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Skew upstream differencing schemes for problems involving fluid flow. (English) Zbl 0347.76066

76R99 Diffusion and convection
76D05 Navier-Stokes equations for incompressible viscous fluids
76R10 Free convection
65N06 Finite difference methods for boundary value problems involving PDEs
Full Text: DOI
[1] Raithby, G.D., A critical evaluation of upstream differencing applied to problems involving fluid flow, Comp. meth. appl. mech. eng., 9, 75-103, (1976) · Zbl 0346.76064
[2] Allen, D.N.; Southwell, R.V., Relaxation methods applied to determine the motion, in two dimensions, of a viscous fluid past a fixed cylinder, Q.J. mech. appl. math., 8, 129-145, (1955) · Zbl 0064.19802
[3] Spalding, D.B., A novel finite difference formulation for differential expressions involving both first and second derivatives, Int. J. numer. meth. eng., 4, 551-559, (1972)
[4] Raithby, G.D.; Torrance, K.E., Upstream-weighted differencing schemes and their application to elliptic problems involving fluid flow, Comp. fluids, 2, 191-206, (1974) · Zbl 0335.76008
[5] Gosman, A.D.; Pun, W.M.; Runchal, A.K.; Spalding, D.B.; Wolfstein, M., Heat and mass transfer in recirculating flows, (1969), Academic Press New York · Zbl 0239.76001
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[7] H.S. Carslaw and J.C. Jaeger, Conduction of heat in solids (Oxford Press, 2nd ed.), p. 54. · Zbl 0972.80500
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[9] Lauder, B.E.; Spalding, D.B., Mathematical models of turbulence, (1972), Academic Press London · Zbl 0288.76027
[10] Leyens, Gerd, Beitrag zur berechnung zweidimensionaler konvektionsströmungen in kontinuierlich betriebenen glasschelzwannen, Zeitschr. für glaskunde, 47, 261-270, (1974), H.12
[11] Torrance, K.E., Comparison of finite difference computations of natural convection, J. res. N.B.S., 72B, 281-301, (1968) · Zbl 0213.53802
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