On the Staggered Scheme for Shallow Water Model down an Inclined Channel.

Autor: Fauzi, Rifky, Wiryanto, L. H.
Předmět:
Zdroj: AIP Conference Proceedings; 2017, Vol. 1867 Issue 1, p1-8, 8p, 2 Diagrams, 4 Graphs
Abstrakt: The goal of this paper is to establish a staggered scheme for the shallow water model. The model is taken from [1], which include energy dissipation term. The study examines the temporal stability of the uniform flow using monochromatic waves. The result shows that the roll-waves occur and stable if and only if the Froude number is less than four. We simulate roll-waves by using finite difference in staggered grid. For the linear case this method is capable validating this condition. Moreover, momentum conservative scheme is used to handle advection term thus the evolution of roll-waves can be investigated. We found that this method is able to capture shock discontinuity. From the result, we investigate the effect of Froude number, Reynold and the value of σ. We also found that for supercritical Froude number (F > 1) with low Reynold number the shocks appear faster than the higher number. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index