A bore-capturing finite volume method for open-channel flows Export

@article{citeulike:3797033, abstract = {A high-resolution finite volume hydrodynamic solver is presented for open-channel flows based on the 2D shallow water equations. This Godunov-type upwind scheme uses an efficient Harten-Lax-van Leer (HLL) approximate Riemann solver capable of capturing bore waves and simulating supercritical flows. Second-order accuracy is achieved by means of MUSCL reconstruction in conjunction with a Hancock two-stage scheme for the time integration. By using a finite volume approach, the computational grid can be irregular which allows for easy boundary fitting. The method can be applied directly to model 1D flows in an open channel with a rectangular cross-section without the need to modify the scheme. Such a modification is normally required for solving the 1D St Venant equations to take account of the variation of channel width. The numerical scheme and results of three test problems are presented in this paper. {\copyright} 1998 John Wiley \& Sons, Ltd.}, address = {Posford Duvivier, Bretton Centre, Peterborough PE3 8DW, UK; Centre for Mathematical Modelling and Flow Analysis, The Manchester Metropolitan University, Chester Street, Manchester M1 5GD, UK}, author = {Hu, K. and Mingham, C. G. and Causon, D. M.}, citeulike-article-id = {3797033}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/(SICI)1097-0363(19981130)28:8%3C1241::AID-FLD772%3E3.0.CO;2-2}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/5001708/ABSTRACT}, doi = {10.1002/(SICI)1097-0363(19981130)28:8%3C1241::AID-FLD772%3E3.0.CO;2-2}, journal = {International Journal for Numerical Methods in Fluids}, keywords = {channel-flow, numerical-methods}, number = {8}, pages = {1241--1261}, posted-at = {2008-12-16 14:34:33}, priority = {2}, title = {A bore-capturing finite volume method for open-channel flows}, url = {http://dx.doi.org/10.1002/(SICI)1097-0363(19981130)28:8%3C1241::AID-FLD772%3E3.0.CO;2-2}, volume = {28}, year = {1998} }

TY - JOUR ID - citeulike:3797033 L3 - citeulike-article-id:3797033 N2 - A high-resolution finite volume hydrodynamic solver is presented for open-channel flows based on the 2D shallow water equations. This Godunov-type upwind scheme uses an efficient Harten-Lax-van Leer (HLL) approximate Riemann solver capable of capturing bore waves and simulating supercritical flows. Second-order accuracy is achieved by means of MUSCL reconstruction in conjunction with a Hancock two-stage scheme for the time integration. By using a finite volume approach, the computational grid can be irregular which allows for easy boundary fitting. The method can be applied directly to model 1D flows in an open channel with a rectangular cross-section without the need to modify the scheme. Such a modification is normally required for solving the 1D St Venant equations to take account of the variation of channel width. The numerical scheme and results of three test problems are presented in this paper. © 1998 John Wiley & Sons, Ltd. IS - 8 JF - International Journal for Numerical Methods in Fluids AD - Posford Duvivier, Bretton Centre, Peterborough PE3 8DW, UK; Centre for Mathematical Modelling and Flow Analysis, The Manchester Metropolitan University, Chester Street, Manchester M1 5GD, UK EP - 1261 TI - A bore-capturing finite volume method for open-channel flows VL - 28 SP - 1241 KW - channel-flow KW - numerical-methods AU - Hu, K AU - Mingham, CG AU - Causon, DM PY - 1998/// UR - http://dx.doi.org/10.1002/(SICI)1097-0363(19981130)28:8%3C1241::AID-FLD772%3E3.0.CO;2-2 ER -