Fluid dynamical view of pressure checkerboarding problem and smoothing pressure correction on meshes with colocated variables

International Journal of Heat and Mass Transfer

Volumn 46, Issue 25, 2003, Pages 4885-4898

  Date, A W ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

Colocated variables; Navier Stokes equations; SIMPLE algorithm; Smoothing pressure correction; Structured and unstructured meshes

Indexed keywords

ALGEBRA; ALGORITHMS; HEAT LOSSES; PRESSURE EFFECTS;

UNSTRUCTURED GRIDS;

COMPUTATIONAL FLUID DYNAMICS;

ALGORITHM; FLUID DYNAMICS; NAVIER-STOKES EQUATIONS; THREE-DIMENSIONAL FLOW;

EID: 0141559103     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(03)00332-6     Document Type: Article

References (26)

1. Baliga B.R. Patankar S.V. A control volume finite element method for two-dimensional fluid flow and heat transfer Numer. Heat Transfer 6 1983 245-282
2. Baliga B.R. Pham T.T. Patankar S.V. Solution of some two-dimensional incompressible fluid flow and heat transfer problems using a control volume finite element method Numer. Heat Transfer 6 1983 245-282
3. Patankar S.V. Spalding D.B. A calculation procedure for heat mass and momentum transfer in three dimensional parabolic flows Int. J. Heat Mass Transfer 15 1972 1787-1806
4. Harlow F.H. Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with a free surface Phys. Fluids 8 1985 2182
5. Prakash C. Patankar S.V. A control volume-based finite element method for solving the Navier-Stokes equations using equal-order velocity-pressure interpolation Numer. Heat Transfer 8 1985 259-280
6. Patankar S.V. Numerical Heat Transfer and Fluid Flow 1980 Hemisphere Publishing New York
7. Date A.W. Solution of Navier-Stokes equations on non-staggered grid Int. J. Heat Mass Transfer 36 1993 1913-1922
8. A.W. Date, Smoothing pressure correction on unstructured mesh, in: Proceedings of 2nd ICHMT Conference on Advances in Computational Heat Transfer, Palm Cove, Australia, May 2001
9. Date A.W. Complete pressure correction algorithm for solution of incompressible Navier-Stokes equations on a non-staggered grid Numer. Heat Transfer, Part B 29 1996 441-458
10. Date A.W. Solution of Navier-Stokes equations on non-staggered grid at all speeds Numer. Heat Transfer, Part B 33 1998 451-467
11. A.W. Date, SIMPLE procedure on structured and unstructured meshes with colocated variables, in: Proceedings of the Twelfth International Heat Transfer Conference, Grenoble, France, 2002, pp. 87-92
12. Ray S. Date A.W. A calculation procedure for solution of incompressible Navier-Stokes equations on curvilinear non-staggered grid Numer. Heat Transfer, Part B 38 2000 93-111
13. Rhie C.M. Chow W.L. A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation AIAA J. 21 1983 1525-1532
14. Davidson L. A pressure correction method for unstructured meshes with arbitrary control volumes Int. J. Numer. Methods Fluids 22 1996 265-281
15. Mathur S.R. Murthy J.Y. A pressure-based method for unstructured meshes Numer. Heat Transfer, Part B 31 1997 195-215
16. Demirdzic I. Muzaferija S. Numerical method for coupled fluid flow, heat transfer and stress analysis using unstructured moving meshes with cells of arbitrary topology Comput. Methods Appl. Mech. Eng. 125 1995 235-255
17. Miller T.F. Schmidt F.W. Use of a pressure weighted interpolation method for the solution of incompressible Navier-Stokes equations with non-staggered grid system Numer. Heat Transfer, Part B 14 1988 213-233
18. Issa R.I. Solution of implicitly discretised fluid flow equations by operator splitting J. Comput. Phys. 62 1986 40-65
19. Ferziger J.H. Peric M. Computational Methods for Fluid Dynamics second revised ed. 1999 Springer London
20. S. Majumdar, Development of a finite volume procedure for prediction of fluid flow with complex irregular boundaries, Report 210/T/29, SFB 210, University of Karlsruhe, Germany, 1986
21. Spalding D.B. A novel finite-difference formulation for differential expressions involving both first and second derivatives Inter. J. Numer. Methods Eng. 4 1972 557-559
22. Thiart G.D. Improved finite-difference scheme for convective-diffusive problems with the SIMPLEN algorithm Numer. Heat Transfer, Part B 18 1990 81-95
23. Shih T.M. Ren A.L. Primitive variable formulations using non-staggered grids Numer. Heat Transfer 7 1984 413-428
24. Sotiropolous F. Abdallah S. The discrete continuity equation in primitive variable solutions of incompressible flow J. Comput. Phys. 95 1991 212-227
25. Schlichting H. Boundary-Layer Theory (English translation by J. Kestin) 6th ed. 1968 McGraw-Hill New York
26. Warsi Z.U.A. Fluid Dynamics--Theoretical and Computational Approaches 1993 CRC Press London