Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods

TLDR: This paper presents several deterministic models, and presents an unified definition for the solid transport discharge, which defines a coupled system of equations that can be rewrite as a non-conservative hyperbolic system.

About: This article is published in Computers & Fluids.The article was published on 2008-03-01 and is currently open access. It has received 157 citations till now. The article focuses on the topics: Shallow water equations & Finite volume method.

Figures

Table 3: Errors and order: Weno2 + Runge Kutta 2

Figure 12: Initial condition imposed in numerical test. Layer water thickness (h): dashed line. Sediment layer thickness (zb): continuous line. Depth (H): dotted line.

Figure 13: Sediment layer evolution at 10 min, 40 min y 120 min . Experimental measures (continuous line with dots). Euler-Roe (dashed line). Weno2-Rk2 (continuous line).

Figure 8: Test of order. Initial condition. Layer water thickness (h): dashed line. Sediment layer thickness (zb): continuous line. Depth (H): dotted line.

Figure 1: Types of sediment transport.

Figure 9: Order test. Comparison between the solution at t = 0.5 s. Fine mesh (continuous line). Euler-Roe (continuous line with dots). Weno2-Rk2 (continuous line with stars).

Frequently asked questions

Q1. What are the contributions in "Sediment transport models in shallow water equations and numerical approach by high order finite volume methods" ?

This paper is concerned with the numerical approximation of bedload sediment transport due to water evolution. For the hydrodynamical component the authors consider shallow water equations. The authors present several deterministic models, such as Meyer-Peter & Müller, Van Rijn or Grass model. The authors also present an unified definition for the solid transport discharge, and they compare with Grass model. To discretize it, the authors consider finite volume methods with or without flux limiters and high order state reconstructions. Finally the authors present several tests, where they observe numerically the order of the numerical schemes, Comparisons with analytical solutions and experimental data are also presented.