Articles

Calculation of cell face velocity of non-staggered grid system

Expand
  • 1. Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing 102249, P. R. China;
    2. Computational Transport Phenomena Laboratory, Division of Physical Science and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Kingdom of Saudi Arabia

Received date: 2011-11-28

  Revised date: 2012-03-31

  Online published: 2012-08-10

Supported by

Project supported by the National Natural Science Foundation of China (Nos. 51176204 and 51134006)

Abstract

In this paper, the cell face velocities in the discretization of the continu- ity equation, the momentum equation, and the scalar equation of a non-staggered grid system are calculated and discussed. Both the momentum interpolation and the linear interpolation are adopted to evaluate the coefficients in the discretized momentum and scalar equations. Their performances are compared. When the linear interpolation is used to calculate the coefficients, the mass residual term in the coefficients must be dropped to maintain the accuracy and convergence rate of the solution.

Cite this article

Wang LI;Bo YU;Xin-ran WANG;Shu-yu SUN . Calculation of cell face velocity of non-staggered grid system[J]. Applied Mathematics and Mechanics, 2012 , 33(8) : 991 -1000 . DOI: 10.1007/s10483-012-1600-6

References

[1] Rhie, C. M. and Chow, W. L. A numerical study of the turbulent flow past an isolated airfoil withtrailing edge separation. AIAA Journal, 21(11), 1525-1552 (1983)
[2] Peric, M. A Finite Volume Method for the Prediction of Three-Dimensional Fluid Flow in ComplexDucts, Ph.D. dissertation, University of London, UK (1985)
[3] Majumdar, S. Development of a Finite-Volume Procedure for Prediction of Fluid Flow Problemswith Complex Irregular Boundaries, SFB-210/T-29, University of Karlsruhe, Germany (1986)
[4] Peric, M., Kessler, R., and Scheuerer, G. Comparison of finite-volume numerical methods withstaggered and collocated grids. Computers and Fluids, 16(4), 389-403 (1988)
[5] Majumdar, S. Role of underrelaxation in momentum interpolation for calculation of flow withnon-staggered grids. Numerical Heat Transfer, Part B, 13(1), 125-132 (1988)
[6] Rahman, M. M., Miettinen, A., and Siikonen, T. Modified simple formulation on a collocated gridwith an assessment of the simplified QUICK scheme. Numerical Heat Transfer, Part B, 30(3),291-314 (1996)
[7] Choi, S. K. Note on the use of momentum interpolation method for unsteady flows. NumericalHeat Transfer, Part A, 36(5), 545-550 (1999)
[8] Barton, I. E. and Kirby, R. Finite difference scheme for the solution of fluid flow problems on non-staggered grids. International Journal of Numerical Methods in Fluids, 33(7), 939-959 (2000)
[9] Yu, B., Kawaguchi, Y., Tao, W. Q., and Ozoe, H. Checkerboard pressure predictions due to theunder-relaxation factor and time step size for a nonstaggered grid with momentum interpolationmethod. Numerical Heat Transfer, Part B, 41(1), 85-94 (2002)
[10] Yu, B., Tao, W. Q.,Wei, J. J., Kawaguchi, Y., Tagawa, T., and Ozoe, H. Discussion on momentuminterpolation method for collocated grids of incompressible flow. Numerical Heat Transfer, PartB, 42(2), 141-166 (2002)
[11] Date, A. W. Solution of Navier-Stokes equations on non-staggered at all speeds. InternationalJournal of Heat and Mass Transfer, 36(4), 1913-1922 (1993)
[12] Date, A. W. Complete pressure correction algorithm for solution of incompressible Navier-Stokesequations on a non-staggered grid. Numerical Heat Transfer, Part B, 29(4), 441-458 (1996)
[13] Wang, Q. W., Wei, J. G., and Tao, W. Q. An improved numerical algorithm for solution ofconvective heat transfer problems on non-staggered grid system. Heat and Mass Transfer, 33(4),273-288 (1998)
[14] Nie, J. H., Li, Z. Y., Wang, Q. W., and Tao, W. Q. A method for viscous incompressible flowswith simplified collocated grid system. Proceedings of Symposium on Energy and Engineering inthe 21st Century, 1, 177-183 (2000)
[15] Leonard, B. P. A stable and accurate convective modeling procedure based on quadratic upstreaminterpolation. Computer Methods in Applied Mechanics and Engineering, 19(1), 59-98 (1979)
[16] Khosla, P. K. and Rubin, S. G. A diagonally dominant second-order accurate implicit scheme.Computers and Fluids, 2(2), 207-218 (1974)
[17] Botella, O. and Peyret, R. Benchmark spectral results on the lid-driven cavity flow. Computersand Fluids, 27(4), 421-433 (1998)

Outlines

/

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals