Numerical models of turbulent wake dynamics behind a towed body in a linearly stratified medium

Abstract

To describe the far turbulent wake flow behind a towed body in a linearly stratified medium we use an hierarchy of semi-empirical turbulent models. The most complex model comprises differential equations for transport of normal Reynolds stresses. We give computational results demonstrating far turbulent wake dynamics both in a passively and actively stratified medium as compared to far momentumless turbulent wake dynamics. We numerically simulate the anisotropic decay of turbulence in a far wake behind a towed body. We give computational results of turbulent wake characteristics for large decay periods.

A three-dimensional semi-empirical model of a far turbulent wake

“…3 the axial values of the turbulent energy are compared with Lin and Pao's experimental data [4], Hassid's computational results [5] and results of numerical computations [6,7]. We have borrowed this figure from work [6] and have put the values. We can see satisfactory agreement with Lin and Pao's experimental data here as well.…”

“…Based on hierarchy of semi-empirical turbulence models of second order, the numerical simulation of the dynamics of a turbulent wake in a stable stratified medium was carried out by Chernykh et al [6]. A satisfactory agreement with experimental data [4] was obtained in [5,6].…”

“…To calculate the characteristics of the far turbulent wake behind an axisymmetric self-propelled body in a passive stratified medium we use the three-dimensional semi-empirical turbulence model [6][7][8]…”

“…Numerical analysis [6][7][8] of degeneration of the far turbulent wake in a passive stratified medium show that the functions E and G must be presented in the form…”

“…The present paper is a continuation of our investigations. In this paper we consider three-dimensional semi-empirical model of the far turbulent wake behind an axisymmetric self-propelled body in a passive stratified medium [6][7][8]. Considering problem is equivalent to the problem of the development of a turbulent mixing zone in a passive stratified medium [7,8].…”