Paper Info
Title
Implicit time advancing combined with two finite-volume methods in the simulation of morphodynamic flows.
Abstract
Numerical simulation of morphodynamic problems is considered. The physical model is based on the shallow-water equations coupled with the Exner equation closed by the Grass model to describe the time evolution of the bed profile. The SRNH predictor–corrector scheme and a modified Roe scheme for non-conservative systems of equations are considered for space discretization. Second-order accuracy in space is achieved through variable reconstruction. These schemes were previously used in the simulation of the considered problems together with explicit time advancing. Linearized implicit time-advancing versions are generated here, in which the flux Jacobians are computed through automatic differentiation. Second-order accuracy in time is obtained through a backward differentiation formula associated with a defect-correction approach. For both the considered numerical methods, the explicit and implicit versions are compared in terms of accuracy and efficiency for one-dimensional and two-dimensional morphodynamic problems characterized by different time scales for the evolution of the bed and of the water flow.
Year
DOI
Venue
2014
10.1016/j.matcom.2013.07.002
Mathematics and Computers in Simulation
Keywords
Field
DocType
Shallow water,Implicit time advancing,Defect correction,Exner equation,Morphodynamic flows,Finite-volume schemes
Discretization,Mathematical optimization,Water flow,Mathematical analysis,Roe solver,Automatic differentiation,Backward differentiation formula,Numerical analysis,Exner equation,Finite volume method,Mathematics
Journal
Volume
ISSN
Citations 
99
0378-4754
0
PageRank 
References 
Authors
0.34
7
5
Name
Order
Citations
PageRank
M. Bilanceri100.34
François Beux200.68
Imad Elmahi3193.38
Hervé Guillard422.19
Maria-Vittoria Salvetti500.68