Assessment of local preconditioners for steady state and time dependent flows

34th AIAA Fluid Dynamics Conference and Exhibit

Volumn , Issue , 2004, Pages

  Vatsa, Veer N ^a   Turkel, Eli ^b,c  

^a NASA LANGLEY RESEARCH CENTER   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

^c NIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL VISCOSITY; DUAL TIME STEPPING; GOVERNING EQUATIONS; HYPERBOLIC SYSTEM; NUMERICAL ACCURACY; STEADY STATE SOLUTION; TIME-DEPENDENT FLOW; TIME-DEPENDENT PROBLEM;

FLUID DYNAMICS;

EID: 84896693430     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (30)

1. S. Abarbanel and D. Gottlieb, Time Splitting for Two- and Three-dimensional Navier-Stokes Equations with Mixed Derivatives, J. Comput. Phys. 41:1-33 (1981).
2. S. Allmaras, Analysis of a Local Matrix Preconditioner for the 2-D Navier-Stokes Equations, AIAA paper 93-3330 (1993).
3. D.A. Caughey and A. Jameson, Fast Preconditioned Multigrid Solution of the Euler and Navier-Stokes Equations for Steady Compressible Flows, AIAA Paper 2002-0963 (2002).
4. G. Erlebacher, M.Y. Hussaini and C.-W. Shu, Interaction of a Shock with a Longitudinal Vortex J. Fluid Mechanics, 337:129-153 (1997).
5. K. Hosseini and J.J. Alonso, Practical Implementation and Improvement of Preconditioning Methods for Explicit Multistage Flow Solvers, AIAA paper 2004-0763 (2004).
6. A. Jameson, W. Schmidt and E. Turkel, Numerical Solutions of the Euler Equations by a Finite Volume Method using Runge-Kutta Time-Stepping Schemes, AIAA Paper 81-1259 (1981).
7. A. Jameson and T.J. Baker, Solution of the Euler Equations for Complex Configurations, AIAA paper 83-1929, July 1983.
8. A. Jameson, Time Dependent Calculations Using Multigrid, with Applications to Unsteady Flows past Airfoils and Wings, AIAA Paper 91-1596 (1991).
9. A. Jameson and D.A. Caughey, How Many Steps are Required to Solve the Euler equations of Steady, Compressible Flow: In Search of a Fast Solution Algorithm, AIAA Paper 2001-2673 (2001).
10. D. Levy and E. Tadmor, From Semidiscrete to Fully Discrete: Stability of Runge-Kutta Schemes by the Energy Method, SIAM Review 40:40-73 (1998).
11. L. Martinelli and A. Jameson, Validation of a Multigrid Method for the Reynolds Averaged Equations, AIAA Paper 88- 0414, 1988.
12. S.A. Pandya, S. Venkateswaran and T.H. Pulliam, Implementation of Preconditioned Dual-Time Procedures in OVERFLOW, AIAA paper 2003-0072 (2003).
13. N.A. Pierce and M.B. Giles, Preconditioned Multigrid Methods for Compressible Flow Codes on Stretched Meshes, J. Comput. Phys. 136:425-445 (1997).
14. J.L. Thomas and M.D. Salas, Far-Field Boundary Conditions for Transonic Lifting Solutions to the Euler Equations, AIAA paper 85-20, Jan. 1985.
15. R.C. Swanson and E. Turkel E, On Central Difference and Upwind Schemes, J. Comput. Phys. 101:292-306 (1987).
16. E. Turkel, Preconditioned Methods for Solving the Incompressible and Low Speed Compressible Equations, J. Comput. Phys. 72:277 (1987).
17. E. Turkel, A Review of Preconditioning Methods for Fluid Dynamics, Appl. Numer. Math., 12:257-284 (1993).
18. E. Turkel, A. Fiterman and B. van Leer, Preconditioning and the Limit to the Incompressible Flow Equations, in Computing the Future: Frontiers of Computational Fluid Dynamics 1994, ed. D.A. Caughey and M.M. Hafez, Wiley Publishing, 215-234 (1994).
19. E. Turkel, R. Radespiel and N. Kroll, Assessment of Two Preconditioning Methods for Aerodynamic Problems, Computers and Fluids, 26:613-634, 1997.
20. E. Turkel, Preconditioning-Squared Methods for Multidimensional Aerodynamics, AIAA Paper 97-2025 (1997).
21. E. Turkel, Preconditioning Techniques in Computational Fluid Dynamics, Annual Review of Fluid Mechanics, 31, 385-416 (1999).
22. E. Turkel Robust Preconditioning for Steady and Unsteady Viscous Flows, AIAA paper 02-0962 (2002).
23. E. Turkel and V.N. Vatsa, Choice of Variables and Preconditioning for Time Dependent Problems, AIAA Paper 2003-3692 (2003).
24. B. van Leer, W.T. Lee and P.L. Roe, Characteristic Time-Stepping or Local Preconditioning of the Euler Equations, AIAA Paper 91-1552, 1991.
25. V.N. Vatsa and B.W. Wedan, Development of an Efficient Multigrid Code for 3-D Navier-Stokes Equations, AIAA Paper 89-1791 (1989).
26. V.N. Vatsa, M.D. Sanetrik and E.B. Parlette, A Multigrid Based Multiblock Flow Solver for Practical Aerodynamic Configurations. in Computing the Future: Frontiers of Computational Fluid Dynamics 1994, ed. D.A. Caughey and M.M. Hafez, Wiley Publishing, 414-447 (1994).
27. V.N. Vatsa, E. Turkel and M. Carpenter, Simulation of Synthetic Jets in Quiescent Air using URANS Equations, AIAA paper 2004-4967.
28. S. Venkateswaran and L. Merkle, Dual Time Stepping and Preconditioning for Unsteady Computations, AIAA paper 95-0078 (1995).
29. S. Venkateswaran and L. Merkle, Artificial Dissipation Control for Unsteady Computations, AIAA paper 2003-3695 (2003).
30. L.B. Wigton and R.C. Swanson, Variable Coefficient Implicit Residual Smoothing, 12th International Conference on Numerical Methods in Fluid Dynamics, 1990.