Simple improvement of momentum interpolation equation for navier-stoke equation solver on unstructured grid

Journal of Mathematics and Statistics

Volumn 6, Issue 3, 2010, Pages 265-270

  Tasri, Adek ^a  

^a ANDALAS UNIVERSITY   (Indonesia)

Author keywords

Finite volume; Momentum interpolation; Unstructured mesh

Indexed keywords

EID: 77956814698     PISSN: 15493644     EISSN: None     Source Type: Journal    
DOI: 10.3844/jmssp.2010.265.270     Document Type: Article

References (12)

1. Choi, S.K., 1999. Note on the use of momentum interpolation method for unsteady flows. Numer. Heat Trans. A., 36: 545-550. DOI: 10.1080/104077899274679
2. Kovasznay, L.I.G., 1948. Laminar flow behind a two-dimensional grid: Proc. the Cambridge Philosop. Soc., 44: 58-62. DOI: 10.1017/S0305004100023999
3. Majumdar, S., 1988. Role of under-relaxation in momentum interpolation for calculation of flow with non staggered grids. Numer. Heat Trans., 13: 125-132. DOI: 10.1080/10407788808913607
4. Mathur, S.R., J.Y. Murthy, 1997. A pressure based methods for unstructured meshes. Numer. Heat Trans. Part B., 31: 195-215. DOI: 10.1080/10407799708915105
5. Miller, T.F and W. Schmidt, 1988. Use of a pressure-weighted interpolation method for the solution of incompressible Navier-stokes equations on a non staggered grids system: Numer. Heat Trans., 14: 213-233. DOI: 10.1080/10407788808913641
6. Nie, J.H., Z.Y. Li, Q.W. Wang and W.Q. Tao, 2000. A method for viscous incompressible flows with simplified collocated grid system. Proceeding of the 21st Century Symposium on Energy Engineering in the 21st Century, Jan. 9-13, Institute of Thermal Engineering, Hong Kong, pp: 177-183.
7. Papageorgakopoulos, J., G. Arampatzis, D. Assimacopoulos and N.C. Markatos, 2000. Enhancement of the momentum interpolation method on non-staggered grids. Int. J. Numer. Methods Fluids, 33: 1-2. DOI: 10.1002/(SICI)1097-0363(20000515)33:1<1::AID- FLD978>3.3.CO;2-S
8. Patankar, S.V., 1980. Numerical Heat Transfer and Fluid Flow. 1st Edn., Taylor and Francis, New York, ISBN 10: 0891165223, pp: 214.
9. Rhie, C.M. and W.L. Chow, 1983. Numerical study of the turbulent flow past an air foil with trailing edge separation. AIAAJ, 21: 1525-1532. DOI: 10.2514/3.8284
10. Spalding, D.B., 1980. A mathematical modeling of fluid dynamics, heat transfer and mass transfer processes. Imperial College.
11. Yu, B. and Y. Kawaguchi, 2002. Checkerboard pressure prediction due to the under relaxation factor and time step size for non staggered grid with momentum interpolation method: Numerical Heat Trans. Part B., 41: 85-94. DOI: 10.1080/104077902753385027
12. Yu, B., W. Tao, J. Wei, Y. Kawaguchi and T. Tagawa et al., 2002. Discussion on momentum interpolation methods for collocated grids of incompressible flow. Numer. Heat Trans. Part B., 42: 141-166. DOI: 10.1080/10407790190053879