Simulation of flow in compound open-channel using a discontinuous Galerkin finite-element method with Smagorinsky turbulence closure

Journal of Hydro-Environment Research - Tập 8 - Trang 396-409 - 2014
Chien Pham Van1,2, Eric Deleersnijder3,4, Didier Bousmar5, Sandra Soares-Frazão1
1Institute of Mechanics, Materials and Civil Engineering (iMMC), Université Catholique de Louvain, Place du Levant 1, B-1348 Louvain-la-Neuve, Belgium
2Faculty of Hydrology and Water Resource, Water Resources University, Tayson 175, Dongda District, Hanoi, Viet Nam
3Institute of Mechanics, Materials and Civil Engineering (iMMC), Université Catholique de Louvain, Avenue Georges Lemaître 4, B-1348 Louvain-la-Neuve, Belgium
4Georges Lemaître Centre for Earth and Climate Research (TECLIM), Earth and Life Institute (ELI), Université Catholique de Louvain, Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium
5Hydraulic Research Laboratory, Service Public de Wallonie, Rue de l'Abattoir 164, 6200 Châtelet, Belgium

Tài liệu tham khảo

Bernard, 2007, High-order h-adaptive discontinuous Galerkin methods for ocean modeling, Ocean Dyn., 57, 109, 10.1007/s10236-006-0093-y Bousmar, 2005, Upstream discharge distribution in compound-channel flumes, J. Hydraul. Eng., 131, 408, 10.1061/(ASCE)0733-9429(2005)131:5(408) Comblen, 2010, Practical evaluation of five partly discontinuous finite element pairs for the non-conservative shallow water equations, Int. J. Numer. Methods Fluids, 63, 701 Darby, 1996, Predicting stage-discharge curves in channels with bank vegetation, J. Hydraul. Eng., 122, 583, 10.1061/(ASCE)0733-9429(1996)122:10(583) de Brye, 2010, A finite-element, multi-scale model of the Scheldt tributaries, river, estuary and ROFI, Coast. Eng., 57, 850, 10.1016/j.coastaleng.2010.04.001 de Brye, 2011, Preliminary results of a finite-element, multi-scale model of the Mahakam Delta (Indonesia), Ocean Dyn., 61, 1107, 10.1007/s10236-011-0410-y Ervine, 2000, Two-dimensional solution for straight and meandering overbank flows, J. Hydraul. Eng., 126, 653, 10.1061/(ASCE)0733-9429(2000)126:9(653) Fraselle, 2010 Geuzaine, 2009, GMSH: a finite element mesh generator with built-in pre-and post-processing facilities, Int. J. Numer. Method Eng., 79, 1309, 10.1002/nme.2579 Joung, 2008, Investigation of twin vortices near the interface in turbulent compound open-channel flows using DNS data, J. Hydraul. Eng., 134, 1744, 10.1061/(ASCE)0733-9429(2008)134:12(1744) Kärnä, 2011, A fully implicit wetting–drying method for DG-FEM shallow water models, with an application to the Scheldt Estuary, Comput. Methods Appl. Mech. Eng., 200, 509, 10.1016/j.cma.2010.07.001 Keller, 1988, Prediction of flow characteristics in main channel/flood plain flows, J. Hydraul. Res., 26, 425, 10.1080/00221688809499202 Kuzmin, 2006, On the implementation of the k-ɛ turbulence model in incompressible flow solvers based on a finite element discretization, 1 Lambrechts, 2008, Multiscale mesh generation on the sphere, Ocean Dyn., 58, 461, 10.1007/s10236-008-0148-3 Lambrechts, 2008, A multi-scale model of the hydrodynamics of the whole Great Barrier Reef, Estuar. Coast. Shelf Sci., 79, 143, 10.1016/j.ecss.2008.03.016 Launder, 1974, The numerical computation of turbulent flow, Comput. Method Appl. Mech. Eng., 3, 264, 10.1016/0045-7825(74)90029-2 Madsen, 1988, Subgrid modelling in depth integrated flows, 505 Nadaoka, 1998, Shallow-water turbulence modeling and horizontal large-eddy computation of river flow, J. Hydraul. Eng., 124, 493, 10.1061/(ASCE)0733-9429(1998)124:5(493) Nasermoaddeli, 2010, Modelling of undercutting and failure of non-cohesive river banks, 1323 Pasche, 1985, Flow in compound channels with extreme flood plain roughness, 384 Peyret, 1983 Pope, 2000 Radojkovic, 1985, Computation of discharge distribution in compound channels, 367 Rajaratnam, 1981, Hydraulics of channels with flood-plains, J. Hydraul. Res., 19, 43, 10.1080/00221688109499530 Rastogi, 1978, Predictions of heat and mass transfer in open channels, J. Hydraul. Div., 104, 397, 10.1061/JYCEAJ.0004962 Rodi, 1980 Sellin, 1964, A laboratory investigation into the interaction between the flow in the channel of a river and that over its flood plain, Houille Blanche, 7, 793, 10.1051/lhb/1964044 Shiono, 1991, Turbulent open channel flows with variable depth across the channel, J. Fluid Mech., 222, 617, 10.1017/S0022112091001246 Smagorinsky, 1963, General circulation experiments with the primitive equations, Mon. Weather Rev., 91, 99, 10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2 Smith, 1977 Sung-Uk, 2010, Impact of floodplain vegetation on the morphological change in the straight compound open-channel flow, 2217 Vionnet, 2004, Estimates of flow resistance and eddy viscosity coefficients for 2D modelling on vegetated floodplains, Hydrol. Process., 18, 2907, 10.1002/hyp.5596 Vreugdenhil, 1982, Computation of flow patterns in rivers, J. Hydraul. Div., 108, 1296, 10.1061/JYCEAJ.0005934 Wark, 1990, A practical method of estimating velocity and discharge in a compound channel, 163 Wilson, 2002, Comparison of turbulence models for stage-discharge rating curve prediction in reach-scale compound channel flows using two-dimensional finite element methods, J. Hydrol., 257, 42, 10.1016/S0022-1694(01)00553-4 Wormleaton, 1988, Determination of discharge in compound channels using the dynamic equation for lateral velocity distribution, 98 Zeng, 2012, Application of analytical solutions in trapezoidal compound channel flow, River Res. Appl., 28, 53, 10.1002/rra.1433