Development of an artificial compressibility methodology with implicit LU-SGS method

International Journal of Computational Fluid Dynamics

Volumn 15, Issue 3, 2001, Pages 197-208

  Lee, T S ^a   Wei, Liao ^a   Low, H T ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Artificial compressibility; Time accurate scheme

Indexed keywords

EID: 23044529222     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. Jameson, A. and Yoon, S. (1986). LU implicit scheme with Multiple grids for the Eulur equations, AIAA Paper No. 86-0105.
2. Harlow, F. H. and Welch, J. E. (1965). Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface, Physics of Fluids, 8, 2182-2189.
3. Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing, New York, 1980.
4. Chorin, A. J. (1968). Numerical solution of Navier-Stokes equations, Mathematics of Computation, 22, 745-762.
5. Chorin, A. J. (1967). A numerical method for solving incompressible viscous flow problems, J. Comput. Phys., 2, 12-26.
6. Rogers, S. E. and Kwak, D. (1990). Upwind differencing for time-accurate incompressible Navier-Stokes equations, AIAA Journal, 28, 253-262.
7. Rogers, S. E., Kwak, D. and Kiris, C. (1991). Steady and unsteady solutions of the incompressible Navier-Stokes equations, AIAA Journal, 29, 603-610.
8. Gaitonde, Ann L. (1998). A dual-time method for two-dimensional unsteady incompressible flow calculations, Int. J. Numer. Methods Engineering, 41, 1153-1166.
9. Roe, P. L. (1981). Approximate Riemann solvers, parameter, vectors, and difference schemes, J. Comput. Phys., 43, 357-372.
10. Hirsch, C., Numerical Computation of Internal and External Flows, John Wiley & Sons Ltd, 1990.
11. Ghia, U., Ghia, K. N. and Shin, C. T. (1982). High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method, J. Comput. Phys., 48, 387-411.
12. Mansour, M. L. and Hamed, A. (1990). Implicit solution of the incompressible Navier-Stokes equations on a non-staggered grid, J. Comput. Phys., 86, 147-167.
13. Armaly, B. F., Durst, F., Pereira, J. C. and Schonung, B. (1983). Experimental and theoretical investigation of backward-facing step flow, J. Fluid Mech., 127, 423-496.
14. Kim, J. and Moin, P. (1985). Application of a fractional-step method to incompressible Navier-Stokes equations, J. Comput. Phys., 59, 308-323.
15. Gartling, D. K. (1990). A test problem for outflow boundary conditions - flow over a backward-facing step, Int. J. Numer. Methods Fluids, 11, 953-967.
16. Barton, I. E. (1998). Comparison of Simple- and Piso-type algorithms for transient flows, Int. J. Numer. Methods Fluids, 26, 459-483.
17. Soh, W. Y. and Goodrich, J. W. (1988). Unsteady solution of incompressible Navier-Stokes equations, J. Comput. Phys.,19, 113-134.
18. Gianni, P. (1996). Unsteady tube flow over an expansion, J. Fluid Mech., 310, 89-111.