Abstract
The momentum conservative scheme is implemented on a staggered grid to solve the shallow water equations in the \(r\)–\(t\) space. The resulting scheme is used to simulate flow induced by the instantaneous collapse of a radial dam. The result shows the shock wave propagates radially outward and rarefaction wave moves inward. We demonstrate that our staggered momentum conservative scheme is able to produce the correct shock wave front and rarefaction wave, and having a good agreement with the Roe conservative method of a collocated grid. Moreover, the total fluid mass is conserved during calculations, and yet our scheme is simple and efficient.
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Acknowledgments
The authors acknowledge the support of the Ensemble Estimation of Flood Risk in a Changing Climate project funded by The British Council through their Global Innovation Initiative. Partial support from Riset KK ITB 1064z/I1.C01.2/PL/2014 are also acknowledged.
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Magdalena, I., Erwina, N. & Pudjaprasetya, S.R. Staggered Momentum Conservative Scheme For Radial Dam Break Simulation. J Sci Comput 65, 867–874 (2015). https://doi.org/10.1007/s10915-015-9987-5
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DOI: https://doi.org/10.1007/s10915-015-9987-5