Journal ArticleDOI
Numerical Modelling of Free-Surface Flows with Bottom and Surface-Layer Pressure Treatment
Kun Wang,Sheng Jin,Gang Liu +2 more
TLDR
In this article, a non-hydrostatic numerical model with the three-dimensional Navier-Stokes equations on structured grids was constructed and discussed, based upon a staggered finite difference Crank-Nicholson scheme on a Cartesian grid.Abstract:
A new non-hydrostatic numerical model with the three-dimensional Navier-Stokes equations on structured grids was constructed and discussed. The algorithm is based upon a staggered finite difference Crank-Nicholson scheme on a Cartesian grid. The eddy viscosity coefficient was calculated by the efficient k-e turbulence model. A new surface-layer non-hydrostatic treatment and a local cell bottom treatment were introduced so that the three-dimensional model is fully non-hydrostatic and is free of any hydrostatic assumption. The developed model is second-order accuracy in both time and space when semi-implicit coefficient is set to 0.5. The validity of the present solution algorithm was demonstrated from its application to the three-dimension channel flow and the wave propagation over a submerged bar problems.read more
Citations
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Three-dimensional numerical simulation of aerated flows downstream sudden fall aerator expansion-in a tunnel
TL;DR: In this paper, the shape of sudden expansion-fall is used as a common device for mitigating cavitation erosions in hydropower projects and the complex flow patterns with cavitation are numerically simulated by using the realizable k − ǫ turbulence model and the air-water mixture model.
Journal ArticleDOI
Numerical Simulation of the Energy Dissipation Characteristics in Stilling Basin of Multi-Horizontal Submerged Jets
TL;DR: In this article, a 3D numerical simulation was carried out for the water flow in a stilling basin with multi-horizontal submerged jets by using two different turbulence models, namely, the VOF RNG k-e and Mixture RNG K-e turbulence models.
Journal ArticleDOI
Reduction of stilling basin length with tall end sill
TL;DR: In this paper, the authors conducted experiments to characterize forced hydraulic jumps in stilling basins for enforced cases due to tail water level or dam site arrangement and construction, and the results of experiments are compared with the classical hydraulic jump, and significant effect of tall sill on dissipation of energy in shorter distance was confirmed.
Journal ArticleDOI
An Adaptive Control Strategy for Proper Mesh Distribution in Large Eddy Simulation
TL;DR: A new expression of PFGS is proposed on the basis of −5/3 law of inertial sub-range and the proper mesh of LES can be built directly from the adjustment of RANS mesh, employed here.
Journal ArticleDOI
Detached eddy simulation of hydraulic characteristics along the side-wall after a new arrangement-scheme of the sudden lateral enlargement and the vertical drop *
TL;DR: In this paper, a new arrangement-scheme is proposed, where the sudden lateral enlargement and the vertical drop can be imposed at the outlet of the gate chamber, and the hydraulic characteristics along the side-wall are simulated by the detached eddy simulation and the Volume Of Fluid (VOF) method.
References
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Journal ArticleDOI
Experimental investigation of wave propagation over a bar
S. Beji,Jurjen A. Battjes +1 more
TL;DR: In this article, a model for nonlinear conservative (non-dissipative) wave-wave interaction is proposed to simulate the evolution of the spectral shape, in conjunction with a (semi-empirical) model for the dissipation of the total energy due to breaking.
Journal ArticleDOI
An unstructured grid, three-dimensional model based on the shallow water equations
Vincenzo Casulli,Roy A. Walters +1 more
TL;DR: A semi-implicit finite difference model based on the three-dimensional shallow water equations is modified to use unstructured grids, which is relatively simple, conserves mass, can fit complicated boundaries and yet is sufficiently flexible to permit local mesh refinements in areas of interest.
Journal ArticleDOI
A semi-implicit finite difference method for non-hydrostatic, free-surface flows
TL;DR: In this paper, a semi-implicit finite difference model for non-hydrostatic, free-surface flows is analyzed and discussed, and it is shown that the present algorithm is generally more accurate than recently developed models for quasi-Hydrostatic flows.
Journal ArticleDOI
Semi-implicit numerical modeling of nonhydrostatic free-surface flows for environmental problems
Vincenzo Casulli,Paola Zanolli +1 more
TL;DR: A semi-implicit numerical model for the 3D Navier-Stokes equations on unstructured grids is derived and discussed in this article, where the governing differential equations are discretized by means of a finite difference-finite volume algorithm which is robust, very efficient, and applies to barotropic and baroclinic, hydrostatic and nonhydrostatic, and one-, two-, and three-dimensional flow problems.
Journal ArticleDOI
Shallow‐water flow solver with non‐hydrostatic pressure: 2D vertical plane problems
Peter Stansby,Jian Guo Zhou +1 more
TL;DR: In this article, a numerical solution for shallow-water flow is developed based on the unsteady Reynolds-averaged Navier-Stokes equations without the conventional assumption of hydrostatic pressure.