Computations of free surface flows Part 1: One-dimensional dam-break flow
- 14 January 1993
- journal article
- research article
- Published by Taylor & Francis in Journal of Hydraulic Research
- Vol. 31 (1) , 19-34
- https://doi.org/10.1080/00221689309498857
Abstract
In this paper, various modern characteristics-based high resolution nonoscillatory shock-capturing finite difference and Petrov-Galerkin finite element methods are presented for the computation of one-dimensional unsteady free surface flows resulting from a dam-breaking. The adopted schemes come directly from gas flow computations in gas dynamics. The computed results are compared with analytic solutions to assess their validity. It is demonstrated that accurate predictions of high speed open channel flows are obtainable using the present schemes. An analytic solution for sudden formation of a bore wave is also included.Keywords
This publication has 8 references indexed in Scilit:
- Third-order nonoscillatory schemes for the Euler equationsAIAA Journal, 1991
- Non‐oscillatory shock‐capturing finite element methods for the one‐dimensional compressible Euler equationsInternational Journal for Numerical Methods in Fluids, 1990
- ENO schemes with subcell resolutionJournal of Computational Physics, 1989
- Approximate Riemann solutions of the shallow water equationsJournal of Hydraulic Research, 1988
- Uniformly High-Order Accurate Nonoscillatory Schemes. ISIAM Journal on Numerical Analysis, 1987
- Simulation of one-dimensional dam-break flowsJournal of Hydraulic Research, 1987
- High resolution schemes for hyperbolic conservation lawsJournal of Computational Physics, 1983
- Approximate Riemann solvers, parameter vectors, and difference schemesJournal of Computational Physics, 1981