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Application of Hybrid RANS/LES Methods for the Simulation of Shock-Induced Turbulent Boundary Layer Separation 应用 RANS/LES 混合方法模拟冲击诱发的湍流边界层分离
Q3 Mathematics
Mathematical Models and Computer Simulations
Pub Date : 2024-04-22 DOI: 10.1134/s2070048224010113
A. I. Troshin, S. V. Bakhne

Abstract

The results of shock-induced turbulent boundary layer separation simulations using scale-resolving methods with wall modelling (WMLES) are presented. A test case is chosen for which experimental data and reference large eddy simulation results are available. The IDDES method based on the SST turbulence model in the WMLES mode is compared with a similar method in which the explicit subgrid scale model is turned off. In the second approach, two schemes of the WENO family are considered. In each case, two grids of different densities are employed. The separation size, pressure, and friction coefficient distributions along the wall, and one-point pressure probability density functions at two reference points are compared. An unexpected result is demonstrated: in all the eddy-resolving simulations, the separation region’s length turns out to be underestimated by 15–28%, and no significant reduction in the error with grid refinement is observed. Possible reasons for this phenomenon are discussed.

摘要 本文介绍了利用尺度求解方法和壁面建模（WMLES）进行的冲击诱导湍流边界层分离模拟结果。选取了一个有实验数据和参考大涡模拟结果的测试案例。在 WMLES 模式下，基于 SST 湍流模型的 IDDES 方法与关闭显式子网格尺度模型的类似方法进行了比较。在第二种方法中，考虑了 WENO 系列的两种方案。在每种情况下，都采用了两个不同密度的网格。比较了沿壁的分离尺寸、压力和摩擦系数分布，以及两个参考点的单点压力概率密度函数。结果出乎意料：在所有涡流解析模拟中，分离区域的长度都被低估了 15%-28%，而且网格细化后误差并没有明显减小。本文讨论了造成这种现象的可能原因。
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引用次数: 0
Application of the Harmonic Balance Method to Calculate the First Booster Stage Tonal Noise 应用谐波平衡法计算第一增压器级音调噪声
Q3 Mathematics
Mathematical Models and Computer Simulations
Pub Date : 2024-04-22 DOI: 10.1134/s2070048224010083
A. A. Rossikhin, V. I. Mileshin

Abstract

The results of the numerical investigation of the tone noise of the first booster stage of a high bypass ratio turbofan in the far field in the approach (landing) operational conditions are presented. The study is performed using the frequency domain numerical method of multistage turbomachines tonal noise simulation, developed at the Baranov Central Institute of Aviation Motors (CIAM). A variant of the method suitable for the calculations in a nonlinear setup is used. The calculation is performed for several blade passages in each row. The harmonic balance method for multitonal disturbances with a frequency mapping is implemented. The results of the calculations are compared with the results of the calculations in the time domain, presented in the previous paper (they were also performed in a nonlinear setup) and with the experimental data obtained at the CIAM acoustic test facility. In general, satisfactory correspondence is found between the data in both cases. The results can be treated as an argument for the validity of the proposed nonlinear frequency domain method of the multistage turbomachinery tone noise calculations.

摘要 本文介绍了在进场（着陆）运行条件下，对高旁路比涡轮风扇第一助推级在远场的音调噪声进行数值研究的结果。研究采用了巴拉诺夫中央航空发动机研究所（CIAM）开发的多级涡轮机械音调噪声模拟频域数值方法。该方法的变体适用于非线性设置下的计算。计算针对每一行中的多个叶片通道。采用了频率映射多干扰谐波平衡法。计算结果与前一篇论文中介绍的时域计算结果（也是在非线性设置中进行的）以及在 CIAM 声学测试设施中获得的实验数据进行了比较。总的来说，这两种情况下的数据都能找到令人满意的对应关系。这些结果可以作为多级涡轮机械音调噪声计算的非线性频域方法有效性的论据。
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引用次数: 0
Computation of the Evolution of Tollmien–Schlichting Waves Based on Global Stability Analysis 基于全局稳定性分析的 Tollmien-Schlichting 波演变计算
Q3 Mathematics
Mathematical Models and Computer Simulations
Pub Date : 2024-04-22 DOI: 10.1134/s2070048224010034
K. V. Belyaev, A. V. Garbaruk, V. D. Golubkov, M. Kh. Strelets

Abstract

A computational methodology is presented for calculating the spatial evolution of Tollmien–Schlichting (T–S) waves and their amplitude growth-rate factor in substantially nonparallel compressible flows, based on a global stability analysis of stationary solutions of the full Navier–Stokes (N–S) equations. Three stages of this methodology (obtaining a stationary solution, as well as carrying out a global stability analysis and its postprocessing) are described, and the results are presented of its validation based on the comparison of the results of calculating the characteristics of T–S waves on a flat plate with the corresponding results of the classical stability theory in the parallel approximation. An example of calculating the flow around a plate with a rectangular cavity is presented to illustrate the possibility of applying the proposed methodology to nonparallel flows.

摘要 本文提出了一种计算方法，用于计算 Tollmien-Schlichting (T-S) 波的空间演化及其在实质上不平行的可压缩流中的振幅增长率因子，该方法基于对完整纳维-斯托克斯（N-S）方程静态解的全局稳定性分析。介绍了该方法的三个阶段（获得静态解、进行全局稳定性分析及其后处理），并根据平板上 T-S 波特性计算结果与平行近似经典稳定性理论相应结果的比较，介绍了该方法的验证结果。还介绍了一个计算带矩形空腔的平板周围流动的例子，以说明将所提出的方法应用于非平行流动的可能性。
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引用次数: 0
Numerical Simulation of the Evolution of a Curved Turbulent Wake Subjected to an Adverse Pressure Gradient 受逆向压力梯度影响的弯曲湍流尾流演变的数值模拟
Q3 Mathematics
Mathematical Models and Computer Simulations
Pub Date : 2024-04-22 DOI: 10.1134/s2070048224010101
A. S. Stabnikov, M. Kh. Strelets, A. K. Travin, M. L. Shur

Abstract

The results are presented of the numerical experiments aimed at obtaining detailed and reliable data on the mean and turbulent characteristics of the asymmetric curved turbulent wake behind a flat plate (FP) subjected to an adverse pressure gradient (APG). The computations are performed for the model wake configuration designed earlier by the authors with the use of the scale-resolving zonal Reynolds-averaged Navier–Stokes-improved delayed detached-eddy simulation (RANS-IDDES) approach to represent turbulence. The reliability of the obtained results is confirmed by the grid independence of the obtained solutions, and a comparison of these results with the corresponding results of computations performed with the use of various semiempirical RANS models indicates the insufficient accuracy of the latter and the need for their further improvement.

摘要 本文介绍了数值实验的结果，这些实验旨在获得关于受到不利压力梯度（APG）作用的平板（FP）后非对称弯曲湍流尾流的平均特性和湍流特性的详细而可靠的数据。计算是针对作者早先设计的模型湍流尾流配置进行的，使用了尺度解析带状雷诺平均纳维-斯托克斯改进延迟分离涡模拟（RANS-IDDES）方法来表示湍流。这些结果与使用各种半经验 RANS 模型进行计算的相应结果进行比较后发现，后者的精确度不够，需要进一步改进。
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引用次数: 0
Pursuit Problem with an Arbitrary Initial Aiming Angle 具有任意初始瞄准角的追逐问题
Q3 Mathematics
Mathematical Models and Computer Simulations
Pub Date : 2024-04-01 DOI: 10.1134/s2070048224020078
V. Y. Bodryakov
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引用次数: 0
Simulation of Propagation of Video Pulse Signals of GPR in the Earth’s Lithosphere 模拟 GPR 视频脉冲信号在地球岩石圈中的传播
Q3 Mathematics
Mathematical Models and Computer Simulations
Pub Date : 2024-04-01 DOI: 10.1134/s2070048224020182
Z. Suvorova, I. Mingalev, O. Mingalev, O. I. Ahmetov, L. B. Volkomirskaya, O. A. Gulevich, A. Reznikov
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引用次数: 0
Modeling the Dynamics of Substances within a Self-Consistent Model of a Systemic Circle of Blood Circulation 在自洽的系统血液循环模型中建立物质动态模型
Q3 Mathematics
Mathematical Models and Computer Simulations
Pub Date : 2024-04-01 DOI: 10.1134/s2070048224020029
M. Abakumov, S. I. Mukhin, K. M. Mysova, A. Y. Pokladyuk, A. B. Khrulenko
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引用次数: 0
Dynamic Load Balancing Using Adaptive Locally Refined Meshes 利用自适应局部细化网格实现动态负载平衡
Q3 Mathematics
Mathematical Models and Computer Simulations
Pub Date : 2024-04-01 DOI: 10.1134/s2070048224020091
S. K. Grigoriev, D. A. Zakharov, M. A. Kornilina, M. Yakobovskiy
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引用次数: 0
On the Resonant Frequencies of a Partially Shielded Circular Dielectric Cylinder 关于部分屏蔽圆形介质圆柱体的谐振频率
Q3 Mathematics
Mathematical Models and Computer Simulations
Pub Date : 2024-04-01 DOI: 10.1134/s2070048224020042
G. Abgaryan, Y. V. Shestopalov, K. A. Romanov
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引用次数: 0
Modification of the Wilson–Frankel Kinetic Model and Atomistic Simulation of the Rate of Melting/Crystallization of Metals 修改威尔逊-弗兰克尔动力学模型并对金属的熔化/结晶速率进行原子模拟
Q3 Mathematics
Mathematical Models and Computer Simulations
Pub Date : 2024-04-01 DOI: 10.1134/s207004822402011x
V. Mazhukin, A. V. Shapranov, O. N. Koroleva, A. Mazhukin
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引用次数: 0
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