Design Criteria for Local Euler Preconditioning

Journal of Computational Physics

Volumn 144, Issue 2, 1998, Pages 423-459

  Lee, Dohyung ^a  

^a The Department of Civil and Environmental Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANGLE VARIATION; DECOUPLINGS; DESIGN CRITERIA; EULER'S EQUATION; FLOW ANGLES; PRECONDITIONERS; SCALAR EQUATIONS; STABILITY PROBLEM; STAGNATION POINTS; SYSTEMS OF EQUATIONS;

EID: 0007248414     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.5993     Document Type: Article

References (36)

1. Allmaras S. R. Analysis of Semi-implicit Preconditioners for Multigrid Solution of the 2-d Compressible Navier-Stokes Equations. 1995.
2. P. Buelow, S. Venkateswaran, C. L. Merkle, The effect of grid aspect ratio on convergence, AIAA 12th Computational Fluid Dynamics Conference, 1995.
3. Chorin A. J. A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 2:1967.
4. Darmofal D. L., Schmid P. J. The importance of eigenvectors for local preconditioning of the Euler equations. J. Comput. Phys. 127:1996.
5. Deconinck H., Degrez G. Monotone shock-capturing cell vertex schemes for the Euler and Navier-Stokes equations on unstructured grids. Fifteenth International Conference on Numerical Methods in Fluid Mechanics. 1996.
6. Deconinck H., Hirsch C., Peuteman J. Characteristic decomposition methods for the multidimensional Euler equations. Lectures Notes in Physics. 264:1987.
7. Godfrey A. G. Topics on Spatially Accurate Methods and Preconditioning for the Navier-Stokes Equations with Finite-Rate Chemistry. 1992.
8. A. G. Godfrey, 1994.
9. Godfrey A. G. Steps Towards a Robust Preconditioning. 1994.
10. Godfrey A. G., Walters R. W., van Leer B. Preconditioning for the Navier-Stokes Equations with Finite-Rate Chemistry. 1993.
11. Godunov S. K. An interesting class of quasilinear systems. Dokl. Akad. Nauk SSSR. 139:1961;521.
12. Lax P. D. Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Regional Conf. Ser. Appl. Math. SIAM. 11:1973;521.
13. Lee D. Local Preconditioning of the Euler and the Navier-Stokes Equations. 1996.
14. Lee W.-T. Local Preconditioning of the Euler Equations. 1991.
15. Lee D. The Design of Local Navier-Stokes Preconditioning for Compressible Flow. J. Comput. Phys. 144:1998;460.
16. Lynn J. F. Multigrid Solution of the Euler Equations with Local Preconditioning. 1995.
17. Merkle C. L., Choi Y.-H. Computation of low-speed compressible flows with time-marching procedures. Int. J. Numer. Methods Eng. 25:1988;293.
18. Mesaros L. M. Multi-Dimensional Fluctuation Splitting Schemes for the Euler Equations on Unstructured Grids. 1995.
19. Mesaros L. M., Roe P. L. Multidimensional Fluctuation-Splitting Schemes Based on Decomposition Methods. 1995.
20. Müller J.-D. On Triangles and Flow. 1995.
21. Pailére H., Deconinck H., Struijs R., Roe P. L., Mesaros L. M., Müller J.-D. Computations of Inviscid Compressible Flows Using Fluctuation-Splitting on Triangular Meshes. 1993.
22. Pierce N. A., Giles M. B. Preconditioning Compressible Flow Calculations on Stretched Meshes. 1996.
23. Saad Y., Schultz M. H. GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems. 1983.
24. Spekreijse S. P. Multigrid Solution of the Steady Euler Equations. 1987.
25. Struijs R., Deconinck H., Roe P. L. Fluctuation splitting for the 2-D Euler equations. Computational Fluid Dynamics. 1991.
26. Ta'asan S. Canonical Forms of Multidimensional Inviscid Flows. 1993.
27. Tai C.-H. Acceleration Techniques for Explicit Euler Codes. 1990.
28. Turkel E. Acceleration to a Steady State for the Euler Equations. 1984.
29. Turkel E. Preconditioned Methods for Solving the Incompressible and Low Speed Compressible Equations. 1986.
30. Turkel E. Preconditioned methods for solving the incompressible and low speed compressible equations. J. Comput. Phys. 72:1987.
31. Turkel E., Fiterman A., van Leer B. Preconditioning and the Limit to the Incompressible Flow Equations. 1993.
32. B. van Leer, W. T. Lee, P. L. Roe, Characteristic time-stepping or local preconditioning of the Euler equations, AIAA 10th Computational Fluid Dynamics Conference, 1991.
33. van Leer B., Mesaros L., Tai C.-H., Turkel E. Local preconditioning in a stagnation point. 12th AIAA Computational Fluid Dynamics Conference. 1995;88.
34. S. Venkateswaran, C. L. Merkle, Analysis of time-derivative preconditioning for the navier-stokes equations, 6th International Symposium on Computational Fluid Dynamics, 1995.
35. H. Viviand, Pseudo-unsteady systems for steady inviscid flow calculations, Numerical Methods for the Euler Equations of Fluid Dynamics, 1985.
36. L. B. Wigton, N. J. Yu, D. P. Young, GMRES acceleration of computational fluid dynamics codes, AIAA 7th Computational Fluid Dynamics Conference, 1985.