Abstract
Finite-difference computaion of the Navier-Stokes equations has a long history. One of the earliest work was done by M. Kawaguti1) by using mechanical hand calculator in the early fifties. He computed a steady flow around a circular cylinder at Reynolds number 40 (Fig.1). He says in his paper “the nummerical integration in this study took about one year and a half with twenty working hours every week, with a considerable amount of labor and endurance”. With the appearance and development of electronic computers, this type of computation became easier and easier. However, the high-Reynolds-number-f1ow computation had remained difficult. The Reynolds numbers of the computed flows were less than 1000 in most cases.
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References
M. Kawaguti; 1953 Numerical Solution of the Navier-Stokes Equations for the Flow around a Circular Cylinder at Reynolds Number 40, J. Phys. Soc. Japan Vol. 8, No. 6, pp. 747–757.
T. Kawamura and K. Kuwahara; 1984 Computation of High Reynolds Number Flow around a Circular Cylinder with Surface Roughness, AIAA paper 84 - 0340.
M. Beem and R. F. Warming? 1976 An Implicit Finite-Dif f ernce Algorithm for Hyperbolic Systems in Conservation-Law Form, J. Comput. Phys. vol. 22, pp. 87–110.
S. Obayashi and K. Kuwahara; 1984 LU Factorization of an Implicit Scheme for the Compressible Navier-Stokes Equations, AIAA Paper 84–1670.
K. Ishii and K. Kuwahara; 1984 Computation of Compress-ible Flow aruond a Circular Cylinder, AIAA paper 84–1631.
Y. Shida and K. Kuwahara; 1985 Computational Study of Unsteady Compressible Flow around an Airfoil by a Block Pentadiagonal Matrix Scheme, AIAA paper 85–1692.
J. L. Steger; 1979 Implicit Finite-Difference Simulation of Flow about Arbitrary Two-Dimensional Geometries, AIAA Journal, Vol. 16, No. 7, pp. 679–686.
K. Ishii, K. Kuwahara, S. Ogawa, W. J. Chyu and T. Kawamura; 1985 Computation of Flow aound a circular Cylinder in a Supercritical Regime, AIAA paper 85–1660.
T. Kawamura and K. Kuwahara; 1985 Direct Simulation of a Turbulent Inner Flow by Finite-Difference Method, AIAA paper 85 - 0376.
J. W. Deardorff; 1970 A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. vol. 41, pp. 453–480.
P. Moin and J. Kim; 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. vol. 118, pp. 341–377.
S. Obayashi, H. Kubota and K. Kuwahara; 1985 Computation of Unsteady Shock-Induced Vortex Separation, AIAA paper 85 - 0183.
K. Takashima; to appear in Technical Memorandum of National Aerospace Laboratory, Japan.
Y. Shida, H. Takami, K. Kuwahara and K. Ono; 1986 Computation of Dynamic Stall of NACA0012 Airfoil by Block Pentadiagonal Matrix Scheme, AIAA Paper 86 - 0116.
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© 1986 Springer-Verlag Berlin, Heidelberg
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Kuwahara, K. (1986). Development of High-Reynolds-Number-Flow Computaion. In: Kuwahara, K., Mendez, R., Orszag, S.A. (eds) Supercomputers and Fluid Dynamics. Lecture Notes in Engineering, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82908-6_3
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DOI: https://doi.org/10.1007/978-3-642-82908-6_3
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