Wang, Zhili; Geng, Yanfen; Jin, Sheng An unstructured finite volume algorithm for nonlinear two-dimensional shallow water equation. (English) Zbl 1207.76097 J. Hydrodyn., Ser. B 17, No. 3, 306-312 (2005). Summary: An unstructured finite volume numerical algorithm was presented for solution of the two-dimensional shallow water equations, based on triangular or arbitrary quadri-lateral meshes. The Roe type approximate Riemann solver was used to the system. A second-order TVD scheme with the van Leer limiter was used in the space discretization and a two-step Runge-Kutta approach was used in the time discretization. An upwind, as opposed to a pointwise, treatment of the slope source terms was adopted and the semi-implicit treatment was used for the friction source terms. Verification for two-dimension dam-break problems are carried out by comparing the present results with others and very good agreement is shown. Cited in 1 Document MSC: 76M12 Finite volume methods applied to problems in fluid mechanics 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction Keywords:shallow water equation; dam break; Riemann solver; finite-volume method; source terms PDF BibTeX XML Cite \textit{Z. Wang} et al., J. Hydrodyn., Ser. B 17, No. 3, 306--312 (2005; Zbl 1207.76097)