Development and testing of a simple 2D finite volume model of sub-critical shallow water flow Export

@article{citeulike:2056938, abstract = {Many environmental applications of shallow water flow modelling can be characterized as only slowly varying and everywhere sub-critical. A simplified finite volume model is therefore developed that is capable of describing pertinent shallow water flow processes more efficiently than the usual Godunov/ Riemann characteristics approaches. The model is tested against a number of analytical and numerical solutions to the governing equations. The model reproduces accurately flow round a circular bend, flow over topography, flow up an initially dry beach and floodwave propagation down a meandering river reach, with mass conservative solutions. Copyright {\copyright} 2004 John Wiley \& Sons, Ltd.}, address = {School of Geographical Sciences, University of Bristol, University Road, BS8 1SS Bristol, U.K.}, author = {Horritt, Matthew}, citeulike-article-id = {2056938}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/fld.684}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/107637994/ABSTRACT}, doi = {10.1002/fld.684}, journal = {International Journal for Numerical Methods in Fluids}, keywords = {finite-volume, hydrology, numerics}, number = {11}, pages = {1231--1255}, posted-at = {2007-12-04 12:39:51}, priority = {2}, title = {Development and testing of a simple 2D finite volume model of sub-critical shallow water flow}, url = {http://dx.doi.org/10.1002/fld.684}, volume = {44}, year = {2004} }

TY - JOUR ID - citeulike:2056938 L3 - citeulike-article-id:2056938 N2 - Many environmental applications of shallow water flow modelling can be characterized as only slowly varying and everywhere sub-critical. A simplified finite volume model is therefore developed that is capable of describing pertinent shallow water flow processes more efficiently than the usual Godunov/ Riemann characteristics approaches. The model is tested against a number of analytical and numerical solutions to the governing equations. The model reproduces accurately flow round a circular bend, flow over topography, flow up an initially dry beach and floodwave propagation down a meandering river reach, with mass conservative solutions. Copyright © 2004 John Wiley & Sons, Ltd. IS - 11 JF - International Journal for Numerical Methods in Fluids AD - School of Geographical Sciences, University of Bristol, University Road, BS8 1SS Bristol, U.K. EP - 1255 TI - Development and testing of a simple 2D finite volume model of sub-critical shallow water flow VL - 44 SP - 1231 KW - finite-volume KW - hydrology KW - numerics AU - Horritt, Matthew PY - 2004/// UR - http://dx.doi.org/10.1002/fld.684 ER -