Summary
A finite-volume method employing non-staggered variable arrangement and Cartesian velocity components is developed for the solution of the time-dependent three-dimensional incompressible Navier-Stokes equations on curvilinear boundary-fitted grids. The solution of the continuity equation is decoupled from the momentum equations by the SIMPLEC algorithm which enforces mass conservation by solving a pressure-correction equation. The computational scheme includes a 3D elliptic grid generation method for arbitrarily shaped domains. A number of 2D and 3D steady as well as unsteady flow examples have been computed and compared with other experimental and numerical results in order to validate the present code.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Perié, M.: “A finite volume method for the prediction of three-dimensional fluid flow in complex ducts”, Ph.D. thesis, University of London (1985).
Majumdar, S., Rodi, W. and Schönung, B.: “Calculation procedure for incompressible three-dimensional flows with complex boundaries”, in: Notes on Numerical Fluid Mechanics, Vol. 25, Finite Approximations in Fluid Mechanics II, ed. by E.H. Hirschel, Braunschweig: Vieweg (1989), pp. 279–294.
Thompson, J.F., Warsi, Z.U.A. and Mastin, C.W.: “Numerical grid generation. Foundations and applications”, New York: North-Holland (1985).
Hilgenstock, A.: “A fast method for elliptic generation of 3D grids with full boundary control”, in: Numerical Grid Generation in Computational Fluid Mechanics, ed. by S. Sengupta et al., Swansea: Pineridge (1988), pp. 137–146.
Khosla, P.K. and Rubin, S.G.: “A diagonally dominant second-order accurate implicit scheme”, Comp. Fluids 2 (1974), pp. 207–209.
Van Doormaal, J.P. and Raithby, G.D.: “Enhancement of the SIMPLE method for predicting incompressible fluid flows”, Num. Heat Transfer 7 (1984), pp. 147–163.
Rhie, C.M. and Chow, W.L.: “A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation”, AIAA J. 21 (1983), pp. 1525–1532.
Patankar, S.V.: “Numerical heat transfer and fluid flow”, New York: McGraw-Hill (1980).
Stone, H.L.: “Iterative solution of implicit approximations of multidimensional partial differential equations”, SIAM J. Num. Anal. 5 (1968), pp. 530–558.
Humphrey, I.A.C., Taylor, A.M.K. and Whitelaw, I.H.: “Laminar flow in a square duct of strong curvature”, J. Fluid Mech. 83 (1977), pp. 509–527.
Shair, F.H., Grove, A.S., Peterson, E.E. and Acrivos, A.: “The effect of confining walls on the stability of the steady wake behind a circular cylinder”, J. Fluid Mech. 17 (1965), pp. 546–550.
Kiehm, P., Mitra, N.K. and Fiebig, M.: “Numerical investigation of two-and three-dimensional confined wakes behind a circular cylinder in a channel”, AIAA paper 86–0035 (1986).
Freitas, C.J. and Street, R.L.: “Non-linear transient phenomena in a complex recirculating flow: A numerical investigation”, Int. J. Num. Meth. Fluids 8 (1988) pp. 769–802.
Kost, A., Mitra, N.K. and Fiebig, M.: “Numerical simulation of three-dimensional unsteady flow in a cavity”, to be published in: Proc. GAMM Workshop on “3D incompressible unsteady viscous laminar flows”, Braunschweig: Vieweg.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Fachmedien Wiesbaden
About this paper
Cite this paper
Kost, A., Bai, L., Mitra, N.K., Fiebig, M. (1992). Calculation Procedure for Unsteady Incompressible 3D Flows in Arbitrarily Shaped Domains. In: Vos, J.B., Rizzi, A., Ryhming, I.L. (eds) Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 35. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13974-4_26
Download citation
DOI: https://doi.org/10.1007/978-3-663-13974-4_26
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-07635-1
Online ISBN: 978-3-663-13974-4
eBook Packages: Springer Book Archive