Published November 15, 2020 | Version v1
Software Open

Software for: Steady States and Well-balanced Schemes for Shallow Water Moment Equations with Topography

Authors/Creators

  • 1. Department of Computer Science, KU Leuven
  • 2. Dpto. Analisis Matematico. Universidad de Malaga, 14071 Malaga, Spain

Description

We investigate steady states of shallow water moment equations including bottom topographies. We derive a new hyperbolic shallow water moment model based on linearized moment equations that allows for a simple assessment of the steady states. After proving hyperbolicity of the new model, the steady states are fully identified. A well-balanced scheme is adopted to the specific structure of the new model and allows to preserve the steady states in numerical simulations.

This set includes the implementation to produce the results in the paper. Language: C/C++.

Notes

This research has been partially supported by the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement no. 888596. J. Koellermeier is a postdoctoral fellow in fundamental research of the Research Foundation - Flanders (FWO), funded by FWO grant no. 0880.212.840. Ernesto Pimentel acknowledges financial support from the Spanish Government-FEDER funded project MEGAFLOW (RTI2018-096064-B-C21), the Junta de Andalucia-FEDER-University of Málaga funded project UMA18-Federja-161.

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