A depth-integrated model for weakly dispersive, turbulent, and rotational fluid flows

Ocean Modelling

Volumn 27, Issue 3-4, 2009, Pages 198-214

  Kim, Dae Hong ^a   Lynett, Patrick J ^a   Socolofsky, Scott A ^a  

^a Texas AandM University

Author keywords

Boussinesq equations; Finite volume method; Turbulent flow; Vorticity

Indexed keywords

BOTTOM FRICTIONS; BOUSSINESQ EQUATIONS; BOUSSINESQ-TYPE EQUATIONS; FLUID FLOWS; FOURTH ORDERS; GOVERNING EQUATIONS; HORIZONTAL VORTICITIES; INTEGRATED MODELS; LEADING ORDERS; NONLINEAR WAVE PROPAGATION; NUMERICAL ERRORS; NUMERICAL MODELS; PHYSICAL LIMITATIONS; PRIMITIVE EQUATIONS; ROTATIONAL EFFECTS; SECOND-ORDER CORRECTIONS; SHALLOW WATERS; STABLE MODELS; TEST CASE; TVD SCHEMES; UNIFORM FLOWS; VERTICAL VELOCITY DISTRIBUTIONS;

AD HOC NETWORKS; COMPUTATIONAL FLUID DYNAMICS; FINITE VOLUME METHOD; FRICTION; MODELS; NONLINEAR EQUATIONS; NUMERICAL METHODS; TURBULENCE; TURBULENT FLOW; VORTICITY; WAVE PROPAGATION;

MATHEMATICAL MODELS;

BOTTOM FRICTION; BOUSSINESQ EQUATION; CONSTITUTIVE EQUATION; FINITE VOLUME METHOD; NONLINEARITY; NUMERICAL MODEL; SOLITARY WAVE; TURBULENCE; TURBULENT FLOW; VISCOUS FLOW; VORTICITY; WAVE DISPERSION; WAVE PROPAGATION;

EID: 61449212832     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2009.01.005     Document Type: Article

References (26)

1. Carmer, C.F., 2005. Shallow turbulent wake flows: momentum and mass transfer due to large-scale coherent vortical structures, University of Karlsruhe.
2. Chen Q. Fully nonlinear Boussinesq-type equations for waves and currents over porous beds. Journal of Engineering Mechanics, ASCE 132 2 (2006) 220-230
3. Chen D., and Jirka G.H. Experimental study of plane turbulent wakes in a shallow water layer. Fluid Dynamics Research 16 (1995) 11-41
4. Chen Q., Kirby J.T., Dalrymple R.A., Kennedy A.B., and Haller C.M. Boussinesq modeling of a rip current system. Journal of Geophysical Research 104 c6 (1999) 20617-20637
5. Chen Q., Kirby J.T., Dalrymple R.A., Shi F., and Thornton E.B. Boussinesq modeling of longshore currents. Journal of Geophysical Research-Oceans 108 c11 (2003) 3362-3380
6. Dellar P.J., and Salmon R. Shallow water equations with a complete Coriolis force and topography. Physics of Fluids 17 10 (2005)
7. Elder J.W. The dispersion of marked fluid in turbulent shear flow. Journal of Fluid Mechanics 5 (1959) 544560
8. Erduran K.S., Ilic S., and Kutija V. Hybrid finite-volume finite-difference scheme for the solution of Boussinesq equations. International Journal for Numerical Methods in Fluid 49 (2005) 1213-1232
9. French R.H. Open-Channel Hydraulics (1994), McGraw-Hill, New York
10. Haaland S.E. Simple and explicit formulars for the friction factor in turbulent pipe flow. Journal of Fluid Engineering (1983) 89-90
11. Hinterberger C., Frohlich J., and Rodi W. Three-dimensional and depth-averaged large-eddy simulations of some shallow water flows. Journal of Hydraulic Engineering, ASCE 133 8 (2007) 857-872
12. Hsiao S.C., Liu P.L.F., and Chen Y. Nonlinear water waves propagating over a permeable bed. Proceedings of the Royal Society A 458 (2002) 1291-1322
13. Kim D.H., Cho Y.S., and Kim H.J. Well balanced scheme between flux and source terms for computation of shallow-water equations over irregular bathymetry. Journal of Engineering Mechanics, ASCE 134 4 (2008) 277-290
14. Lacor C.A., Smirnov S.A., and Baelmans M. A finite volume formulation of compact central schemes on arbitrary structured grids. Journal of Computational Physics 198 (2004) 535-566
15. Lloyd P.M., and Stansby P.K. Shallow water flow around model conical island of small slope. II: Submerged. Journal of Hydraulic Engineering, ASCE 123 12 (1997) 1068-1077
16. Musumeci R.E., Svendsen I.A., and Veeramony J. The flow in the surf zone: a fully nonlinear Boussinesq-type of approach. Coastal Engineering 52 (2005) 565-598
17. Nicolau, R.F., 2007. Laboratory studies of eddy structures and exchange processes through tidal inlets. Texas A&M University.
18. Nwogu O. Alternative form of Boussinesq equations for nearshore wave propagation. Journal of Waterway, port, Coastal, and Ocean Engineering 119 6 (1993) 618-638
19. Peregrine D.H. Long waves on a beach. Journal of Fluid Mechanics 27 (1967) 815-827
20. Rodi, W., 1980. Turbulence models and their application in hydraulics - a state of the art review. IAHR.
21. Smagorinsky J. General circulation experiments with primitive equations, I. the basic experiment. Monthly Weather Review 91 (1963) 99-164
22. Toro E.F. Shock-capturing Methods for Free-Surface Shallow Flows (2002), Wiley, New York
23. Wang X., Wang. Z., Yu M., and Li D. Velocity profile of sediment suspensions and comparison of log-law and wake-law. Journal of Hydraulic Research 39 2 (2001) 211-217
24. Wei G., Kirby J.T., Grill S.T., and Subramanya R. A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves. Journal of Fluid Mechanics 294 (1995) 71-92
25. Yamamoto S., and Daiguji H. Higher-order-accurate upwind schemes for solving the compressible Euler and Navier-Stokes equations. Computers and Fluids 22 2/3 (1993) 259-270
26. Zhou J.G., Causon D.M., Mingham C.G., and Ingram D.M. The surface gradient method for the treatment of source terms in the shallow water equations. Journal of Computational Physics 168 (2001) 1-25