Upwind method for simulation of viscous flow on adaptively refined meshes

AIAA Journal

Volumn 32, Issue 2, 1994, Pages 268-277

  Aftosmis, M J ^a,b  

^a AIR FORCE RESEARCH LABORATORY   (United States)

^b NASA AMES RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID DYNAMICS;

ADAPTIVELY REFINED MESHES; COMPACT CENTRAL DIFFERENCE TECHNIQUE; MESH ADAPTATION; RUNGE-KUTTA TIME STEPPING SCHEME; VISCOUS FLOW SIMULATION;

VISCOUS FLOW;

COMPUTER SIMULATION; NAVIER-STOKES EQUATIONS; UPWIND INTERACTION; VISCOUS FLOW;

EID: 0028372454     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.11981     Document Type: Article

References (27)

1. Yee, H. C., “Upwind and Symmetric Shock-Capturing Schemes,” NASA-m 86842, May 1987.
2. Harten, A., “High Resolution Schemes for Hyperbolic Conservation Laws,” Journal of Computational Physics, Vol. 52, No. 2, 1983, pp. 357393.
3. Roe, P. L., “Approximate Reimann Solvers, Parameter Vectors, and Difference Schemes,” Journal of Computational Physics, Vol. 43, No. 2, 1981, pp. 357-393.
4. Kroll, N., Gaitonde, D., and Aftosmis, M., “A Systematic Comparative Study of Several High Resolution Schemes for Complex Problems in High Speed Flows,” AIAA Paper 91-0636, Jan. 1991.
5. Ramanurti, R., and Löhner, R., “Simulation of Subsonic Viscous Flows Using Unstructured Grids and a Finite Element Solver,” AIAA Paper 900702, Jan. 1990.
6. Aftosmis, M., and Kroll, N., “A Quadrilateral Based Second-Order TVD Method for Unstructured Adaptive Meshes,” AIAA Paper 91-0124, Jan. 1991.
7. Dannenhoffer, J. F., III, and Baron, J. R., “Adaptation Procedures for Steady State Solution of Hyperbolic Equations,” AIAA Paper 84-0005, Jan. 1984.
8. Kallinderis, Y., “A Finite Volume Navier-Stokes Algorithm for Adaptive Grids,” International Journal for Numerical Methods in Fluids, Vol. 15, No. 2,1992, pp.193-217.
9. Kallinderis, Y., and Baron, J. R., “Adaptation Methods for a New Navier-Stokes Algorithm,” AIAA Journal, Vol. 27, No. 1,1989, pp. 37-43.
10. Mavriplis, 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.
11. Yee, H. C., and Harten, A., “Implicit TVD Schemes for Hyperbolic Conservation Laws in Curvilinear Coordinates,” AIAA Journal, Vol. 25, No. 2,1987, pp. 266-274.
12. Roe, P. L., and Beard, L., “An Improved Wave Model for Multidimensional Upwinding of the Euler Equations,” Proceedings of the 13th International Conference on Numerical Methods in Fluid Dynamics (Rome), Springer-Verlag, Heidelberg, Germany, 1992, pp. 135-139.
13. Rumsey, C., van Leer, B., and Roe, P. L., “A Grid-Independent Approximate Reimann Solver with Applications to the Euler and Navier-Stokes Equations,” AIAA Paper 91-0239, Jan. 1991.
14. Barth, T. J., and Jespersen, D. C., “The Design and Application of Upwind Schemes on Unstructured Meshes,” AIAA Paper 89-0366, Jan. 1989.
15. Durlofsky, L. J., Osher, S., and Enquist, B., “Triangle Based Adaptive Stencils for the Solution of Hyperbolic Conservation Laws,” Journal of Computational Physics, Vol. 98, No. 1,1992, pp. 64-73.
16. Jameson, A., “A Vertex Based Multigrid Algorithm for 3-Dimensional Compressible Flow Calculations,” Numerical Methods for Compressible Flows—Finite Difference, Element, and Volume Techniques, edited by T. E. Tezduyar and T. Hughes, Applied Mechanics Div. 78, American Society of Mechanical Engineers, New York, 1986.
17. Kroll, N., and Rossow, C., “A High Resolution Cell Vertex TVD Scheme for the Solution of the Two and Three Dimensional Euler Equations,” Proceedings of the 12th Conference on Numerical Methods in Fluid Dynamics (Oxford, UK), Springer-Verlag, Heidelberg, Germany, 1990, pp. 442-446.
18. Barth, T. J., “Aspects of Unstructured Grids and Finite-Volume Solvers for the Euler and Navier-Stokes Equations,” AGARD Rept. 787, May 1992.
19. Aftosmis, M., “Viscous Flow Simulation Using an Upwind Method for Hexahedral Based Adaptive Meshes,” AIAA Paper 93-0772, Jan. 1993.
20. Kallinderis, Y. G., “Adaptation Methods for Viscous Flows,” Ph.D. Thesis, Dept, of Aeronautics and Astronautics, Massachusetts Inst, of Technology, Cambridge, MA, 1988.
21. Radespiel, R., Rossow, C., and Swanson, R. C., “Efficient Cell-Vertex Multigrid Scheme for the Three-Dimensional Navier-Stokes Equations,” AIAA Journal, Vol. 28, No. 8,1990, pp. 1464-1472.
22. Martinelli, L., “Calculations of Viscous Flows with a Multigrid Method,” Ph.D. Thesis, Dept, of Mechanical and Aerospace Engineering, Princeton Univ., Princeton, NJ, 1987.
23. Warren, G. P., Anderson, W. K., and Krist, S., “Grid Convergence for Adaptive Methods,” AIAA Paper 91-1592, June 1991.
24. Liepmann, H. W., and Roshko, A., Elements of Gas Dynamics, Wiley, New York, 1957, pp. 104-105.
25. West, J. E., and Korkegi, R. H., “Supersonic Interactions in the Comer of Intersecting Wedges at High Reynolds Numbers,” AIAA Journal, Vol. 12, No. 5,1972.
26. Kutler, P., “Supersonic Flow in the Comer by Two Intersecting Wedges,” AIAA Journal, Vol. 12, 1974, pp. 577,578.
27. Erickson, G. E., Schreiner, J. A., and Rogers, L. W., “On the Structure, Interaction, and Breakdown Characteristics of Slender Wing Vortices at Subsonic, Transonic, and Supersonic Speeds,” AIAA Paper 89-3345, June 1989.