Solution-adaptive Cartesian cell approach for viscous and inviscid flows

AIAA Journal

Volumn 34, Issue 5, 1996, Pages 938-945

  Coirier, William J ^a   Powell, Kenneth G ^b,c  

^a NASA GLENN RESEARCH CENTER   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

^c AIAA ^*

Author keywords

[No Author keywords available]

Indexed keywords

EULER FLOW; NAVIER-STOKES EQUATIONS; VISCOUS FLOW;

EID: 0029656933     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.13171     Document Type: Article

References (42)

1. Pirzadeh, S., "Recent Progress in Unstructured Grid Generation," AIAA Paper 92-0445, Jan. 1992.
2. Mavripilis, D. J., "An Advancing Front Delaunay Triangulation Algorithm Designed for Robustness," Inst. for Computer Applications in Science and Engineering, ICASE Rept. 92-49, Oct. 1992.
3. Barth, T. J., "Steiner Triangulation for Isotropic and Stretched Elements," AIAA Paper 90-0013, Jan. 1990.
4. Jorgenson, P. C. E., "An Implicit Numerical Scheme for the Simulation of Internal Viscous Flows on Unstructured Grids," Ph.D. Thesis, Dept. of Mechanical Engineering, Iowa State Univ., Ames, IA, 1993.
5. Anon., "Special Course on Unstructured Grid Methods for Advection Dominated Flows," AGARD-R-787, 1992.
6. Venkatakrishnan, V., "A Perspective on Unstructured Flow Solvers," AIAA Paper 95-0667, Jan. 1995.
7. Berger, M. J., and Colella, P., "Local Adaptive Mesh Refinement for Shock Hydrodynamics," Journal of Computational Physics, Vol. 82, 1989, pp. 64-84.
8. Berger, M. J., "Adaptive Mesh Refinement for Hyperbolic Partial Differential Equations," Journal of Computational Physics, Vol. 53, 1984, pp. 484-512.
9. Quirk, J. J., "An Adaptive Grid Algorithm for Computational Shock Hydrodynamics," Ph.D. Thesis, College of Aeronautics, Cranfield Inst. of Technology, 1991.
10. Quirk, J. J., "An Alternative to Unstructured Grids for Computing Gas Dynamic Flows Around Arbitrarily Complex Two-Dimensional Bodies," Inst. for Computer Applications in Science and Engineering, ICASE Rept. 92-7, Feb. 1992.
11. Bayyuk, S. A., Powell, K. G., and van Leer, B., "An Algorithm For the Simulation of 2-D Unsteady Inviscid Flows Around Arbitrarily Moving and Deforming Bodies of Arbitrary Geometry," AIAA Paper 93-3391, July 1993.
12. Chiang, Y. L., "Simulation of Unsteady Inviscid Flow on an Adaptively Refined Cartesian Grid," Ph.D. Thesis, Dept. of Aerospace Engineering, Univ. of Michigan, Ann Arbor, MI, 1992.
13. Pember, R., Bell, J., Colella, P., Crutchfield, W., and Welcome, M., "Adaptive Cartesian Grid Methods for Representing Geometry in Inviscid Compressible Flow," AIAA Paper 93-3385, July 1993.
14. Clarke, D. K., Salas, M. D., and Hassan, H. A., "Euler Calculations for Multielement Airfoils Using Cartesian Grids," AIAA Journal, Vol. 24, No. 3, 1986, pp. 353-358.
15. Berger, M. J., and LeVeque, R. J., "An Adaptive Cartesian Mesh Algorithm for the Euler Equations in Arbitrary Geometries," AIAA Paper 89-1930, 1989.
16. Berger, M. J., and LeVeque, R. J., "A Rotated Difference Scheme for Cartesian Grids in Complex Geometries," Computing Systems in Engineering, Vol. 1, 1990, pp. 305-311.
17. DeZeeuw, D., and Powell, K. G., "An Adaptively Refined Cartesian Mesh Solver for the Euler Equations," Journal of Computational Physics, Vol. 104, 1993, pp. 56-58.
18. DeZeeuw, D., and Powell, K. G., "Euler Calculations of Axisymmetric Under-Expanded Jets by an Adaptive-Refinement Method," AIAA Paper 92-0321, Jan. 1992.
19. Gooch, C., and Oksuzoglu, H., "Extension of State-Vector Splitting to the Navier-Stokes Equations," AIAA Paper 93-3374, July 1993.
20. Melton, J., Enomoto, P., and Berger, M., "Three-Dimensional Automatic Cartesian Grid Generation for Euler Flows," AIAA Paper 93-3386, July 1993.
21. Young, D. P., Melvin, R. G., Bieterman, M. B., and Bussoletti, J. E., "A Locally Refined Rectangular Grid Finite Element Method: Application to Computational Fluid Dynamics and Computational Physics," Journal of Computational Physics, Vol. 92, 1991, pp. 1-66.
22. Melton, J. E., Berger, M. J., Aftosmis, M. A., and Wong, M. D., "3D Applications of a Cartesian Grid Euler Method," AIAA Paper 95-0853, Jan. 1995.
23. Tidd, D. M., Strash, D. J., Epstein, B., Luntz, A., Nachshon, A., and Rubin, T., "Multigrid Euler Calculations over Complete Aircraft," Journal of Aircraft, Vol. 29, No. 6, 1992, pp. 1080-1085.
24. Welterlen, T. J., and Karman, S. L., "Rapid Assessment of F-16 Store Trajectories Using Unstructured CFD," AIAA Paper 95-0354, Jan. 1995.
25. Melton, J. E., Pandya, S. A., and Steger, J. L., "3D Euler Flow Solutions Using Unstructured Cartesian and Prismatic Grids," AIAA Paper 93-0331, Jan. 1993.
26. Karman, S. L., "SPLITFLOW: A 3D Unstructured Cartesian/Prismatic Grid CFD Code for Complex Geometries," AIAA Paper 95-0343, Jan. 1995.
27. Frymier, P. D., Hassan, H. A., and Salas, M. D., "Navier-Stokes Calculations Using Cartesian Grids: I. Laminar Rows," AIAA Journal, Vol. 26, No. 10, 1988, pp. 1181-1188.
28. Sutherland, I. E., and Hodgman, G. W., "Reentrant Polygon Clipping," Communications of the ACM, Graphics and Image Processing, Vol. 17, No. 1, 1974, pp. 32-42.
29. Coirier, W. J., "An Adaptively-Refined, Cartesian, Cell-Based Scheme for the Euler and Navier-Stokes Equations," Ph.D. Thesis, Dept. of Aerospace Engineering, Univ. of Michigan, Ann Arbor, MI; also NASA TM 106754, Jan. 1994.
30. DeZeeuw, D. L., "A Quadtree-Based Adaptively-Refined Cartesian-Grid Algorithm for Solution of the Euler Equations," Ph.D. Thesis, Dept. of Aerospace Engineering, Univ. of Michigan, Ann Arbor, MI, 1993.
31. DeZeeuw, D., and Powell, K. G., "An Adaptively-Refined Cartesian Mesh Solver for the Euler Equations," AIAA Paper 91-1542, June 1991.
32. Warren, G., Anderson, W. K., Thomas, J., and Krist, S., "Grid Convergence for Adaptive Methods," AIAA Paper 91-1592, June 1991.
33. Barth, T. J., and Frederickson, P. O., "Higher-Order Solution of the Euler Equations on Unstructured Grids Using Quadratic Reconstruction," AIAA Paper 90-0013, Jan. 1990.
34. Lion, M. S., and Steffen, C. J., Jr., "A New Flux Splitting Scheme," Journal of Computational Physics, Vol. 107, 1993, pp. 23-39.
35. Mavripilis, D. J., and Jameson, A., "Multigrid Solution of the Navier-Stokes Equations on Triangular Meshes," AIAA Journal, Vol. 28, No. 8, 1990, pp. 1415-1425.
36. Coirier, W. J., and Powell, K. G., "An Accuracy Assessment of Cartesian-Mesh Approaches for the Euler Equations," Journal of Computational Physics, Vol. 117, March 1995, pp. 121-131.
37. Suddhoo, A., and Hall, I. M., "Test Cases for the Plane Potential Flow Past Multi-Element Aerofoils," Aeronautical Journal, Dec. 1985, pp. 403-414.
38. Mitchell, C. R., and Walters, R. W., "K-Exact Reconstruction for the Navier-Stokes Equations on Arbitrary Grids," AIAA Paper 93-0536, July 1993.
39. Holmes, D. G., and Connell, S. D., "Solution of the 2D Navier-Stokes Equations on Unstructured Adaptive Grids," AIAA Paper 89-1932, 1989.
40. Ghia, U., Ghia, K. N., and Shin, C. T., "High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method," Journal of Computational Physics, Vol. 48, 1982, pp. 387-411.
41. Armaly, B. F., Durst, F., Pereira, J. C. F., and Schonung, B., "Experimental and Theoretical Investigation of Back ward-Facing Step Flow," Journal of Fluid Mechanics, Vol. 127, 1983, pp. 473-496.
42. Russell, L. M., Thurman, D. R., Simonyi, P. S., Hippensteele, S. A., and Poinsatte, P. E., "Measurements and Computational Analysis of Heat Transfer and Flow in a Simulated Turbine Blade Internal Cooling Passage," AIAA Paper 93-1797, June 1993.