A Fractional Step Method for Unsteady Incompressible Flows on Unstructured Meshes

International Journal of Computational Fluid Dynamics

Volumn 8, Issue 1, 1997, Pages 11-29

  Despotis, G K ^a   Tsangaris, S ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Incompressible unsteady flow; Navier stokes equations; Projection method; Unstructured finite volume

Indexed keywords

EID: 3142514707     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: 10.1080/10618569708940793     Document Type: Article

References (18)

1. Andersson, H. I. and Kristoffersen, R. (1989). 'Numerical simulation of unsteady viscous flows', Arch. Mech., 41, 207.
2. Chorin, A. J. (1968). 'Numerical solution of Navier-Stokes equations', Math. Comput., 22, 745.
3. Despotis, G. K. and Tsangaris, S., 'A fractional step method for the solution of incompressible Navier-Stokes equations on unstructured triangular meshes', accepted for publication in International Journal of Numerical Methods in Fluids.
4. Fromm, J. (1964), 'The time dependent flow of an incompressible viscous fluid', Methods Comput. Phys., 3, 345.
5. Goldberg, I. S., Carey, G. F., McLay, R. and Phinney, L. (1990). 'Periodic viscous flow: a bench-mark problem'. International Journal of Numerical Methods in Fluids, 11, 87-97.
6. Harlow, F. H. and Welch, J. E. (1965). 'Numerical calcula- tion of time-dependent viscous incompressible flow of fluid with free surface', Phys. Fluids, 8, 2182.
7. Hirt, C. W. and Cook, J. L. (1972). J. Comput. Phys., 10, 334.
8. Jameson, A., Baker, T. J. and Weatherill, N. P. (1986). 'Calculation of inviscid transonic flow over a complete aircraft', AIAA Paper 86-0103.
9. Jameson, A. and Mavriplis, D. (1986).'Finite volume solution of the two-dimensional Euler equations on regular triangular mesh', AIAA J., 24(4), 611.
10. Kim, J. and Moin, P. (1985). 'Application of a fractional-step method to incompressible Navier-Stokes equations; J. Comput. Phys., 59, 308.
11. Mavriplis, D. J., Jameson, A. and Martinelli, L. (1989). 'Multigrid solution of the Navier-Stokes equations on triangular meshes', AIAA Paper 89-0120, AIAA 27th Aerospace Sciences Meeting, Reno, Nevada.
12. Moin, P. and Kim, J. (1980). J. Comput. Phys., 35, 381.
13. Moore, F. K. (1964). 'Theory of laminar flows', Princeton Univ. Press, Princeton.
14. Siouffi, M., Pelissier, R., Farahifar, D. and Rieu, R. (1984). "The effect of unsteadiness on the flow through stenoses and bifurcations', J. Biomechanics, 17(5), 299-315.
15. Soh, W. Y. and Goodrich, J. W. (1988). 'Unsteady solution of incompressible Navier-Stokes equations', J. Comput. Phys., 79, 113-134.
16. Thomadakis, M. and Leschziner, M. (1994), 'Numerical simulation of viscous incompressible flows-using a pressure-correction method and unstructured grids', ECCOMAS '94 Conference, Stuttgart, Germany.
17. Tu, C., Deville, M., Dheuer, L. and Vanderschuren, L. (1992). 'Finite element simulation of pulsatile flow through arterial stenosis', J. Biomechanics, 25(10), 1141-1152.
18. Williams, G. P. (1969). J. Fluid Mech., 37, 727.