Numerical boundary conditions for globally mass conservative methods to solve the shallow-water equations and applied to river flow. (English) Zbl 1129.76033
Summary: We present a revision of some well-known discretization techniques for numerical boundary conditions for shallow-water flow models. More recent options are also considered in the search for a fully conservative technique that is able to preserve the good properties of a conservative scheme used for interior points. Two conservative numerical schemes are used as representatives of explicit and implicit numerical methods. The implementation of different boundary options to these schemes is compared by means of simulation of several test cases with exact solution. The schemes with the global conservation boundary discretization are applied to the simulation of a real river flood wave leading to very satisfactory results.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |
| 86A05 | Hydrology, hydrography, oceanography |
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