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A Regular Difference Grid and Characteristics Method 正则表达式差分网格和特征方法
Q3 Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s2070048223070116

Abstract

An explicit characteristics method used to calculate the values of gas-dynamic parameters (GDP) of one-dimensional unsteady flows is considered. An algorithm for solving gas-dynamic equations written along characteristic directions is formulated for use on a regular grid. An example of calculating the problem for a cylindrical pipe is performed. It is shown that with a time integration step of 0.0002 s, the calculation accuracy by the explicit method is close to the results obtained by the implicit method.

摘要 研究了用于计算一维非稳态流动的气体动力参数值(GDP)的显式特征法。为在规则网格上使用,制定了一种沿特征方向写入的气体动力方程求解算法。以圆柱形管道为例进行了计算。结果表明,当时间积分步长为 0.0002 秒时,显式方法的计算精度接近于隐式方法的计算精度。
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引用次数: 0
Numerical Modeling of a Melt Flow by the Czochralski Method in the OpenFOAM Package Using a Quasi-Hydrodynamic Algorithm 在 OpenFOAM 软件包中使用准流体力学算法通过 Czochralski 方法建立熔融流数值模型
Q3 Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s2070048223070074
M. A. Kirushina, T. G. Elizarova, A. S. Epikhin
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引用次数: 0
On One Class of Exact Solutions of the Navier–Stokes System of Equations for an Incompressible Fluid 论不可压缩流体纳维-斯托克斯方程组的一类精确解法
Q3 Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s2070048223070037
V. A. Galkin, A. Dubovik
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引用次数: 0
Application of the Godunov Scheme to Solve Three-Dimensional Problems of High-Speed Interactions of Elastoplastic Bodies 应用戈杜诺夫方案解决弹塑性体高速相互作用的三维问题
Q3 Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s2070048223070025
K. M. Abuzyarov, M. Abuziarov, A. V. Kochetkov, S. V. Krylov, A. A. Lisitsyn, I. A. Modin
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引用次数: 0
Model of Protective Film Formation in the Vicinity of a Slit Channel During the Convective-Film Cooling of a Plate 板材对流-薄膜冷却过程中狭缝通道附近保护膜的形成模型
Q3 Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s2070048223070153

Abstract

Based on the solution of the Reynolds-averaged system of equations of motion of a viscous compressible heat-conducting gas, the thermal and velocity fields of the gas during the formation of convective-film protection of a flat plate are calculated. The gas dynamics are solved using the explicit McCormack method with the splitting of the initial operator along spatial directions and a nonlinear correction scheme. The Spalart−Allmaras turbulence model is used together with the near-wall velocity function. The block finite-difference mesh is constructed by the Thompson method. The fields of the gas dynamic functions on both sides of the plate are determined at different inclination angles of a jet injected from a flat slit. The temperature field of the plate and the film cooling efficiency parameter are defined in a quasi-static approximation. Estimates of the temperature of the plate surfaces are obtained using the velocity and thermal near-wall functions.

摘要 基于粘性可压缩导热气体雷诺平均运动方程组的求解,计算了在平板形成对流膜保护过程中气体的热场和速度场。气体动力学的求解采用了显式麦科马克方法,并沿空间方向分割了初始算子和非线性修正方案。Spalart-Allmaras 湍流模型与近壁速度函数一起使用。块有限差分网格由汤普森方法构建。在从平缝隙喷射的射流的不同倾角下,确定了板两侧的气体动态函数场。板的温度场和薄膜冷却效率参数以准静态近似方式定义。利用速度和热近壁函数获得了板表面温度的估计值。
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引用次数: 0
Modeling Sociopsychological Processes of the Formation of the Population’s Position on Vaccine Prevention in the Context of Information Propaganda 信息宣传背景下民众疫苗预防立场形成的社会心理过程建模
Q3 Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s2070048223070098

Abstract

This article studies the development and analysis of a model for the formation of the population’s position regarding the influenza virus vaccine prophylaxis within the context of annual recurring seasonal increases in the incidence of influenza. The adoption of a decision on the eve of the next vaccination campaign is taken in accordance with the psychological reaction to the result of the previous year’s decision. A case of the disease is considered as the result of an unsuccessful decision, and its change is related to the nature of the psychological reaction to failure: emotional or restrained. This approach is complemented by taking into account the impact of vaccination and antivaccination propaganda. An analytical expression is obtained for the ratio of stationary proportions of those agreeing and disagreeing with vaccination, which makes it possible to determine those parameter values that ensure the desired ratio.

摘要 本文研究了在流感发病率每年反复季节性增长的背景下,居民对流感病毒疫苗预防立场的形成模型的开发和分析。在下一次疫苗接种活动前夕,根据对上一年决定结果的心理反应做出决定。一例疾病被视为一次不成功决策的结果,其变化与对失败的心理反应的性质有关:情绪化或克制。考虑到疫苗接种和反疫苗接种宣传的影响,对这一方法进行了补充。对同意和不同意接种疫苗的固定比例进行了分析,从而可以确定确保达到理想比例的参数值。
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引用次数: 0
Numerical Study of the Effect of Artificial Obstacles on the Occurrence of Hurricane-Force Wind Gusts during the Bora Bora期间人工障碍物对飓风级阵风发生影响的数值研究
Q3 Mathematics Pub Date : 2023-11-04 DOI: 10.1134/s2070048223060029
M. V. Abakumov
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引用次数: 0
The Effect of Ballistic Parameters of Meteoroids on Their Destruction in the Earth’s Atmosphere 流星体的弹道参数对其在地球大气层中毁灭的影响
Q3 Mathematics Pub Date : 2023-11-04 DOI: 10.1134/s2070048223060054
V. A. Andrushchenko, N. G. Syzranova
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引用次数: 0
Explicit Numerical Algorithm for the Nonhydrostatic Fluid Dynamics Equations Based on the CABARET Scheme 基于CABARET格式的非静力流体动力学方程的显式数值算法
Q3 Mathematics Pub Date : 2023-11-04 DOI: 10.1134/s2070048223060108
V. M. Goloviznin, Petr A. Mayorov, Pavel A. Mayorov, A. V. Solovjev, N. A. Afanasiev
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引用次数: 0
When an Implicit Scheme is Monotonic 当隐式格式是单调的
Q3 Mathematics Pub Date : 2023-11-04 DOI: 10.1134/s207004822306011x
V. A. Gordin
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引用次数: 0
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