Modelling Shallow Water Wakes Using a Hybrid Turbulence Model

Abstract

A numerical research with different turbulence models for shallow water equations was carried out. This was done in order to investigate which model has the ability to reproduce more accurately the wakes produced by the shock of the water hitting a submerged island inside a canal. The study of this phenomenon is important for the numerical methods application advancement in the simulation of free surface flows since these models involve a number of simplifications and assumptions that can have a significant impact on the numerical solutions quality and thus can not reproduce correctly the physical phenomenon. The numerical experiments were carried out on an experimental case under controlled conditions, consisting of a channel with a submerged conical island. The numerical scheme is based on the Eulerian-Lagrangian finite volume method with four turbulence models, three mixing lengths (ml), and one joining -on the horizontal axis with a mixing-length model (ml) on the vertical axis. The experimental results show that a -with ml turbulence model makes it possible to approach the experimental results in a more qualitative manner. We found that when using only a -model in the vertical and horizontal direction, the numerical results overestimate the experimental data. Additionally the computing time is reduced by simplifying the turbulence model.

A Numerical Design of Marine Current for Predicting Velocity and Kinetic Energy

“…It shows difference in the boundary conditions. We can also compare with seeing the results of discussions by [5,7], [10][11][12]. Besides, this area is suited installed turbines for marine current power plant and ideal, it has velocities of current two directions (minimum bidirectional) of 2 m/s or more, one way is minimum 1.2-1.5 m/s [13,20].…”

“…Gillibrand et al [6] have proposed numerical simulations which used the 3D shallow water equations derived from the RANS equations by using the hydrostatic assumption. Rodriguez-Cuevas, et al, [7] have been conducted a number of numerical experiments through test various turbulence models for shallow fluxes with recirculation of wakes produced by an island with a slight slope in their numerical simulations. Rompas and Manongko [8] proposed the study on the distributions of marine current velocity and kinetic energy in the Strait of Bunaken, North Sulawesi, Indonesia.…”

“…Also, from the results of modification of the YAXUM/3D model that used by [7][8], [10][11]. In the numerical model, we used semi-implicit finite difference method for the numerical solution of the three-dimensional Equation (1) in the computation of shallow water flows [5,14].…”

Modelling, Transport and Assessment of Aquatic Toxic Metals in Coastal Ecosystems

“…The hydrodynamic module is based on the governing equations for shallow waters with constant density and free surface, which can be derived from the Reynolds-averaged Navier-Stokes equations [36]. These equations are:…”

“…The hydrodynamic model adopted in this work is self-development for research purposes, and has been previously used in different research applications, including: the hydrodynamic-hydrological modelling in flood zones [31], the modelling of flows through vegetation [32], the modelling of the thermal discharges [33,34] and the modelling of fresh water plumes in river-sea interaction [35]. On the other side, in order to accurately simulate turbulent viscosity, we implemented the turbulence model discussed in detail in [36].…”