Abstract
A high resolution and bounded convection scheme is proposed for the simulation of steady incompressible flows with finite volume method. The scheme is formulated on a nonuniform, nonorthogonal grid so as to be applicable to the simulation of practical engineering problems. The relative performance of the scheme is evaluated through applications to the test problems. The results of numerical experiments show that the proposed scheme yields similiar solutions which are as good as those obtained with the QUICK scheme, but without exhibiting the physically unrealistic overshoots and undershoots.
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References
Demirdzic, I., Lilek, Z. and Peric, M., 1992. “Fluid Flow and Heat Transfer Test Problems for Non-Orthogonal Grids: Bench-Mark Solution,”Int. J. Numer. Methods Fluids, Vol. 15, pp. 329–354.
Gaskell, P. H. and Lau, A. K. C., 1988, “Curvature-Compensated Convective Transport: SMART, A New Boundedness Preserving Transport Algorithm,”Int. J. Numer. Methods Fluids, Vol. 8, pp. 617–641.
Ghia, U., Ghia, K. N. and Shin, C. T., 1982, “High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method,”J. Comput. Physics, Vol. 48, pp. 387–411.
Humphrey, J. A. C., Taylor, A. M. K. and Whitelaw, J. H., 1977, “Laminar Flow in a Square Duct of Strong Curvature,”J.F.M., Vol. 83, pp. 509–527.
Khosla, P. K. and Rubin, S. G., 1974, “A Diagonally Dominant Second-Order Accurate Implicit Scheme,”Comput. Fluids, Vol. 2, pp. 207–209.
Leonard, B. P., 1979, “A Stable and Accurate Convective Modelling Procedure Based on Quadratic Interpolation,”Comput. Methods Appl. Mech. Engng., Vol. 19, pp. 59–98.
Leonard, B. P., 1988, “Simple High-Accuracy Resolution Program for Convective Modelling of Discontinuties,”Int. J. Numer. Methods Fluids, Vol. 8, pp. 1291–1318.
Patankar, S. V., 1980,Numerical Heat Transfer and Fluid Flow, McGraw-Hill.
Raithby, G. D., “Skew Upstream Differencing Schemes for Problem Inolving Fluid Flow,”Comput. Methods Appl. Mech. Engng., Vol. 9. pp. 153–164.
Rhie, C. M. and Chow, W. L., 1983, “Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation,”AIAA J., Vol. 21, pp. 1525–1532.
Shin, J. K. and Choi, Y. D., 1992, “Study on the Improvement of the Convective Differencing Scheme for the High-Accuracy and Stable Resolution of the Numerical Solution,”Trans. KSME, 16–6, pp. 1179–1194 (in Korea).
Warming, R. F. and Beam, R. M., 1976, “Upwind Second-Order Difference Schemes and Applications in Aerodynamic Flows,”AIAA J., Vol. 14, pp. 1241–1249.
Zhu, J., 1991, “A Low-Diffusive and Oscillation-Free Convection Scheme,”Comm. Appl. Numer, Methods, Vol. 7, pp. 225–232.
Zhu, J., 1992, “On the Higher-Order Bounded Discretization Schemes for Finite Volume Computations of Incompressible Flow,”Comput. Methods Appl. Mech. Egng., Vol. 98, pp. 345–360.
Zhu, J. and Rodi, W., 1991, “A Low Dispersion and Bounded Convection Scheme,”Comput. Methods Appl. Mech. Engng., Vol. 92, pp. 225–232.
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Choi, S.K., Nam, H.Y. & Cho, M. A high resolution and bounded convection scheme. KSME Journal 9, 240–250 (1995). https://doi.org/10.1007/BF02953624
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DOI: https://doi.org/10.1007/BF02953624