Cartesian-like grids using a novel grid-stitching algorithm for viscous flow computations

Journal of Aircraft

Volumn 44, Issue 5, 2007, Pages 1598-1609

  Mondal, Partha ^a,b   Munikrishna, N ^a,b   Balakrishnan, N ^a,b  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b Department of Aerospace Engineering ^*  (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; COMPUTATIONAL FLUID DYNAMICS; DATA REDUCTION; LAMINAR FLOW; PROBLEM SOLVING; VISCOUS FLOW;

CARTESIAN-LIKE GRIDS; CARTESIAN-MESH CALCULATIONS; LAMINAR FLOW COMPUTATIONS;

ALGORITHMS;

EID: 36348973074     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.27854     Document Type: Article

References (44)

1. Arpaci, V. S., Conduction Heat Transfer, Addison-Wesley, London, 1966, pp. 492-493.
2. Coirier, W. J., "An Adaptively-Refined, Cartesian, Cell-Based Scheme for the Euler and Navier-Stokes Equations," Ph.D. Thesis, Department of Aerospace Engineering, Univ. of Michigan, Ann Arbor, MI, Jan. 1994.
3. Zeeuw, D. D., and Powell, K. G., "An Adaptively Refined Cartesian Mesh Solver for the Euler Equations," Journal of Computational Physics, Vol. 104, No. 1, 1993, pp. 56-68.
4. Philippe, G., "An Implicit Upwind Finite Volume Method for Compressible Turbulent Flows on Unstructured Meshes," Ph.D. Thesis, Univ. of Liège, Liège, Wallonia, Belgium, Apr. 1999.
5. Clarke, D. K., Salas, M. D., and Hassan, H. A., "Euler Calculations for Multi Element Airfoils Using Cartesian Grids," AIAA Journal, Vol. 24, No. 3, 1986, pp. 353-358.
6. Coirier, W. J., and Powell, K. G., "Solution-Adaptive Cartesian Cell Approach for Viscous and Inviscid Flows," AIAA Journal, Vol. 34, No. 5, 1996, pp. 938-945.
7. Wang, Z. J., and Chen, R. F., "Anisotropic Cartesian Grid Method for Viscous Turbulent Flow," AIAA Paper 2000-0395, 2000.
8. Wang, Z. J., "A Quadtree-Based Adaptive Cartesian/Quad Grid Flow Solver for Navier-Stokes Equations," Computers and Fluids, Vol. 27, No. 4, 1998, pp. 529-549.
9. Frymier, P. D., Jr., Hassan, H. A., and Salas, M. D., "Navier-Stokes Calculations Using Cartesian Grids, 1 : Laminar Flows," AIAA Journal, Vol. 26, No. 10, 1988, pp. 1181-1188.
10. Fenno, C. C., Jr., Newman, P. A., and Hassan, H. A., "Unsteady Viscous-Inviscid Interaction Procedures for Transonic Airfoils Using Cartesian Grids," Journal of Aircraft, Vol. 26, No. 8, 1989, pp. 723-730.
11. Delanaye, Michel, Aftosmis, M. J., Berger, M. J., Liu, Y., and Pulliam, T. H., "Automatic Hybrid-Cartesian Grid Generation for High-Reynolds Number Flows Around Complex Geometries," AIAAPaper 99-0777, Jan. 1999.
12. Smith, R. J., and Leschziner, M. A., "Automatic Grid Generation for Complex Geometries," The Aeronautical Journal, Vol. 100, No. 991, Jan. 1996, pp. 7-14.
13. Mondai, P., "Cartesian-Like Grids Using a Novel Grid-Stitching Algorithm for Viscous Flow Computations," M.S. Thesis, Dept. of Aerospace Engineering, Indian Inst, of Science, Bangalore, India, Apr. 2005.
14. Mondai, P., Munikrishna, N., and Balakrishnan, N., "Computation of Viscous Compressible Flows Employing Cartesian-Like Grids," Proceedings of the 18th National Convention of Aerospace Engineers, IIT Kharagpur, India, 2004, pp. 140-146.
15. Mondai, P., Munikrishna, N., and Balakrishnan, N., "Viscous Flow Computations Using Cartesian-Like Grids," Proceedings of the 8th Annual AeSI CFD Symposium, CP25, National Aerospace Labs., Bangalore, India, 2005.
16. Morinishi, K., "A Gridless Type Solver for Parallel Simulation of Compressible Flow," Parallel Computational Fluid Dynamics, Development and Applications of Parallel Technology, Elsevier Science, New York, 1999.
17. Luo, H., Baum, J. D., and Lohner, R., "A Hybrid Cartesian Grid and Gridless Method for Compressible Flows," AIAA Paper 2005-0492, Jan. 2005.
18. Kirshman, D. J., and Liu, F., "A Gridless Boundary Condition Method for the Solution of the Euler Equations on Embedded Cartesian Meshes with Multigrid," Journal of Computational Physics, Vol. 201, No. 1, 2004, pp. 119-147.
19. Munikrishna, N., Karthikeyan, N., and Balakrishnan, N., "A Meshless Solver for Computing Viscous Flows on Cartesian-Like Grids," Computational Fluid Dynamics 2006 (to be published).
20. Ninawe, A., Munikrishna, N., and Balakrishnan, N., "Viscous Flow Computations Using A Meshless Solver, LSH)-U," Computational Fluid Dynamics 2004, edited by C. Groth and D. W. Zingg, Springer-Verlag, Berlin, 2004, pp. 509-514.
21. Ye, T., Mittal, R., Udaykumar, H. S., and Shyy, W., "An Accurate Cartesian Grid Method for Viscous Incompressible Flows with Complex Immersed Boundaries," Journal of Computational Physics, Vol. 156, No. 2, 1999, pp. 209-240.
22. Roma, A. M., Peskin, C.S., and Berger, M. J., "An Adaptive Version of the Immersed Boundary Method," Journal of Computational Physics, Vol. 153, No. 2, 1999, pp. 509-534.
23. Tseng, Y.-H. and Ferziger, J. H., "A Ghost-Cell Immersed Boundary Method for Flow in Complex Geometry," Journal of Computational Physics, Vol. 192, No. 2, 2003, pp. 593-623.
24. Majumdar, S., Iaccarino, G., and Durbin, P., "Navier Stokes Solvers Using Adaptive Boundary-Non-Conforming Cartesian Grids," Proceedings of the 6th Annual AeSI CFD Symposium, CP12, National Aerospace Labs., Bangalore, India, 2003.
25. Iaccarino, G., and Verzicco, R., "Immersed Boundary Technique for Turbulent Flow Simulations," Applied Mechanics Reviews, Vol. 56, No. 3, 2003, pp. 331-347.
26. De Tullio, M. D., De Palma, P., Iaccarino, G., Pascazio, G., and Napolitano, M., "Immersed Boundary Technique for Compressible Flow Simulations on Semi-Structured Grids," Computational Fluid Dynamics 2006 (to be published).
27. Sachdev, J. S., and Groth, C. P. T., "A Mesh Adjustment Scheme for Embedded Boundaries," Computational Fluid Dynamics 2004, edited by C. Groth and D. W. Zingg, Springer, Berlin, 2004, pp. 109-114.
28. Shende, N. and Balakrishnan, N., "New Migratory Memory Algorithm for Implicit Finite Volume Solvers," AIAA Journal, Vol. 42, No. 9, Sept. 2004, pp. 1863-1870.
29. Jawahar, P., and Kamath, H., "A High-Resolution Procedure for Euler and Navier-Stokes Computations on Unstructured Grids," Journal of Computational Physics, Vol. 164, No. 1, 2000, pp. 165-203.
30. Munikrishna, N., and Balakrishnan, N., "Computing Viscous Flows on Unstructured Meshes with Hanging Nodes," Proceedings of the 7th Annual AeSI CFD Symposium, CP13, National Aerospace Labs., Bangalore, India, 2004.
31. Holmes, D. G., and Connel, S. D., "Solution of the 2D Navier-Stokes Equations on Unstructured Adaptive Grids," AIAA Paper 89-1932-CP, 1989.
32. Venkatakrishnan, V., "Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters," Journal of Computational Physics, Vol. 118, No. 1, 1995, pp. 120-130.
33. Balakrishnan, N., and Fernandez, G., "Wall Boundary Conditions for Inviscid Compressible Flows on Unstructured Meshes," International Journal for Numerical Methods in Fluids, Vol. 28, No. 10, 1998, pp. 1481-1501.
34. Hirsh, C., Numerical Computation of Internal and External Flows, Vol. 2, Wiley, New York, 1988, pp. 346-347.
35. Milgram, M. S., "Does a Point Lie Inside a Polygon?," Journal of Computational Physics, Vol. 84, No. 1, 1989, pp. 134-144.
36. Van Leer, B., "Flux Vector Splitting for Euler Equations," Inst, for Computer Applications in Science and Engineering, Rept. 82-30, NASA Langley Research Center, Hampton, VA, 1982.
37. Roe, P. L., "Approximate Reimann Solvers, Parameter Vectors and Difference Schemes," Journal of Computational Physics, Vol. 43, No. 2, 1981, pp. 357-372.
38. Yoon, S., and Jameson, A., "Lower-Upper Symmetric-Gauss-Seidel Method for the Euler and Navier-Stokes Equations," AIAA Journal, Vol. 26, No. 9, Sept. 1988, pp. 1025-1026.
39. Van den Berg, B., "Boundary Layer Measurements on a Two-Dimensional Wing with Hap," Dutch National Aerospace Laboratory (NLR), Rept. TR-79009 U, 1979.
40. Venkatakrishnan, V., "Viscous Computations Using A Direct Solver," Computers and Fluids, Vol. 18, No. 2, 1990, pp. 191-204.
41. Fortunato, B., and Magi, V., "An Implicit Lambda Method for 2-D Viscous Compressible Flows," Proceedings of the 14th International Conference on Numerical Methods in Fluid Dynamics, Springer- Verlag, Berlin, 1994, pp. 259-264.
42. Cook, P. H., Mc Donald, M. A., Firmin, M. C. P., "Aerofoil RAE 2822-Pressure Distribution, and Boundary Layer, and Wake Measurement," AGARD AR-138, May 1979.
43. Anon., "Inviscid Flow Field Methods," Fluid Dynamics Panel Working Group, AGARD Advisory Rept. 211, July 1985.
44. Baldwin, B. S., and Lomax, H., "Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows," AIAA Paper 78-257, 1978.