High-order well-balanced numerical schemes for one-dimensional shallow-water systems with Coriolis terms

González Tabernero, Víctor; Castro, M.J.; García Rodríguez, José Antonio

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http://hdl.handle.net/2183/38184

High-order well-balanced numerical schemes for one-dimensional shallow-water systems with Coriolis terms

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GonzalezTabernero_Victor_2024_High-order_well-balanced_numerical_schemes.pdf (1.42 MB)

Identifiers

URI: http://hdl.handle.net/2183/38184

Publication date

2024-05-15

Authors

González Tabernero, Víctor

Castro, M.J.

García Rodríguez, José Antonio

Bibliographic citation

V. González Tabernero, M. J. Castro, y J. A. García-Rodríguez, «High-order well-balanced numerical schemes for one-dimensional shallow-water systems with Coriolis terms», Applied Mathematics and Computation, vol. 469, p. 128528, may 2024, doi: 10.1016/j.amc.2023.128528.

Abstract

[Absctract]: The goal of this work is to develop high-order well-balanced schemes for the one-dimensional shallow-water equations with Coriolis terms. The main contribution is the development of general numerical methods that allow the achievement of arbitrary high-order for the shallow-water equations with Coriolis terms while preserving all the stationary solutions.