Finite Volume Model for Two-Dimensional Shallow Environmental Flow

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 techni...

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Bibliographic Details
Published inJournal of hydraulic engineering (New York, N.Y.) Vol. 137; no. 2; pp. 173 - 182
Main Author SIMOES, Francisco J. M
Format Journal Article
LanguageEnglish
Published Reston, VA American Society of Civil Engineers 01.02.2011
Subjects
Acceleration
Algorithms
Applied sciences
Buildings. Public works
Computation methods. Tables. Charts
Computational efficiency
Exact sciences and technology
Hydraulic constructions
Hydraulic engineering
Mathematical analysis
Mathematical models
Other Technical Papers
Structural analysis. Stresses
Time marching
Two dimensional
Unsteady
Shallow water equations
Wetting and drying
Two-dimensional flow
Wetting
Hydraulics
Finite volume method
Godunov methods
Two dimensional flow
Dewatering
Flooding
Floods
Shallow water
Modeling
Upwind finite volume
Geogrids
Dry out
Unstructured grids
Flood
Discretization
Numerical simulation
Drying
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Summary: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.
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ISSN:0733-9429
1943-7900
DOI:10.1061/(ASCE)HY.1943-7900.0000292