Development of linearized preconditioning methods for enhancing robustness and efficiency of Euler and Navier-Stokes computations

13th Computational Fluid Dynamics Conference

Volumn , Issue , 1997, Pages 903-913

  Venkateswaran, S ^a   Buelow, P E O ^a   Merkle, C L ^a  

^a The Pennsylvania State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS; EFFICIENCY; FLUID DYNAMICS; LINEARIZATION; NAVIER STOKES EQUATIONS;

GOVERNING EQUATIONS; INNER ITERATION; LINEAR SOLVER; NAVIER-STOKES COMPUTATIONS; PRECONDITIONING METHOD; ROBUSTNESS ISSUES; STANDARD TIME; TRIDIAGONAL;

COMPUTATIONAL EFFICIENCY;

EID: 84982318020     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. Chorin, A. J., ‘A Numerical Method for Solving Incompressible Viscous Flow Problems,’ J. Comp. Phy., Vol. 2, pp. 12, 1967.
2. Turkel, E., "Preconditioned Methods for Solving the Incompressible and Low-Speed Compressible Equations, " Journal of Computational Physics, 72, pp. 277-298, 1987.
3. Choi, Y.-H. and Merkle, C. L., "The Application of Preconditioning in Viscous Flows, " Journal of Computational Physics, Vol. 105, pp. 207-223, 1993.
4. van Leer, B., Lee, W. T., Roe, P. L., "Characteristic Time-Stepping or Local Preconditioning of the Euler Equations", AIA A Paper 92-1552, Conference Proceedings, 1992.
5. Guerra, J. and Gustaffson, B., "A Numerical Method for Incompressible and Compressible Flow Problems with Smooth Solutions, " Journal of Computational Physics, 63, pp. 377-396, 1986.
6. Merkle, C. L. and Choi, Y.-H., "Computation of Low-Speed Compressible Flows with Time-Marching Procedures, " International Journal for Numerical Methods in Engineering, 25, pp. 293-311, 1988.
7. Fiterman, A., Turkel, E. and Vatsa, V., "Pressure-Updating Methods for the Steady-State Equations, " AIAA 95-1652, 12th AIAA CFD Conference, 1995.
8. Lynn, J. F., van Leer, B. and Lee, D., "Multigrid Solution of the Euler Equations with Local Preconditioning, " Fifteenth International Conference on Numerical Methods in Fluid Dynamics, June, 1996.
9. Venkateswaran, S. and Merkle, C. L., "Analysis of Time-Derivative Preconditioning for the Navier-Stokes Equations, " 6th International Symposium on Computational Fluid Dynamics, pp. 1323-1328, 1995.
10. Buelow, P. E. O., Venkateswaran, S. and Merkle, C. L., "The Effect of Grid Aspect Ratio on Convergence, " AIAA Journal, Vol. 32, No. 12, 1994, pp. 2401-2408.
11. Merkle, C. L., Sullivan, J. A. Y., Buelow, P. E. O. and Venkateswaran, S., "Computation of Flows with Arbitrary Equations of State, " AIAA 96-0680, 34th Aerospace Sciences meeting and Exhibit, January, 1996.
12. Venkateswaran, S. and Merkle, C. L., "Dual-Time Stepping and Preconditioning for Unsteady Computations, " AIAA Paper 95-’0078, 33rd Aerospace Sciences Meeting and Exhibit, January, 9-12, 1995.
13. Shuen, J. S., Chen, K. H. and Choi, Y.-H., "A Time-Accurate Algorithm for Chemical Non-Equilibrium Viscous Flows at all Speeds, " AIAA Paper 92-3639, 1992.
14. Weiss, J. M. and Smith, W. A., "Preconditioning Applied to Variable and Constant Density Flows on Unstructured Meshes, " AIAA 94-2209, 1994.
15. Hutchinson, B. R. and Raithby, G. D., 1986, "A Multigrid Method Based on the Ad Correction Strategy, " Numerical Heat Transfer, Vol. 9, pp. 511-537.
16. Raw, M., "Robustness of Coupled Algebraic Multigrid for the Navier-Stokes Equations, " AIAA 96-0297, 34th Aerospace Sciences Meeting and Exhibit, January, 1996.
17. Briley, W. R. and McDonald, H., "Solution of the Multidimensional Compressible Navier-Stokes Equations by a Generalized Implicit Method, " Journal of Computational Physics, Vol. 24, 1977, pp. 372-397.
18. Warming, R. F. and Beam, R. M., "On the Construction and Application of Implicit Factored Schemes for Conservation Law, " SIAM-AMS Proceedings, Vol. 11, pp. 85-129, 1978.
19. Roe, P. L., "Characteristic Based Schemes for the Euler Equations, " Annual Review of Fluid Mechanics, Vol. 18, pp. 337-365, 1986.
20. Pulliam, T. H., Rogers, S. and Barth, T. J., "Practical Aspects of Krylov-Subspace Iterative Methods in CFD, " AGARD 77th Fluid Dynamics Panel Symposium on Progress and Challenges in CFD Methods and Algorithms, October, 1995.