Cartesian Cut Cell Two-Fluid Solver for Hydraulic Flow Problems

Journal of Hydraulic Engineering

Volumn 129, Issue 9, 2003, Pages 688-696

  Qian, L ^a   Causon, D M ^a   Ingram, D M ^a   Mingham, C G ^a  

^a MANCHESTER METROPOLITAN UNIVERSITY   (United Kingdom)

Author keywords

Air water interactions; Compressibility; Free surface; Water flow

Indexed keywords

AIR; COMPRESSIBILITY; FLOW OF WATER; HYDRAULICS; ITERATIVE METHODS; PHASE INTERFACES; SURFACE WATERS; FLOW OF FLUIDS; INTERFACES (MATERIALS);

AIR WATER INTERACTIONS; CARTESIAN CUT CELL; FLOW PROBLEMS; FREE SURFACES; HYDRAULIC FLOW; INCOMPRESSIBLE EULER EQUATIONS; TEST CASE; TWO-FLUID; VARIABLE DENSITY; WATER FLOWS;

MESH GENERATION; HYDRAULICS;

HYDRAULIC FLOW;

AIR; COMPRESSIBLE FLOW; FLOW MODELING; MATHEMATICAL MODELING; WATER;

EID: 0141613047     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2003)129:9(688)     Document Type: Article

References (19)

1. Beddhu, M., Taylor, L. K., and Whitfield, D. L. (1994). A time accurate calculation procedure for flows with a free surface using a modified artificial compressibility formulation. Appl. Math. Comput., 65, 33-48.
2. Causon, D. M., Ingram, D. M., and Mingham, C. G. (2001). A Cartesian cut cell method for shallow water flows with moving boundaries. Adv. Water Resour., 24, 899-911.
3. Causon, D. M., Ingram, D. M., Mingham, C. G., Yang, G., and Pearson, R. V. (2000). Calculation of shallow water flows using a Cartesian cut cell approach. Adv. Water Resour., 23, 545-562.
4. Chadwick, A., and Morfett, J. (1998). Hydaulics in civil and environmental engineering, 3rd Ed., E&FN Spon, London, 203-263.
5. Chorin, A. J. (1967). A numerical method for solving incompressible viscous flow problems. J. Comput. Phys., 2, 12-26.
6. Farm, J., Martinelli, L., and Jameson, A. (1994). Fast multigrid method for solving incompressible hydrodynamic problems with free surfaces. AIAA J., 32, 1175-1182.
7. Glimm, J., Grove, J., Lingquist, B., McBryan, O. A., and Tryggyason, G. (1988). The bifurcation of tracked scalar waves. SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput., 9(1), 61-79.
8. Hirt, C. W., and Nichols, B. D. (1981). Volume of fluid (VOF) method for dynamics of free boundaries. J. Comput. Phys., 39, 201-225.
9. Kelecy, F. J., and Pletcher, R. H. (1997). The development of a free surface capturing approach for multidimensional free surface flows in closed containers. J. Comput. Phys., 138, 939-980.
10. Koshizuka, S., Tamako, H., and Oka, Y. (1995). A particle method for incompressible viscous flows with fluid fragmentation. Comput. Fluid Dyn. J., 4(1), 29-46.
11. Lafaurie, B., Nardone, C, Scardovelli, R., Zaleski, S., and Zanetti, G. (1994). Modelling merging and fragmentation in multiphase flows with SURFER. J. Comput. Phys., 113, 134-147.
12. Martin, J. C, and Moyce, W. J. (1952). An experimental study of the collapse of liquid column on a rigid horizontal plane. Philos. Trans. R. Soc. London, Ser A, 244, 312-324.
13. Müller, G., and Whittaker, T. J. T. (1995). Visualization of flow conditions inside a shoreline wave power station. Ocean Eng., 22(6), 629-641.
14. Pan, D., and Lomax, H. (1988). A new approximate LU factorization scheme for the Navier-Stokes equations. AIAA J., 26, 163-171.
15. Qian L., Causon, D. M., Ingram, D. M., Mingham, C. G., and Zhou, J. G. (2001). A Cartesian cut cell method for incompressible viscous flows. Proc, European Community on Computational Methods in Applied Sciences (ECCOMAS), CFD 2001, Institute of Mathematics and its Applications, Southend-on Sea, U.K.
16. Rogers, S. E., and Kwak, D. (1990). An upwind difference scheme for the time-Accurate incompressible Navier-Stokes equations. AIAA J., 28, 113-134.
17. Soh, W. Y, and Doodrich, J. W. (1988). Unsteady solution of incompressible Navier-Stokes equations. J. Comput. Phys., 79, 113-134.
18. Tadjbakhsh, I., and Keller, J. B. (1960). Standing surface waves of finite amplitude. J. Fluid Mech., 8, 442-451.
19. Youngs, D. L. (1982). Time dependent multi-material flow with large fluid distortion. Numerical methods for fluid dynamics, K. W. Morton and M. J. Baines, eds., Academic Press, London, 273-285.