Paper Info
Title
Wave Riemann description of friction terms in unsteady shallow flows: Application to water and mud/debris floods
Abstract
In this work, the source term discretization in hyperbolic conservation laws with source terms is considered using an approximate augmented Riemann solver. The technique is applied to the shallow water equations with bed slope and friction terms with the focus on the friction discretization. The augmented Roe approximate Riemann solver provides a family of weak solutions for the shallow water equations, that are the basis of the upwind treatment of the source term. This has proved successful to explain and to avoid the appearance of instabilities and negative values of the thickness of the water layer in cases of variable bottom topography. Here, this strategy is extended to capture the peculiarities that may arise when defining more ambitious scenarios, that may include relevant stresses in cases of mud/debris flow. The conclusions of this analysis lead to the definition of an accurate and robust first order finite volume scheme, able to handle correctly transient problems considering frictional stresses in both clean water and debris flow, including in this last case a correct modelling of stopping conditions.
Year
DOI
Venue
2012
10.1016/j.jcp.2011.11.014
J. Comput. Physics
Keywords
Field
DocType
augmented roe,debris flood,approximate riemann solver,wave riemann description,unsteady shallow flow,friction term,shallow water equation,source term,friction discretization,source term discretization,approximate augmented riemann solver,clean water,water layer,debris flow,yield stress,viscous stress
Discretization,Viscous stress tensor,Mathematical analysis,Roe solver,Debris flow,Finite volume method,Mathematics,Shallow water equations,Conservation law,Riemann solver
Journal
Volume
Issue
ISSN
231
4
0021-9991
Citations 
PageRank 
References 
11
1.19
4
Authors
2
Name
Order
Citations
PageRank
J. Murillo1616.64
P. García-Navarro2809.99