Analysis of SIMPLE algorithm for depth averaged simulations

Environmental Hydraulics - Proceedings of the 6th International Symposium on Environmental Hydraulics

Volumn 2, Issue , 2010, Pages 967-972

  Moradi Larmaei, M ^a   Mahdi, Tew Fik ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

DEPTH-AVERAGED EQUATIONS; FINITE VOLUME; INTERPOLATION TECHNIQUES; NUMERICAL OSCILLATION; PRESSURE FIELD; SIMPLE ALGORITHM; WATER SURFACE ELEVATIONS;

DATA STRUCTURES; HYDRAULICS; INTERPOLATION; REYNOLDS NUMBER;

ALGORITHMS;

EID: 84860246234     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. Acharya, S., Baliga, B. R., Karki, K., Murthy, J. Y., Prakash, C. & Vanka, S. P. 2007. Pressure-based finitevolume methods in computational fluid dynamics. Journal of Heat Transfer. 129(4): 407-424.
2. Bennett, S. J., Wu, W., Alonso, C. V. & Wang, S. S. Y. 2008. Modeling fluvial response to in-stream woody vegetation: Implications for stream corridor restoration. Earth Surface Processes and Landforms. 33(6): 890-909.
3. Date, A. W. 1996. Complete pressure correction algorithm for solution of incompressible Navier-Stokes equations on a nonstaggered grid. Numerical Heat Transfer, Part B: Fundamentals. 29(25): 441-458.
4. Date, A. W. 2003. Fluid dynamical view of pressure checkerboarding problem and smoothing pressure correction on meshes with colocated variables. International Journal of Heat and Mass Transfer. 46(25): 4885-4898.
5. Davidson, L. 1996. A pressure correction method for unstructured meshes with arbitrary control volumes. International Journal for Numerical Methods in Fluids. 22(4): 265-281.
6. Ferziger, J. H. & Peric, M. 1996. Computational methods for fluid dynamics. Berlin, Germany: Springer.
7. Ghia, U., Ghia, K. N. & Shin, C. T. 1982. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Journal of Computational Physics. 48(3): 387-411.
8. Ketabdari, M. J., Nobari, M. R. H. & Moradi Larmaei, M. 2008. Simulation of waves group propagation and breaking in coastal zone using a Navier-Stokes solver with an improved VOF free surface treatment. Applied Ocean Research. 30(2): 130-143.
9. Minh Duc, B. 1998. Berechnung der stroemung und des sedimenttransorts in fluessen mit einem tieffengemittelten numerischen verfahren, The University of Karlsruhe, Karlsruhe, Germany.
10. Nobari, M. R. H., Ketabdari, M. J. & Moradi, M. 2009. A modified volume of fluid advection method for uniform Cartesian grids. Applied Mathematical Modelling. 33(5): 2298-2310.
11. Rhie, C. M. & Chow, W. L. 1983. Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA Journal. 21(11): 1525-1532.
12. Versteeg, H. K. & Malalasekera,W. 1995. An introduction to computational fluid dynamics : the finite volume method. Toronto: Pearson Prentice Hall.
13. Wu,W. 2004. Depth-averaged two-dimensional numerical modeling of unsteady flowand nonuniformsediment transport in open channels. Journal of Hydraulic Engineering. 130(10): 1013-1024.
14. Wu, W., Shields Jr, F. D., Bennett, S. J. & Wang, S. S.Y. 2005. A depth-averaged two-dimensional model for flow, sediment transport, and bed topography in curved channels with riparian vegetation.Water Resources Research. 41(3): W03015.
15. Wu, W. & Wang, S. S. Y. 2004. Depth-averaged 2-D calculation of flow and sediment transport in curved channels. International Journal of Sediment Research. 19(4): 241-257.