On the multigrid acceleration approach in computational fluid dynamics

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 295 LNCS, Issue , 1988, Pages 145-158

  Solchenbach, Karl ^a,b   Trottenberg, Ulrich ^a,b,c  

^a Suprenum GmbH ^*  (Germany)

^b Gesellschaft für Mathematik und Datenverarbeitung mbH ^*  (Germany)

^c UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; DIFFUSION IN LIQUIDS; FLUID DYNAMICS;

ACCELERATION APPROACH; CLASSICAL METHODS; CONVECTION-DIFFUSION MODELS; MULTI-GRID; MULTIGRID ACCELERATION; MULTIGRID APPROACH; OPTIMAL APPROACHES;

NAVIER STOKES EQUATIONS;

EID: 84874524961     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-18923-8_19     Document Type: Conference Paper

References (21)

1. Barcus, M. Berechnung zweidimensionaler Strömungsprobleme mit Mehrgitterverfahren. Diplomarbeit Universität Erlangen-Nürnberg, 1987.
2. Brand, K., Lemke, M., Linden, J. Multigrid bibliography. Arbeitspapier der GMD 206, Gesellschaft für Mathematik und Datenverarbeitung, Bonn 1986.
3. Brandt, A. Multigrid techniques: 1984 guide with applications to fluid dynamics. GMD-Studie 85, Gesellschaft für Mathematik und Datenverarbeitung, Bonn 1984.
4. Brandt, A., Dendy, J.E., Ruppel, H. The multigrid method for semi-implicit hydrodynamics codes. J. Comp. Phys. 34, 348-370, 1980.
5. Brandt, A., Dinar, N. Multigrid solutions to ellitpic flow problems. In: Numerical Methods for Partial Differential Equations (S.V. Parker ed.), 53-147, Academic Press, New York, 1979.
6. Brockmeier, U., Mitra, N.K., Fiebig, M. Implementation of multigrid in SOLA. Notes on Numerical Fluid Mechanics, 13, 23-30, Vieweg 1986.
7. Fuchs, L. Multi-grid schemes for incompressible flows. Notes on Numerical Fluid Mechanics, 10, 38-51, Vieweg 1984.
8. Hackbusch, W. Multi-grid methods and applications. Springer Series in Computational Mathematics, 4, Springer 1985.
9. Hirt, C.W., Nichols, B.D., Romero, N.C. SOLA-a numerical solution algorithm for transient fluid flows. LASL report LA-5652, 1975.
10. Linden, J. Mehrgitterverfahren für das erste Randwertproblem der biharmonischen Gleichung und Anwendung auf ein inkompressibles Strömungsproblem. GMD-Bericht 164, Oldenbourg 1986.
11. Linden, J., Trottenberg, U., Witsch, K. Multigrid computation of the pressure of an incompressible fluid in a rotating spherical gap. Notes on Numerical Fluid Mechanics, 5, 183-193, Vieweg 1982.
12. Lonsdale, G. Solution of a rotating Navier-Stokes problem by a nonlinear multigrid algorithm. Numerical Analysis Report 105, University of Manchester, 1985.
13. Mulder, W.A. Analysis of a multigrid method for the Euler equations of gas dynamics in two dimensions. Proceedings of the 3rd International Copper Mountain Conference on Multigrid Methods, 1987.
14. Patankar, S.V., Spalding, D.B. A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Int. J. Heat Mass Transfer, 15, 1787-1806, 1972.
15. Ruttmann, B., Solchenbach, K. A multigrid solver for the computation of in-cylinder turbulent flows in engines. Notes on Numerical Fluid Mechanics, 10, 87-108, Vieweg 1984.
16. Schröder, W., Hänel, D. A comparison of several MG-methods for the solution of the time-dependent Navier-Stokes equations. In: Multigrid Methods II (W. Hackbusch, U. Trottenberg eds.), Lecture Notes in Mathematics 1228, Springer 1986.
17. Solchenbach, K., Steckel, B. Numerical simulation of the flow in 3D-cylindrical combustion chambers using multigrid methods. Arbeitspapiere der GMD 216, Gesellschaft für Mathematik und Datenverarbeitung, Bonn 1986.
18. Stone, H.L. Iterative solution of implicit approximations of multidimensional partial differential equations. SIAM J. Num. Anal., 5, 530-560, 1968.
19. Stüben, K., Trottenberg, U. Multigrid methods: Fundamental algorithms, model problem analysis and applications. In: Multigrid Methods (W. Hackbusch, U. Trottenberg eds.), Lecture Notes in Mathematics 960, Springer 1982.
20. Thole, C.A., Trottenberg, U. Basic smoothing procedures for the multigrid treatment of elliptic 3D-operators. Notes on Numerical Fluid Mechanics, 11, 102-111, Vieweg 1984.
21. Vanka, S.P. Block-implicit multigrid solution of Navier-Stokes equations in primitive variables. J. Comp. Phys., 65, 138-158, 1986.