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Numerical study of viscous flow in a cavity. (English) Zbl 0261.76024


MSC:

76D99 Incompressible viscous fluids
65N99 Numerical methods for partial differential equations, boundary value problems
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References:

[1] Burggraf, O., Analytical and numerical studies of the structure of steady separated flows, J. Fluid Mech., 24, 113-151 (1966)
[2] Pan, F.; Acrivos, A., Steady flows in rectangular cavities, J. Fluid Mech., 28, 643-655 (1967)
[3] Greenspan, D., Numerical studies of prototype cavity flow problems, Comput. J., 12, 89-94 (1969) · Zbl 0164.56102
[4] Runchal, A. K.; Spalding, D. B.; Wolfshtein, M., Numerical solution of the elliptic equations for transport of vorticity, heat, and matter in two-dimensional flow, Phys. Fluid., 12, II-21-II-28 (1969) · Zbl 0211.29403
[5] Kawaguti, M., Numerical solution of the Navier-Stokes equations for the flow in a two-dimensional cavity, J. Phys. Soc. Japan, 16, 2307-2315 (1961) · Zbl 0126.42403
[6] Batchelor, G. K., On steady laminar flow with closed streamlines at large Reynolds numbers, J. Fluid Mech., 1, 177-190 (1956) · Zbl 0070.42004
[7] Mills, R. D., Numerical solutions of the viscous flow equations for a class of closed flows, J. Roy. Aero. Soc., 69, 714-718 (1965)
[8] Moffatt, H. K., Viscous and resistive eddies near a sharp corner, J. Fluid Mech., 18, 1-18 (1964) · Zbl 0118.20501
[9] Thom, A.; Apelt, C. J., Field Computations in Engineering and Physics (1961), Van Nostrand: Van Nostrand London · Zbl 0122.12302
[10] Greenspan, D., Lectures on the Numerical Solution of Linear, Singular, and Nonlinear Differential Equations, ((1968), Prentice Hall: Prentice Hall New York) · Zbl 0134.33003
[11] Runchal, A. K.; Wolfshtein, M., Numerical integration procedure for the steady state Navier-Stokes equations, J. M. E. Sci., 11, 445-453 (1969) · Zbl 0242.76012
[12] Gosman, A. D.; Pan, W. M.; Runchal, A. K.; Spalding, D. B.; Wolfshtein, M., Heat and Mass Transfer in Recirculating flows (1969), Academic Press: Academic Press New York · Zbl 0239.76001
[13] Stone, H. L., Iterative solution of implicit approximations of multidimensional partial differential equations, SIAM J. Num. Anal., 5, 530-558 (1968) · Zbl 0197.13304
[14] Birkhoff, G.; Varga, R. S.; Young, D. M., Alternating direction implicit methods, (Alt, F. L.; Rubinoff, M., Advances in Computers, Vol. 3 (1962), Academic Press: Academic Press New York), 189-273 · Zbl 0111.31402
[15] Torrance, K.; Davis, R.; Eike, K.; Gill, P.; Gutman, D.; Hsui, A.; Lyons, S.; Zien, H., Cavity flows driven by buoyancy and shear, J. Fluid Mech., 51, 221-231 (1972)
[16] R. D. Richtmyer and K. W. Morton; R. D. Richtmyer and K. W. Morton · Zbl 0155.47502
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