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.

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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