An unstructured finite-volume algorithm for predicting flow in rivers and estuaries.

*(English)*Zbl 0964.76051From the summary: A numerical algorithm is presented for the solution of geometrically challenging two-dimensional river and estuary flows, based on an adaptive triangular tessellation of the flow domains of interest. The governing shallow water equations are discretised using a finite volume approach embodying variable step time integrators, to yield a method that is second order accurate in both space and time. An approximate Riemann solver is used to determine flow directionality in conjunction with an effective means of dealing with wetting and drying at the boundaries.

##### MSC:

76M12 | Finite volume methods applied to problems in fluid mechanics |

76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |

86A05 | Hydrology, hydrography, oceanography |

##### Keywords:

super-sub-critical flow; wetting; river flows; driving; estuary flows; adaptive triangular tessellation; shallow water equations; finite volume approach; variable step time integrators; approximate Riemann solver
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\textit{P. A. Sleigh} et al., Comput. Fluids 27, No. 4, 479--508 (1998; Zbl 0964.76051)

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##### References:

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