Study of the effect of the non-orthogonality for non-staggered grids-the theory

International Journal for Numerical Methods in Fluids

Volumn 28, Issue 9, 1998, Pages 1265-1280

  Xu, H ^a   Zhang, C ^a  

^a UNIVERSITY OF WINDSOR   (Canada)

Author keywords

Contravariant velocity fluxes; General curvilinear co ordinates; Lid driven cavity flow; Momentum interpolation; Non staggered grid

Indexed keywords

ALGORITHMS; INTERPOLATION; MATHEMATICAL MODELS;

CONTRAVARIANT VELOCITY FLUX; DISCRETIZATION EQUATIONS; GENERAL CURVILINEAR COORDINATES; LID-DRIVEN CAVITY FLOW; MOMENTUM EQUATIONS; MOMENTUM INTERPOLATION METHOD; NON-ORTHOGONAL GRIDS;

COMPUTATIONAL FLUID DYNAMICS;

FINITE DIFFERENCE TECHNIQUE; FLUID FLOW; MATHEMATICAL MODELING;

FINITE DIFFERENCE METHOD; FLOW MODELING; FLUID FLOW; MATHEMATICAL METHOD;

EID: 0032535587     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19981215)28:9<1265::AID-FLD726>3.0.CO;2-1     Document Type: Article

References (15)

1. J.F. Thompson, Z.U.A. Warsi and C.W. Mastin, Numerical Grid Generation, Foundations and Applications, North-Holland, New York, 1985.
2. K.C. Karki, 'A calculation procedure for viscous flows at all speeds in complex geometries', Ph.D. Thesis, University of Minnesota, Minneapolis, 1986.
3. H.Q. Yang, S.D. Habchi and A.J. Przekwas, 'General strong conservation formulation of Navier - Stokes equations in nonorthogonal curvilinear coordinates', AIAA J., 32, 936-941 (1994).
4. C.M. Rhie and W.L. Chow, 'Numerical study of the turbulent flow past an airfoil with trailing edge separation', AIAA J., 21, 1525-1532 (1983).
5. S. Majumdar, 'Role of underrelaxation in momentum interpolation for calculation of flow with nonstaggered grids', Numer. Heat Trans., 13, 125-132 (1988).
6. T.F. Miller and F.W. Schmidt, 'Use of a pressure-weighted interpolation method for the solution of incompressible Navier - Stokes equations on a non-staggered grid system', Numer. Heat Trans., 14, 213-233 (1988).
7. D. Lee and J.J. Chiu, 'Covariant velocity-based calculation procedure with nonstaggered grids for computation of pulsatile flows', Numer. Heat Trans. Part B, 21, 269-286 (1992).
8. P. Tamamidis and D.N. Assanis, 'Prediction of three-dimensional steady incompressible flows using body-fitted coordinates', ASME J. Fluids Eng., 115, 457-462 (1993).
9. M.C. Melaaen, 'Calculation of fluid flows with staggered and nonstaggered curvilinear nonorthogonal grids - the theory', Numer. Heat Trans. Part B, 21, 1-19 (1992).
10. M. Peric, 'Analysis of pressure-velocity coupling on nonorthogonal grids', Numer. Heat Trans. Part B, 17, 63-82 (1990).
11. M.J. Cho and M.K. Chung, 'New treatment of nonorthogonal terms in the pressure correction equation', Numer. Heat Trans. Part B, 26, 133-145 (1994).
12. H. Xu and C. Zhang, 'Study of the effect of the non-orthogonality for non-staggered grids - the results', Int. j. numer, methods fluids, submitted.
13. S.V. Patankar and D.B. Spalding, 'A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows', Int. J. Heat Mass Trans., 15, 1787-1806 (1972).
14. J.P. Van Doormaal and G.D. Raithby, 'Enhancements of the SIMPLE method for predicting incompressible fluid flows', Numer. Heat Trans., 7, 147-163 (1984).
15. S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC, 1980.