Fast, adaptive approximation of wind-induced horizontal flow patterns in shallow lakes using quadtree-based multigrid method', Proc. IX Int. Conf. on Computational Methods in Water Resources, Denver, CO, June 1992.
8. C. Gáspár, J. Józsa and P. Simbierowicz, 'Lagrangian modelling of the convective diffusion problem using unstructured grids and multigrid technique', Proc. 1st Int. Conf. on Water Pollution (Modelling, Measuring and Prediction), Southampton, September 1991.
9. D. P. Young, R. G. Melvin, M. B. Bieterman, F. T. Johnson, S. S. Samant and J. E. Bussoletti, 'A locally refined rectangular grid finite element method: Application to computational fluid dynamics and computational physics', J. Comput. Phys. 92, 1-66 (1991).
10. D. de Zeeuw and K. G. Powell, 'An adaptively refined Cartesian mesh solver for the Euler equations', J. Comput. Phys. 104, 56-68 (1993).
11. A. Evans, M. J. Marchant, J. Szmelter and N. P. Weatherill, 'Mesh adaptivity with the quadtree method', Proc. 3rd Int. Conf. on Numerical Grid Generation in Computational Fluid Dynamics and Related Fields, Barcelona, Spain, 3-7 June, 1991.
12. S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC, 1980.
13. M. Perić, R. Kessler and G. Scheuerer, 'Comparison of finite-volume numerical methods with staggered and collocated grids', Comput. Fluids, 16, 389-403 (1988).
14. M. Hortmann, M. Perić and G. Scheuerer, 'Finite volume multigrid prediction of laminar natural convection: bench-mark solutions', Int. j. numer. meth. fluids, 11, 189-207 (1990).
15. D. M. Greaves, 'Numerical modelling of laminar separated flows and inviscid steep waves using adaptive hierarchical meshes', D. Phil. Thesis, Oxford University, 1995.
16. 4', J. Fluid Mech., 101, 583-607 (1980).
17. R. Franke, W. Rodi and B. Schönung, 'Numerical calculation of laminar vortex shedding flow past cylinders', J. Wind Engng. Ind. Aerodyn., 35, 235-257 (1990).
18. A. Okajina, 'Strouhal numbers of rectangular cylinders', J. Fluid Mech. 121, 379-398 (1982).
19. R. W. Davis and E. F. Moore, 'A numerical study of vortex shedding from rectangles', J. Fluid Mech., 116, 475-506 (1982).