Finite-Volume Model for Shallow-Water Flooding of Arbitrary Topography

• Published in: Journal of hydraulic engineering (New York, N.Y.) Vol. 128; no. 3; pp. 289 - 298
• Main Authors: Bradford, Scott F, Sanders, Brett F
• Format: Journal Article
• Language: English
• Published: Reston, VA American Society of Civil Engineers 01.03.2002
• Subjects: Acceleration; Boundary layer flow; Earth sciences; Earth, ocean, space; Exact sciences and technology; Finite volume method; Floods; Hydrology; Hydrology. Hydrogeology; Marine and continental quaternary; Numerical methods; Oscillations; Surficial geology; TECHNICAL PAPERS; floods; models; hydraulics; topography; two-dimensional models; hydrodynamics; unsteady flow; boundary conditions; shallow-water environment
• ISSN: 0733-9429; 1943-7900
• DOI: 10.1061/(ASCE)0733-9429(2002)128:3(289)

A model based on the finite-volume method is developed for unsteady, two-dimensional, shallow-water flow over arbitrary topography with moving lateral boundaries caused by flooding or recession. The model uses Roe's approximate Riemann solver to compute fluxes, while the monotone upstream scheme for conservation laws and predictor-corrector time stepping are used to provide a second-order accurate solution that is free from spurious oscillations. A robust, novel procedure is presented to efficiently and accurately simulate the movement of a wet/dry boundary without diffusing it. In addition, a new technique is introduced to prevent numerical truncation errors due to the pressure and bed slope terms from artificially accelerating quiescent water over an arbitrary bed. Model predictions compare favorably with analytical solutions, experimental data, and other numerical solutions for one- and two-dimensional problems.