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One\u2010dimensional and two\u2010dimensional motion of a shallow flow over a rigid inclined bed is considered. The resulting shallow water equations are solved by finite volumes using the Roe and HLL schemes. At first, the one\u2010dimensional model is considered in the development process. With conservative finite volume method, splitting is applied to manage the combination of hyperbolic term and source term of the shallow water equation and then to promote 1D to 2D. The simulations are validated by the comparison with flume experiments. Unsteady dam\u2010break flow movement is found to be reasonably well captured by the model. The proposed concept could be further developed to the numerical calculation of non\u2010Newtonian fluid or multilayers fluid flow.<\/jats:p>","DOI":"10.1155\/2012\/489269","type":"journal-article","created":{"date-parts":[[2012,4,25]],"date-time":"2012-04-25T00:16:07Z","timestamp":1335312967000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["1D and 2D Numerical Modeling for Solving Dam\u2010Break Flow Problems Using Finite Volume Method"],"prefix":"10.1155","volume":"2012","author":[{"given":"Szu-Hsien","family":"Peng","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,4,24]]},"reference":[{"key":"e_1_2_6_1_2","first-page":"299","article-title":"Failure mechanism and disaster mitigation on landslide-dammed lakes","volume":"30","author":"Chen S. 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