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Vectorization of the SIMPLE solution procedure for CFD problems. II: The impact of using a multigrid method. (English) Zbl 0696.76037

For part I, see the foregoing entry (Zbl 0696.76036).

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
65Y05 Parallel numerical computation

Citations:

Zbl 0696.76036
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Full Text: DOI

References:

[1] Ierotheou, C. S.; Richards, C. W.; Cross, M., Vectorization of the SIMPLE solution procedure for CFD problems. I: A basic assessment, Appl. Math. Modelling, 13, 9, 524-529 (1989) · Zbl 0696.76036
[2] 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) · Zbl 0246.76080
[3] Bakhvalov, N. S., On the convergence of a relaxation method with natural constraints on the elliptic operator, USSR Comp. Math. Math. Phys., 6, 5, 101-135 (1966) · Zbl 0154.41002
[4] Federenko, R. P., A relaxation method for solving elliptic divergence equations, USSR Comp. Math. Math. Phys., 1, 1092-1096 (1962)
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[6] Brandt, A., Multi-level adaptive computations in fluid dynamics, Proceedings of AIAA Fourth CFD Conference, 100-108 (1979), Paper no. 79-1455
[7] Brandt, A., Multigrid solutions to steady-state compressible Navier-Stokes equations, (Glowinski, V. R.; Lions, J. L.; Shin, C. T., Computing Methods in Applied Sciences and Engineering (1982)), North-Holland, Amsterdam · Zbl 0599.76084
[8] Hackbusch, W., On the multi-grid method applied to difference equations, Computing, 20, 291-306 (1978) · Zbl 0391.65045
[9] Fuchs, L., New relaxation methods for incompressible flow problems, (Taylor, C., Numerical Methods in Laminar and Turbulent Flows (1983), Pineridge Press: Pineridge Press Swansea), 627-640
[10] Brandt, A.; Dinar, N., Multigrid solutions to elliptic flow problems, (Parter, S. V., Numerical Methods in PDEs (1977), Academic Press: Academic Press New York), 53-147
[11] Ghia, U.; Ghia, K. N.; Shin, C. T., High-resolutions for incompressible flow using the Navier-Stokes equation and a multigrid method, J. Computational Physics, 48, 387-411 (1982) · Zbl 0511.76031
[12] Phillips, R. E.; Schmidt, F. W., Multigrid techniques for the numerical solution of the diffusion equation, Numer. Heat Transfer, 7, 251-268 (1984) · Zbl 0565.65063
[13] Phillips, R. E.; Schmidt, F. W., Multigrid techniques for the solution of the passive scalar advection-diffusion equation, Numer. Heat Transfer, 8, 25-43 (1985) · Zbl 0567.76082
[14] Phillips, R. E.; Schmidt, F. W., A multilevel-multigrid technique for recirculating flows, Numer. Heat Transfer, 18, 573-594 (1985) · Zbl 0598.76095
[15] Vanka, S. P.; Misengades, K. P., Vectorized multigrid fluid flow calculations on a CRAY X-MP/48, Int. J. Numer. Methods in Fluids, 7, 635-648 (1987) · Zbl 0651.76010
[16] Sivaloganathan, S.; Shaw, G. J., A multigrid method for recirculating flows, Int. J. Numer. Methods in Fluids, 8, 417-440 (1988) · Zbl 0672.76041
[17] Miller, T. F.; Schmidt, F. W., Evaluation of a multilevel technique applied to the Poisson and Navier-Stokes equations, Numer. Heat Transfer, 13, 1-26 (1988)
[18] Hutchinson, B. R.; Raithby, G. D., A multigrid method based on the additive correction strategy, Numer. Heat Transfer, 9, 511-537 (1986)
[19] Settari, A.; Aziz, K., A generalization of the additive correction methods for the iterative solution of matrix equations, SIAM J. Numer. Analysis, 10, 506-521 (1973) · Zbl 0256.65020
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