Summary
Multigrid and ADI methods were used to solve unsteady 3D Navier-Stokes equations in Velocity-Vorticity formulation, for the lid-driven cavity test case of spanwise aspect ratio equal to 3:1, at a Reynolds number Re equal to 3200. Results are given for the characteristic times T=50,100,200.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
O. DAUBE, J.L. GUERMOND, A. SELLIER“ On the velocity-vorticity formulation of Navier-Stokes equations in incompressible flow”. C.R. Acad. Sci., t.313 serie 2 n°4,p. 377–382, 1991.
GATSKI, “Incompressible fluid flow computations using the vorticity-velocity formulation”. Appl. Num. Math. vol 7 n°3,p. 227–240, 1991.
G.A. OSSWALD, K.N. GHIA, U. GHIA, ’ A direct algorithm for the solution of incompressible three-dimensional unsteady Navier-Stokes equations“. AIAA 8th Computational Fluid Dynamic Conference,n°87–1139, 1987.
C. SPEZIALE, “On the advantages of the vorticity-velocity formulation of the equations of fluid dynamics”. J. Comp. Phys. 73, p. 476–480, 1987.
J. DOUGLAS Jr, “ Alternating direction methods for three space variables”. Num. Math. 4, p. 41–63, 1962.
A. BRANDT “A guide to multigrid development”. Lecture Notes in Mathematic’, n°560,p. 220–312, 1981.
T-H LE,Y.MORCHOISNE,“Treatment of pressure in incompressible viscous flow calculation”.C.R. Acad. Sci. Paris,t 312, Serie II, p. 1071–1076, 1991.
J.R. KOSEFF, R.L. STREET, “Visualization studies of a shear driven three-dimensional recirculating flow”. J. Fluid Eng., Vol. 106, p. 21–29, 1984.
H.S RHEE, J.R. KOSEFF and R.L. STREET, “Flow visualization of a recirculating flow by rheoscopic liquid and liquid crystal techniques”. Exp. Fluids 2, p. 57–64, 1984.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1992 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
About this chapter
Cite this chapter
Tromeur-Dervout, D., Phuoc, L.T. (1992). Multigrid and ADI techniques to solve unsteady 3D viscous flow in velocity-vorticity formulation. In: Deville, M., Lê, TH., Morchoisne, Y. (eds) Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows. Notes on Numerical Fluid Mechanics (NNFM), vol 48. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-00221-5_11
Download citation
DOI: https://doi.org/10.1007/978-3-663-00221-5_11
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-00071-6
Online ISBN: 978-3-663-00221-5
eBook Packages: Springer Book Archive