Adaptive central-upwind scheme on triangular grids for the Saint–Venant system
نویسندگان
چکیده
In this work, we develop a robust adaptive well-balanced and positivity-preserving central-upwind scheme on unstructured triangular grids for shallow water equations. The numerical method is an extension of the from [{\sc Liu {\em et al.}},J. Comp. Phys, 374 (2018), pp. 213 - 236]. As part algorithm, obtain local posteriori error estimator efficient mesh refinement strategy. accuracy, high-resolution, efficiency new are demonstrated number challenging tests models.
منابع مشابه
Well-Balanced Positivity Preserving Central-Upwind Scheme on Triangular Grids for the Saint-Venant System
We introduce a new second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids. We prove that the scheme both preserves stationary steady states (lake at rest) and guarantees the positivity of the computed fluid depth. Moreover, it can be applied to models with discontinuous bottom topography and irregular channel widths. We demonstrate these fe...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2023
ISSN: ['1539-6746', '1945-0796']
DOI: https://doi.org/10.4310/cms.2023.v21.n3.a4