Block mesh refinement for incompressible flows in curvilinear domains

Applied Mathematical Modelling

Volumn 31, Issue 10, 2007, Pages 2136-2148

  Georgantopoulou, Chr G ^a   Tsangaris, S ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Cartesian grid refinement; Incompressible flow; Navier Stokes

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; CONVERGENCE OF NUMERICAL METHODS; FLOW FIELDS; LAMINAR FLOW; MESH GENERATION; NAVIER STOKES EQUATIONS;

BLOCK MESH REFINEMENT; CARTESIAN GRID REFINEMENT; CURVILINEAR GEOMETRY APPROXIMATION;

INCOMPRESSIBLE FLOW;

APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; CONVERGENCE OF NUMERICAL METHODS; FLOW FIELDS; INCOMPRESSIBLE FLOW; LAMINAR FLOW; MESH GENERATION; NAVIER STOKES EQUATIONS;

EID: 34247248742     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2006.08.020     Document Type: Article

References (27)

1. Thompson J.F., Thames F.C., and Mastin C.W. Automatic numerical generation of body fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies. J. Comput. Phys. 15 (1974) 299-319
2. Baker J.F. Finite Element Computational Fluid Mechanics (1983), McGraw-Hill, New York
3. Clark D.K., Salas M.D., and Hassan H.A. Euler calculations for multielement airfoils using Cartesian grids. AIAA J. 24 (1986) 353-356
4. Falle S., and Giddings J. Body Capturing Using Adaptive Cartesian Grids. Numerical Methods in Fluid Dynamics 4 (1993), Clarendon press, Oxford pp. 337-343
5. Pember R.B., Bell J.B., Collela P., Cruthhfield W.Y., and Welcome M.L. An adaptive Cartesian grid method for unsteady compressible flow in irregular regions. J. Comput. Phys. 120 (1995) 278-304
6. Coirier W.J., and Powell K.G. Solution-adaptive Cartesian cell approach for viscous and inviscid flows. AIAA J. 34 (1996) 938-945
7. Coirier W.J., and Powell K.G. An accuracy assessment of Cartesian-mesh approaches for the Euler equations. J. Comput. Phys. 117 (1995) 121-131
8. R.J. Smith, L.J. Johnston, A novel approach to engineering computations for complex aerodynamic flows. In: Proceedings of the 4th International Conference on Numerical grid Generation in Computational Fluid Dynamics and related Fields, 1994, pp. 271-285.
9. M.J. Aftosmis, J.E. Melton, M.J. Bergerm, Adaption and surface modeling for Cartesian mesh methods. In: 12th AIAA Computational Fluid Dynamics Conference, 1995, San Diego, AIAA-95-1725-CP.
10. Almgren A.S., Bell J.B., Collela P., Howell L.H., and Welcome M.L. A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations. J. Comput. Phys. 142 (1998) 1-46
11. Martin D., and Collela P. A cell-centered adaptive projection method for the incompressible Euler equations. J. Comput. Phys. 163 (2000) 271-312
12. Howell L.H., and Bell J.B. An adaptive mesh projection method for viscous incompressible flow. SIAM J. Sci. Comput. 18 (1997) 996-1007
13. Wang Z.J. A quadtree-based adaptive Cartesian/quad grid flow solver for Navier-Stokes equation. Comput. Fluids 27 (1998) 529-549
14. Tuncer I.H. Two-dimensional unsteady Navier-Stokes solution method with moving overset grids. AIAA J. 35 (1997) 471-476
15. Agresar G., Linderman J.J., Tryggvason G., and Powell K.G. An adaptive, Cartesian, front-tracking method for the motion, deformation and adhesion of circulating cells. J. Comput. Phys. 143 (1998) 346-380
16. Udaykumar H.S., Kan H.C., Shyy W., and Tran-Son-Tray R. Multiphase dynamics in arbitrary geometries on fixed Cartesian grids. J. Comput. Phys. 137 (1997) 366-405
17. F. Deister, D. Rocher, E.H. Hirschel, F. Monnoyer, Adaptively refined Cartesian grid generation and Euler flow solutions for arbitrary geometries. In: Notes on numerical Fluid Dynamics, 1998, Vieweg, Braunschweig/Wiesbaden.
18. Chai J.C., Lee H.S., and Patakar S.V. Treatment of irregular geometries using a Cartesian coordinates finite-volume radiation heat transfer procedure. Numer. Heat Transfer 26 (1994) 179-197
19. Jesse J.P., Fiveland W.A., Howell L.H., Collela P., and Pember R.B. An adaptive mesh refinement algorithm for the radiative transport equation. J. Comput. Phys. 139 (1998) 380-398
20. Berger M.J., and Collela P. Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 83 (1989) 64-84
21. Young D.P., Melvin R.G., and Biterman. A locally refined rectangular grid finite element method: application to computational fluid dynamics and computational physics. J. Comput. Phys. 92 (1991) 1-66
22. Chr.G. Georgantopoulou, Th.J. Pappou, S.G. Tsaggaris, Cartesian grid generator for N-S numerical simulation of flow fields in curvilinear geometries. In: Proceedings of the 4th GRACM Congress on Comput. Mechanics, 2002, pp. 526-534.
23. Pappou Th., and Tsangaris S. Development of an artificial compressibility methodology using flux vector splitting. Int. J. Numer. Methods Fluid 25 (1997) 523-545
24. Steger L., and Kulter P. Implicit finite-difference procedures for the computation of vortex wakes. AIAA J. 15 (1977) 581-590
25. L. Thomas, R.W. Walters, Upwind relaxation algorithms for the Navier-Stokes equations, AIAA paper, 1999, 85-1501-CP.
26. Hartwich M., Hsu C.H., and Liu C.H. Vectorizable implicit algorithms for the flux-difference split, three-dimensional Navier-Stokes equations. J. Fluid Eng. 110 (1988) 297-305
27. Beam R.M., and Warming R.F. An implicit finite-difference algorithm for hyperbolic system of conservation-law form. Int. J. Comput. Phys. 22 (1976) 87-110