May 1, 2013 · It presents a straightforward method for obtaining a well-balanced scheme for the shallow water system based on a numerical flux for the ...
Oct 23, 2012 · We compare some first order well-balanced numerical schemes for shallow water system with special interest in applications where there are abrupt variations of ...
Reliability of first order numerical schemes for solving shallow water system over abrupt topography. T. de Luna, M. Díaz, and C. Parés.
Reliability of first order numerical schemes for solving shallow water system over abrupt topography (Q2453298). From MaRDI portal.
Jun 14, 2020 · We introduce a modified HR method to cope with this numerical difficulty. The new scheme is well-balanced for still water solutions and can ...
Apr 2, 2020 · ... Reliability of first order numerical schemes for solving shallow water system over abrupt topography. Appl. Math. Comput. 219(17), 9012–9032 ...
Aug 6, 2022 · Various numerical tests are presented to evaluate the proposed method's performance in terms of high-order accuracy, well-balanced, positivity- ...
Various numerical methods have been developed for solving the shallow water equations modeling flows over variable bottom topography [34,35,36,37, 38, 39].
May 25, 2023 · This paper presents a new sub-grid flood inundation model obtained by upscaling the shallow water equations (SWE) to enhance the model efficiency in large- ...
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Still, the first order scheme is useful because it offers fast simulations and reasonable results at higher resolutions. The best trade-off between accuracy and ...