Research Article
A Modified Lax-Friedrichs Method for the Shallow Water Equations
@INPROCEEDINGS{10.4108/eai.12-10-2019.2296327, author={Kartika Yulianti and Rini Marwati and Suci Permatahati}, title={A Modified Lax-Friedrichs Method for the Shallow Water Equations}, proceedings={Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia}, publisher={EAI}, proceedings_a={MSCEIS}, year={2020}, month={7}, keywords={shallow water equations lax-friedrichs method modification}, doi={10.4108/eai.12-10-2019.2296327} }- Kartika Yulianti
Rini Marwati
Suci Permatahati
Year: 2020
A Modified Lax-Friedrichs Method for the Shallow Water Equations
MSCEIS
EAI
DOI: 10.4108/eai.12-10-2019.2296327
Abstract
In this paper, we present a simple modified Lax-Friedrichs method for the numerical solution of shallow water equations. In the proposed method, we approximate the next-step value by applying the Lax–Friedrichs method at the half grid of space. The method was applied to simulate the wave propagation at a resting pool for non-flat topography. Based on the simulation, the proposed method is more accurate in terms of fulfilling the conservation law than the Lax-Friedrichs method and it shows good agreement with the steady analytical solution
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