Finite volume model for two-dimensional shallow environmental flow

Journal of Hydraulic Engineering
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Abstract

This paper presents the development of a two-dimensional, depth integrated, unsteady, free-surface model based on the shallow water equations. The development was motivated by the desire of balancing computational efficiency and accuracy by selective and conjunctive use of different numerical techniques. The base framework of the discrete model uses Godunov methods on unstructured triangular grids, but the solution technique emphasizes the use of a high-resolution Riemann solver where needed, switching to a simpler and computationally more efficient upwind finite volume technique in the smooth regions of the flow. Explicit time marching is accomplished with strong stability preserving Runge-Kutta methods, with additional acceleration techniques for steady-state computations. A simplified mass-preserving algorithm is used to deal with wet/dry fronts. Application of the model is made to several benchmark cases that show the interplay of the diverse solution techniques.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title Finite volume model for two-dimensional shallow environmental flow
Series title Journal of Hydraulic Engineering
DOI 10.1061/(ASCE)HY.1943-7900.0000292
Volume 137
Issue 2
Year Published 2011
Language English
Larger Work Type Article
Larger Work Subtype Journal Article
Larger Work Title Journal of Hydraulic Engineering
First page 173
Last page 182
Online Only (Y/N) N
Additional Online Files (Y/N) N