TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-02 DOI:10.1007/s00021-024-00895-y

Cherif Amrouche, Guillaume Leloup, Roger Lewandowski

引用次数: 0

Abstract

We are considering a steady-state turbulent Reynolds-Averaged Navier–Stokes (RANS) one-equation model, that couples the equation for the velocity-pressure mean field with the equation for the turbulent kinetic energy. Eddy viscosities vanish at the boundary, characterized by terms like \(d(x, \Gamma )^\eta \) and \(d(x, \Gamma )^\beta \), where \(0< \eta , \beta < 1\). We determine critical values \(\eta _c\) and \(\beta _c\) for which the system has a weak solution. This solution is obtained as the limit of viscous regularizations for \(0< \eta < \eta _c\) and \(0< \beta < \beta _c\).

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与墙壁距离有关的 TKE 模型--第 1 部分：松弛情况

我们考虑的是稳态湍流雷诺平均纳维-斯托克斯（RANS）一元模型，它将速度-压力平均场方程与湍流动能方程耦合在一起。涡流粘度在边界处消失，其特征为 \(d(x, \Gamma )^\eta \) 和 \(d(x, \Gamma )^\beta \)，其中 \(0< \eta , \beta < 1\).我们确定临界值\(\eta _c\)和\(\beta _c\)，对于这两个值，系统有一个弱解。这个解是作为 \(0< \eta < \eta _c\) 和 \(0< \beta < \beta _c\) 的粘性正则化的极限而得到的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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