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Equivalence Relations in Convex Optimization 凸优化中的等价关系
IF 0.58 Q3 Engineering Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020126
E. A. Nurminski

Several useful correspondences between general convex optimization problems, supportfunctions, and projection operations are established. These correspondences cover the asymptoticequivalence of projection operations and computation of support functions for general convex sets,hence the same equivalence for general convex optimization problems, and the equivalencebetween least-norm problems and the problem of regularized convex suplinear optimization.

在一般凸优化问题、支持函数和投影运算之间建立了一些有用的对应关系。这些对应关系涵盖了一般凸集的投影运算和支持函数的计算的渐近等价,因此一般凸优化问题也具有相同的等价性,以及最小范数问题与正则化凸上线性优化问题之间的等价性。
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引用次数: 0
Direct Numerical Simulation of the Peripheral and Internal Configurations of a Model Assembly of Fuel Elements 燃料元件模型组件外围和内部结构的直接数值模拟
IF 0.58 Q3 Engineering Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020102
V. A. Ivashchenko, P. D. Lobanov, N. I. Yavorsky, M. P. Tokarev, R. I. Mullyadzhanov

Owing to the active development of nuclear energy in the world and in Russia, increasingattention is paid to the issues of energy efficiency and safety of nuclear reactors. Although most ofthe reactors operating today have already been well studied, some hydrodynamic questions relatedto the flow of the moderator along the fuel elements still remain open. In particular, this paperconsiders the equivalence of flow in the peripheral and internal regions of the fuel assembly.

由于核能在世界和俄罗斯的积极发展,人们越来越重视核反应堆的能源效率和安全问题。尽管目前运行的大多数反应堆已经得到了很好的研究,但是一些与慢化剂沿着燃料元件流动有关的流体动力学问题仍然没有解决。特别地,本文考虑了燃料组件外围和内部区域流动的等效性。
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引用次数: 0
A Testing Set for Preparata-Like Codes 类准备代码的测试集
IF 0.58 Q3 Engineering Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020205
A. Yu. Vasil’eva

The reconstruction of an object of a given class by its intersection with some (so-calledtesting) set is studied. For the class, we consider Preparata-like codes, i.e., nonlinear codes oflength( n=2^{2m}-1 ),( m=2,3,dots ), with code distance 5 and twice the size of a linear code of the same lengthand distance. Conditions are determined under which the union of a few concentric spheres formsa testing set for Preparata-like codes.

研究了给定类对象与某个(所谓的测试)集的交集对其进行重构的问题。对于该类,我们考虑类prepare码,即长度为( n=2^{2m}-1 ), ( m=2,3,dots )的非线性码,码距为5,是相同长度和距离的线性码的两倍。确定了几个同心球的并集构成拟备码测试集的条件。
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引用次数: 0
Mathematical Modelling of COVID-19 Incidence in Moscow with an Agent-Based Model 基于agent模型的莫斯科COVID-19发病率数学模型
IF 0.58 Q3 Engineering Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020217
V. V. Vlasov, A. M. Deryabin, O. V. Zatsepin, G. D. Kaminsky, E. V. Karamov, A. L. Karmanov, S. N. Lebedev, G. N. Rykovanov, A. V. Sokolov, M. A. Teplykh, A. S. Turgiyev, K. E. Khatuntsev

The outbreak of the COVID-19 pandemic created an emergency situation in the publichealth system in Russia and in the world, which entailed the need to develop tools for predictingthe progression of the pandemic and assessing the potential interventions. In the present daycontext, numerical simulation is actively used to solve such problems. The paper considers aCOVID-19 agent-based megalopolis model. The model was developed in 2020 and was furtherrefined in subsequent years. The capabilities of the model include the description of simultaneousspread of several virus strains and taking into account data on vaccination and populationactivity. The model parameters are calculated using statistical data on the daily number of newlydiagnosed COVID-19 cases.

2019冠状病毒病大流行的爆发使俄罗斯和全世界的公共卫生系统处于紧急状态,这就需要开发预测大流行进展和评估潜在干预措施的工具。在当今的背景下,数值模拟被积极地用于解决这类问题。本文考虑了基于agent的covid -19特大城市模型。该模型于2020年开发,并在随后的几年中进一步完善。该模型的功能包括描述几种病毒株的同时传播,并考虑到疫苗接种和人口活动的数据。模型参数是根据每日新诊断病例数的统计数据计算的。
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引用次数: 0
Numerical Analytical Methods for Calculating Wave Fields and Reconstructing the Velocity Characteristics of Inhomogeneous Elastic Media in the Baikal Rift Zone 贝加尔湖裂谷带非均匀弹性介质波场计算与速度特征重建的数值解析方法
IF 0.58 Q3 Engineering Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020114
M. S. Khairetdinov, A. A. Mikhailov, V. V. Kovalevsky, D. L. Pinigina, A. A. Yakimenko

On the basis of a numerical method for solving direct and inverse problems, a method hasbeen developed for tracking the dynamics of the propagation of a seismohydroacoustic wave field,constructing model seismograms, and estimating the velocity characteristics of the complexgeophysical structure of the Baikal rift zone in the area of the Babushkin village (southeasternBaikal) and the Buguldeika village (northwestern Baikal). The choice of the profile for modeling isdue to the experimental work performed here by the Institute of Physics of the Earth of theRussian Academy of Sciences, the Institute of Computational Mathematics and MathematicalGeophysics of the Siberian Branch of the Russian Academy of Sciences, and the Institute ofGeology of the Siberian Branch of the Russian Academy of Sciences in 2021. The algorithm forsolving the direct problem of wave field reconstruction is based on applying the Laguerre integraltransform in time and finite-difference approximation in the spatial coordinates. The numericalmodel of the medium used to calculate the propagation of seismic waves is established taking intoaccount a priori data on the velocity section of the Baikal rift zone obtained by a number ofresearchers in the region according to the data of deep seismic sounding of the Earth. The resultsof direct numerical modeling assume the prediction of the complex structure of the wave field andare intended to facilitate its interpretation. As an approach to solving the inverse problem ofreconstructing the velocity characteristics of an inhomogeneous medium, a computational gridalgorithm based on calculating weighted average velocities in sections of the grid superimposed onthe Earth’s surface is proposed and tested. By choosing the grid step and the method forapproximating the discrete wave travel time curve by cubic splines and taking into account thecurvature of the head wave travel time curve in areas with a pronounced inhomogeneity of themedium structure, it is possible to determine the velocity characteristic with an increasedaccuracy. The consistency of the reconstructed theoretical velocity model of the medium with themodel experimentally obtained by the method of deep seismic sounding is shown.

在求解正反问题的数值方法的基础上,提出了一种在巴布什金村(贝加尔湖东南部)和布古尔代卡村(贝加尔湖西北部)地区跟踪地震水声波场传播动力学、构建模型地震图和估计贝加尔湖裂谷带复杂地球物理结构速度特征的方法。选择该剖面进行建模是由于俄罗斯科学院地球物理研究所、俄罗斯科学院西伯利亚分院计算数学和数学地球物理研究所以及俄罗斯科学院西伯利亚分院地质研究所于2021年在这里进行的实验工作。直接求解波场重建问题的算法基于时间上的拉盖尔积分变换和空间坐标上的有限差分逼近。考虑到贝加尔湖裂谷地区多名研究人员根据地球深部地震测深资料获得的速度剖面先验资料,建立了计算地震波传播介质的数值模型。直接数值模拟的结果假设波场的复杂结构的预测,并旨在促进其解释。作为求解非均匀介质速度特征反演问题的一种方法,提出了一种基于计算地球表面叠加网格分段的加权平均速度的计算网格算法,并进行了试验。通过选择网格阶跃和三次样条近似离散波走时曲线的方法,并考虑介质结构明显不均匀区域的头波走时曲线的曲率,可以提高速度特性的确定精度。重建的理论速度模型与深震测深方法实验得到的模型吻合良好。
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引用次数: 0
Numerical Investigation of the Structure of Turbulent Flow and Heat Transfer in a Planar Channel with Hexagonal Honeycomb of Varying Depth 变深度六角形蜂窝平面通道内紊流与换热结构的数值研究
IF 0.58 Q3 Engineering Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020023
A. V. Barsukov, V. V. Terekhov, V. I. Terekhov

The results of a numerical calculation by the RANS method of a separated flow in aplanar channel in the presence of a honeycomb surface are presented. The calculation is performedfor Reynolds numbers (( 14thinspace 000leqslant mathrm {Re}leqslant 28thinspace 000 )) determined from the average mass velocity and channel height. Thedistribution of the local Nusselt number is obtained for various Reynolds numbers and cell depths.It is shown that the distribution of the Nusselt number on the surface is highly nonuniform; inparticular, the maximum heat transfer is observed near the upper face of the ribs, in the vicinityof which the largest velocity gradient is observed.

本文给出了蜂窝面存在时平面通道内分离流动的RANS数值计算结果。计算执行雷诺数(( 14thinspace 000leqslant mathrm {Re}leqslant 28thinspace 000 ))由平均质量速度和通道高度确定。得到了不同雷诺数和单元深度下的局部努塞尔数分布。结果表明,表面上的努塞尔数分布极不均匀;特别是,在肋的上表面附近观察到最大的换热,在其附近观察到最大的速度梯度。
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引用次数: 0
Nonlocal Inverse Problem for Determining the Unknown Coefficient in the Beam Vibration Equation 梁振动方程中未知系数的非局部反演问题
IF 0.58 Q3 Engineering Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020060
U. D. Durdiev, Z. R. Bozorov

The paper is devoted to the study of the direct problem for the vibration ofa homogeneous beam of finite length with nonlocal time conditions. Necessary and sufficientconditions for the existence of a solution of the direct problem are obtained. For the directproblem, we study the inverse problem of determining the time-dependent coefficient multiplyinga lower-order derivative. Using the eigenvalues and eigenfunctions, the problem is reduced toa system of integral equations. The existence and uniqueness of the solution of inverse problemsare shown using the Banach principle.

本文研究了具有非局部时间条件的有限长度均匀梁的直接振动问题。得到了直接问题解存在的充分必要条件。对于直接问题,我们研究了确定时间相关系数乘以低阶导数的反问题。利用特征值和特征函数,将问题简化为一个积分方程组。利用巴拿赫原理证明了反问题解的存在唯一性。
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引用次数: 0
Phase Image Decoding Algorithm for Three-Dimensional Geometry Measurements of Dynamic Objects 动态物体三维几何测量的相位图像解码算法
IF 0.58 Q3 Engineering Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020072
S. V. Dvoinishnikov, D. V. Kulikov, V. G. Meledin, V. V. Rakhmanov

We propose an algorithm for decoding phase images that has algorithmic complexity( O(Nlog N) ). The method is based on an iterative search for the minimum deviation ofthe model function from the measurement results. The use of an interval search algorithmpermitted considerably reducing the computational complexity of the algorithm. The error of theproposed method is comparable to the error of the phase image decoding method based on theanalytical solution of the system of equations describing the intensity in the phase images.

我们提出了一种具有算法复杂度的相位图像解码算法( O(Nlog N) )。该方法基于对模型函数与测量结果的最小偏差的迭代搜索。区间搜索算法的使用大大降低了算法的计算复杂度。该方法的误差与基于相位图像中描述强度的方程组解析解的相位图像解码方法的误差相当。
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引用次数: 0
Numerical Investigation of the Interaction between a Shock Wave and Aqueous Foam with Compaction 冲击波与含压实泡沫水相互作用的数值研究
IF 0.58 Q3 Engineering Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020059
P. A. Chuprov, S. V. Fortova, P. S. Utkin

A numerical study of the interaction of a blast wave with liquid foam is carried out usingthe system of Baer–Nunziato equations. This problem is aimed at studying the influence of thecompaction mechanism on the re-reflection wave pattern. A computational algorithm based on theHLL method is developed. Comparison of the results with computational experiments by otherauthors shows that taking into account the compaction mechanism leads to better results.

利用Baer-Nunziato方程组对爆炸波与液体泡沫的相互作用进行了数值研究。该问题旨在研究压缩机制对再反射波型的影响。提出了一种基于hll方法的计算算法。结果与其他作者的计算实验结果比较表明,考虑压实机制可以得到更好的结果。
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引用次数: 0
On the Solvability of an Initial–Boundary Value Problem for a High Even Order Partial Differential Equation Degenerating on the Domain Boundary 高偶阶偏微分方程在区域边界上退化的初边值问题的可解性
IF 0.58 Q3 Engineering Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020199
A. K. Urinov, M. S. Azizov

An initial–boundary value problem is posed in a rectangle for a degenerate partialdifferential equation of high even order with a Bessel operator. The existence, uniqueness, andstability of a solution of the problem under study are proved.

利用贝塞尔算子,在矩形上给出了退化高偶阶偏微分方程的初边值问题。证明了所研究问题解的存在性、唯一性和稳定性。
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引用次数: 0
期刊
Journal of Applied and Industrial Mathematics
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