Experimental validation of two depth‐averaged turbulence models

Abstract

SUMMARYA finite volume turbulence model for the resolution of the two-dimensional shallow water equations with turbulent term is presented. After making a finite volume discretization of the depth-averaged kequations in conservative form, the q-r equations, that give stability to the process, are obtained. Wall and inlet boundary conditions for the turbulent equations and wall conditions for the hydrodynamic equations are discussed. A comparison between the k-and q-r models and some experimental results is made.

Sığ Akım Denklemlerinin Hidrolikte Kullanılması Üzerine Değerlendirmeler

“…Bu anlamda birçok çalışma yapılmış olmakla birlikte ( [12], [13], [14], [15], [16]) SAD çözümleri için henüz genel kabul görmüş bir derinlik integralli türbülans modeli yoktur. Yapılan bazı çalışmalarda ise bir model tanımlamak yerine ampirik ifadelerle deneysel verilere uyum sağlanması denenmiştir [17]. Buradaki zorluk, gerçekte 3-Boyutlu olan türbülansın 2-Boyuta indirgenmesinin vorteks oluşumu gibi temel türbülans dinamikleri ile çelişmesidir.…”

A second order method for solving turbulent shallow flows

“…A way to implement these equations together with the hydrodynamic equations has been fully described in Fe et al [6]). …”

“…Both were the upstream and downstream boundary conditions used for the numerical model. At the walls, the friction velocity condition, described in Fe et al [6], was considered. …”

Conservative numerical simulation of multi-component transport in two-dimensional unsteady shallow water flow

“…Extensions of the numerical models to ensure the correct resolution of the enlarged system of equations have followed different approaches. Several authors [2,7,10] report on the use of the uncoupled system of equations whereas others [3,6,15] consider the convenience of solving the shallow water and the transport equations in coupled form to deal with steady and unsteady flow even in presence of discontinuities of both solute concentration and water depth. Considering that the conserved quantity is the solute volume and not the solute concentration, the coupled formulation of the system and the use of an extended Jacobian matrix to develop the flux difference splitting is not always a sufficient condition in complex cases, as demonstrated in [16], in order to ensure conservation and the required positivity in the concentrations.…”