Two-dimensional implicit time dependent calculations for incompressible flows on adaptive unstructured meshes

15th AIAA Computational Fluid Dynamics Conference

Volumn , Issue , 2001, Pages

  Lin, P ^a   Martinelli, L ^a   Baker, T J ^a   Jameson, A ^b  

^a Princeton University   (United States)

^b Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCULAR CYLINDERS; COARSENING; MESH GENERATION; REYNOLDS NUMBER;

ADAPTIVE UNSTRUCTURED MESHES; ARTIFICIAL COMPRESSIBILITY; IMPORTANT FEATURES; LAMINAR VISCOUS FLOW; LOCAL MESH REFINEMENT; LOW REYNOLDS NUMBER FLOW; STEADY-STATE PROBLEMS; TIME-DEPENDENT PROBLEM;

COMPUTATIONAL FLUID DYNAMICS;

EID: 85088718853     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2001-2655     Document Type: Conference Paper

References (42)

1. J.J. Alonso, L. Martinelli, and A. Jameson. Multigrid unsteady Navier-Stokes calculations with aeroelastic applications. AIAA Paper 95-0048, 33rd Aerospace Sciences Meeting, Reno, NV, January 1995.
2. T.J. Baker. Automatic mesh generation for complex three-dimensional regions using a constrained Delaunay triangulation. Engineering with Computers, 5:pp. 161-175, 1989.
3. T.J. Baker. Mesh adaptation strategies for problems in fluid dynamics. Finite Elements in Analysis and Design, 25:pp. 243-273, 1997.
4. T.J. Baker. Mesh modification for solution adaptation and time evolving domains. Whistler, British Columbia, Canada, 2000. 7th International Conference on Numerical Grid Generation in Computational Field Simulations.
5. T.J. Barth. Aspects of unstructured grids and finitevolume solvers for the Euler and Navier-Stokes equations. AGARD Report 787 Special Course on Unstructured Grid Methods for Advection Dominated Flows, pages 6-1-6-61, 1992.
6. J.D. Baum and L. Lohner. Numerical simulation of shock interactions with a modern main battlefield tank. AIAA Paper 91-1666, 22nd AIAA Fluid Dynamics, Plasma Dynamics and Lasers Conference, Honolulu HI, 1991.
7. A. Belov, A. Jameson, and L. Martinelli. Threedimensional unsteady incompressible flow calculations using multigrid. AIAA Paper 97-0443, 35th Aerospace Sciences Meeting, Reno, NV, January 1997.
8. R. Biswas and R. Strawn. A new procedure for dynamic adaption of three-dimensional unstructured grids. Applied Numerical Mathematics, 13:pp. 473-452, 1994.
9. A. Bowyer. Computing Dirichlet tessellations. The Computer Journal, 24(2):pp. 162-166, 1981.
10. A.J. Chorin. A numerical method for solving incompressible viscous flow problems. Journal of Computational Physics, 2:pp. 12-26, 1967.
11. S.D. Connell and D.G. Holmes. A 3 D unstructured adaptive multigrid scheme for the Euler equation. AIAA Paper 93-3339- CP, llth AIAA Computational Fluid Dynamics Conference, Orlando FL, 1993.
12. H.L. De Cougny and M.S. Shephard. Parallel refinement and coarsening of tetrahedral meshes. International Journal/ or Numerical Methods in Engineering, 46:pp. 1101-1125, 1999.
13. M. Delanaye and J.A. Essers. An accurate finite volume scheme for Euler and Navier-Stokes equations on unstructured adaptive grids. AIAA Paper 95-1710-CP, 12th AIAA Computational Fluid Dynamics Conference, San Diego CA, 1995.
14. J.J. Dreyer. Finite volume solutions to the steady incompressible Euler equations on unstructured triangular meshes. Master's thesis, Princeton University, Princeton, NJ, June 1990.
15. M. Hammache and M. Gharib. An experimental study of the parallel and oblique vortex shedding from circular cylinders. Journal of Fluid Mechanics, 232:pp. 567-590, 1991.
16. O. Hassan, L. Bayne, K. Morgan, and N. Weatherill. An adaptive unstructured mesh method for transient flows involving moving boundaries. Technical report, Eccomas 98, September 1998.
17. R. Henderson and D. Meiron. Dynamic refinement algorithms for spectral element methods. AIAA Paper 97- 1855, 13th AIAA Computational Fluid Dynamics Conference, Snowmass CO, 1997.
18. R.D. Henderson. Unstructured Spectral Element Methods: Parallel Algorithms and Simulations. PhD thesis, Princeton University, Department of Mechanical and Aerospace Engineering, June 1994.
19. A. Jameson. Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings. AIAA Paper 91-1596, 10th AIAA Computational Fluid Dynamics Conference, Honolulu, HI, June 1991.
20. A. Jameson, T.J. Baker, and N.P. Weatherill. Calculation of inviscid transonic flow over a complete aircraft. AIAA Paper 86-0103, 24th AIAA Aerospace Sciences Meeting, Reno NV, January 1986.
21. Y. Kallinderis and P. Vijayan. Adaptive refinementcoarsening scheme for three-dimensional unstructured meshes. AIAA Journal, 31(8), 1993. AIAA 2001-2655
22. P. T. Lin. Implicit time dependent calculations for compressible and incompressible flows on unstructured meshes. Master's thesis, Princeton University, Princeton, NJ, November 1994.
23. B.-H. Liou and D. Balsara. An implicit unstructured adaptive-grid approach for compressible flows with moving boundaries. AIAA Paper 2001-0440, 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, January 2001.
24. B.-H. Liou, L. Martinelli, T.J. Baker, and A. Jameson. Calculation of plunging breakers with a fully-implicit adaptive-grid method. AIAA Paper 98-2968, 29th AIAA Fluid Dynamics Conference, Albuquerque, NM, 1998.
25. R. Lohner. An adaptive finite element scheme for transient problems in CFD. Computer Methods in Applied Mechanics and Engineering, 61:pp. 323-338, 1987.
26. D.L. Marcum and N.P. Weatherill. Unstructured grid generation using iterative point insertion and local reconnection. AIAA Journal, 33(9):pp. 1619-1625, September 1995.
27. D.J. Mavriplis. Multigrid solution of the 2-D Euler equations on unstructured triangular meshes. AIAA Journal, 26(7):pp. 824-831, July 1988.
28. D.J. Mavriplis. Turbulent flow calculations using unstructured and adaptive meshes. International Journal for Numerical Methods in Fluids, 13:pp. 1131-1152, 1991.
29. D.J. Mavriplis, A. Jameson, and L. Martinelli. Multigrid solution of the Navier-Stokes equations on triangular meshes. AIAA Paper 89-0120, 27th AIAA Aerospace Sciences Meeting, Reno NV, 1989.
30. N.D. Melson, M.D. Sanetrik, and H.L. Atkins. Timeaccurate Navier-Stokes calculations with multigrid acceleration. In Proceedings of the 6th Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, 1993.
31. C.L. Merkle and M. Athavale. Time-accurate unsteady incompressible flow algorithms based on artificial compressibility. AIAA Paper 87-1137, 8th AIAA Computational Fluid Dynamics Conference, Honolulu, HI, June 1987.
32. T.J. Mitty, A. Jameson, and T.J. Baker. Solution of three-dimensional supersonic flowfields via adapting unstructured meshes. Computers Fluids, 22(2/3):pp. 271-283, 1993.
33. R.J. Peyret. Unsteady evolution of a horizontal jet in a stratified fluid. Journal of Fluid Mechanics, 78:49-63, 1976.
34. S. Rebay. Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer-Watson algorithm. Journal of Computational Physics, 106:pp. 125-138, 1993.
35. A. Rizzi and Lars-Erik Eriksson. Computation of inviscid incompressible flow with rotation. J. Fluid Mech., 153:pp. 275-312, 1985.
36. S.E. Rogers and D. Kwak. Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations. AIAA Journal, 28(2):pp. 253-262, February 1990.
37. J.C. Vassberg. A fast, implicit unstructured-mesh Euler method. AIAA Paper 92-2693, 10th AIAA Applied Aerodynamics Conference, Palo Alto, CA, June 1992.
38. V. Venkatakrishnan and D. Mavriplis. Implicit method for the computation of unsteady flows on unstructured grids. Journal of Computational Physics, 127:pp. 380-397, 1996.
39. C.H.K. Williamson. Defining a universal and continuous Strouhal-Reynolds number relationship of the laminar vortex shedding of a circular cylinder. Physics of Fluids, 31:pp. 2742-2744, 1988.
40. C.H.K. Williamson. Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. Journal of Fluid Mechanics, 206:pp. 579-627, 1989.
41. C.H.K. Williamson and G. Brown. A series in I/√Re to represent the Strouhal-Reynolds number relationship of the cylinder wake. Journal of Fluids and Structures, 12: pp. 1073-1085, 1998.
42. C.H.K. Williamson and A. Roshko. Measurements of base pressure in the wake of a cylinder at low Reynolds numbers. Zeitschrift fur Flugwissenschaften und Weltraumforschung, 14:pp. 38-46, 1990.