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標題: Two-dimensional numerical model of two-layer shallow water equations for confluence simulation
作者: Chen, S.C.
Peng, S.H.
關鍵字: two-layer shallow water equations;Bingham fluid;finite-volume method;FILL scheme;free-surface flows;godunov method;schemes
Project: Advances in Water Resources
期刊/報告no:: Advances in Water Resources, Volume 29, Issue 11, Page(s) 1608-1617.
This study presents a finite-volume explicit method to solve 2D two-layer shallow water equations. This numerical model is intended to describe two-layer shallow flows in which the superposed layers differ in velocity, density and theology in a two-dimensional domain. The theological behavior of mudflow or debris flow is called the Bingham fluid. Thus, the shear stress on rigid bed can be derived from the constitutive equation. The computational approach adopts the HLL scheme, a novel approach for the purpose of computing a Godunov flux and solving the Riemann problem approximately proposed by Harten, Lax and van Leer, as a basic building block, treats the bottom slope by lateralizing the momentum flux, and refines the scheme using the Strang splitting to manage the frictional source term. This study successfully performed 2D two-layer shallow water computations on a rigid bed. The proposed numerical model can describe the variety of depths and velocities of substances including water and mud, when the hyperconcentrated tributary flows into the main river. The analytical results in this study will be valuable for further advanced research and for designing or planning hydraulic engineering structures. (c) 2005 Elsevier Ltd. All rights reserved.
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2005.12.001
Appears in Collections:水土保持學系

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