In modeling flow in open channels, the traditional finite difference/finite volume schemes become inefficient and warrant special numerical treatment in the presence of shocks and discontinuities. The numerical oscillations that arise by making use of a second-and higher-order schemes require some a
Absorbing boundary technique for open channel flows
โ Scribed by Scott A. Yost; Prasada Rao; Russell M. Brown
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 162 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0271-2091
No coin nor oath required. For personal study only.
โฆ Synopsis
An absorbing boundary condition is formulated and applied to the one-dimensional open channel flow equations in conjunction with an explicit MacCormack scheme. The physical flow domain has been truncated by introducing an artificial pseudo-boundary. By using an appropriate boundary condition on a truncated domain, it is shown that, for flow containing shocks, the solution can be accelerated to its stationary profile with no loss of accuracy.
๐ SIMILAR VOLUMES
An efficient numerical method is developed for the one-dimensional open channel flow equations. The scheme is a modification of one presented recently, but with an improvement in the efficiency made through the use of the arithmetic mean as an average of flow variables across the interface between a
The Saint Venant equations for modelling flow in open channels are solved in this paper, using a variety of total variation diminishing (TVD) schemes. The performance of second-and third-order-accurate TVD schemes is investigated for the computation of free-surface flows, in predicting dam-breaks an
A high-resolution finite volume hydrodynamic solver is presented for open-channel flows based on the 2D shallow water equations. This Godunov-type upwind scheme uses an efficient Harten -Lax -van Leer (HLL) approximate Riemann solver capable of capturing bore waves and simulating supercritical flows
A depth-averaged two-dimensional model has been developed in the curvilinear co-ordinate system for free-surface flow problems. The non-linear convective terms of the momentum equations are discretized based on the explicit-finite-analytic method with second-order accuracy in space and first-order a