Some approaches towards constructing optimally efficient multigrid solvers for the inviscid flow equations

Computers and Fluids

Volumn 28, Issue 4-5, 1999, Pages 551-571

  Sidilkover, D ^a  

^a NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; EQUATIONS OF MOTION; OPTIMIZATION;

INVISCID FLOW EQUATIONS;

COMPUTATIONAL FLUID DYNAMICS;

COMPRESSIBLE FLOW; EQUATION; FLOW MODELING;

EID: 0032764624     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(98)00044-9     Document Type: Article

References (27)

1. Sidilkover D. A genuinely multidimensional upwind scheme for the compressible Euler equations. In: Glimm J., Graham MJ, Grove JW, Plohr BJ, editors. Proceedings of the Fifth International Conference on Hyperbolic Problems: Theory, Numerics, Applications. Washington DC: World Scientific, 1994.
2. Sidilkover D. A genuinely multidimensional upwind scheme and efficient multigrid solver for the compressible Euler equations. Report no. 94-84, ICASE, 1994.
3. Sidilkover D. Multidimensional upwind and multigrid. In: 12th AIAA CFD Meeting, AIAA 95-1759. 19. San Diego, CA, 1995.
4. Sidilkover D. Numerical solution to steady-state problems with discontinuities. Ph.D. thesis, The Weizmann Institute of Science, Rehovot., 1989.
5. Sidilkover D., Brandt A. Multigrade solution to steady-state 2D conservation laws. SIAM J. Numer. Anal. 30:1993;249-274.
6. Spekreijse S. Multigrid solution of monotone second-order discretization of hyperbolic conservation laws. Math. Comput. 30:1987;135-155.
7. Deconinck H, Struijs R, Roe PL. Fluctuation splitting for multidimensional convection problem: an alternative to finite volume and finite element methods. VKI Lecture Series 1990-1993 on Computational Fluid Dynamics, Von Karman Institute, Brussels, March, 1991.
8. Roe P.L. Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics. J. Comput. Phys. 63:1986;458-476.
9. van der Weide E., Deconinck H. Positive matrix distribution schemes for hyperbolic systems, with applications to the Euler equations. In: Desideri J.A., Hirsch C., Le Tallec P., Pandolfi M., Périaux J., editors , editors. Proceedings of the Third ECCOMAS CFD Conference, Paris. New York: Wiley, 1996.
10. Colella P. Multidimensional upwind methods for hyperbolic conservation laws, Technical Report LBL-17023. Lawrence Berkeley Report, 1984.
11. Colella P. Multidimensional upwind methods for hyperbolic conservation laws. J. Comput. Phys. 87:1990;171.
12. LeVeque R.J. High resolution finite volume methods on arbitrary grids via wave propagation. J. Comput. Phys. 78:1988;36-63.
13. Radvogin YB. Quasi-monotonous multidimensional difference schemes with second order accuracy. Soviet Academy of Science Preprint, 1991.
14. Giles M, Anderson WK, Roberts TW. The upwind control volume scheme for unstructered triangular grids. Technical Memoradum 101664, NASA, 1989.
15. Brandt A. Multigrid techniques: 1984 Guide with applications to fluid Dynamics. The Weizmann Institute of Science, Rehovot, 1984.
16. Brandt A., Yavneh I. Accelerated multigrid convergence and high Reynolds recirculating flows. SIAM J. Sci. Statist. Comput. 14:1993;607-626.
17. Rosenfeld M., Israeli M. Numerical solution of incompressible flows by a marching multigrid nonlinear methods. AIAA J. 25:1987;641-647.
18. Ta'asan S. Canonical-variables multigrid method for steady-state Euler equations. Report no. 94-14, ICASE, 1994.
19. Ta'asan S. Canonical forms of multidimensional steady inviscid flows. Report no. 93-94, ICASE, 1993.
20. Sidilkover D., Ascher U. A multigrid solver for the steady-state Navier-Stokes equations using the pressure-Poisson formulation. Matematica Aplicada e Computational. 14:1995;21-35.
21. Roberts TW, Sidilkover D, Swanson RC. Textbook multigrid efficiency for the steady Euler equations. In: 13th CFD AIAA Meeting. 1996.
22. Mesaros L, Roe PL. Multidimensional fluctuation-splitting schemes based on decomposition methods. In: 12th AIAA CFD Meeting, AIAA 95-1699, 19-22 June. San Diego, CA, 1995.
23. Paillère H, Deconinck H, Roe PL. Conservative upwind residual-distribution schemes based on the steady characteristics of the Euler equations. In: 12th AIAA CFD Meeting, AIAA 95-1700, 19-22 June. San Diego, CA, 1995.
24. Hirsch C. Numerical computation of internal and external flows. vol. 2. New York: Wiley, 1990.
25. Deconinck H., Roe P.L., Struijs R. A multidimensional generalization of Roe's flux difference splitter for the Euler equations. Comput. Fluids. 22:1993;215-222.
26. Roberts TW, Swanson RC, Sidilkover D. An algorithm for ideal multigrid convergence for the steady Euler equations. Comput. Fluids 1999; & Fluids 1999;28(4-5):427-442.
27. Roberts TW, Swanson RC, Sidilkover D. An algorithm for ideal multigrid convergence for the steady Euler equations. Comput. Fluids 1999; & Fluids 1999;28(4-5):427-442.