A new non‐equilibrium modification of the k−ω$$ k-\omega $$ turbulence model for supersonic turbulent flows with transverse jet

IF 1.7 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Altynshash Naimanova, Assel Beketaeva
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引用次数: 0

Abstract

The goal of this research is to propose a new modification of a non‐equilibrium effect in the turbulence model to better predict high‐speed turbulent flows. For that, the two local compressibility coefficients are included in the balance production/dissipation terms in a specific dissipation rate equation. The specific dissipation rate reacts to changes in the local Mach number and density through these local coefficients. The developed model is applied to the numerical simulation of the spatial supersonic turbulent airflow with round hydrogen injection. In that, the effects of the proposed turbulence model on the flow field behavior (shock wave and vortex formations, shock wave/boundary layer interaction, and mixture layer) are studied via the solution of three‐dimensional Favre‐averaged Navier–Stokes equations with a third‐order Essentially Non‐Oscillatory scheme. A series of numerical experiments are performed, in which an allowable range of local constants by comparing results with experimental data is obtained. The non‐equilibrium modification by simultaneous decrease of the turbulence kinetic energy and increase of the specific dissipation rate gives a good agreement of the hydrogen depth penetration with experimental data. Also, the numerical experiment of the supersonic airflow with a nitrogen jet shows wall pressure distribution is consistent well with experimental data.
针对具有横向喷流的超音速湍流的 k-ω$$ k-\omega $$ 湍流模型的新非平衡修正
本研究的目标是对湍流模型中的非平衡效应提出新的修改,以更好地预测高速湍流。为此,在特定耗散率方程的生产/耗散平衡项中加入了两个局部压缩系数。特定耗散率通过这些局部系数对局部马赫数和密度的变化做出反应。所建立的模型被应用于圆形氢气喷射的空间超音速湍流气流的数值模拟。其中,通过使用三阶本质非振荡方案求解三维法弗尔平均纳维-斯托克斯方程,研究了所提出的湍流模型对流场行为(冲击波和旋涡形成、冲击波/边界层相互作用以及混合层)的影响。进行了一系列数值实验,通过将实验结果与实验数据进行比较,得出了局部常数的允许范围。通过同时降低湍流动能和提高比耗散率对非平衡态进行修正,氢气深度穿透与实验数据非常吻合。此外,氮气喷射的超音速气流数值实验显示壁压分布与实验数据十分吻合。
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
International Journal for Numerical Methods in Fluids
International Journal for Numerical Methods in Fluids 物理-计算机:跨学科应用
CiteScore
3.70
自引率
5.60%
发文量
111
审稿时长
8 months
期刊介绍: The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction. Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review. The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.
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