Journal of Applied and Industrial Mathematics最新文献_第4页

Calculation of Thermal Currents in a Tungsten Plate and in aThin Layer of Tungsten Vapor during Pulse Heating with Allowance for Temperature- andPhase-Dependent Electrical Resistance and Thermo EMF 脉冲加热时钨板和钨蒸气薄层的热电流计算，考虑温度和相位相关电阻和热电动势

IF 0.58

Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030086

G. G. Lazareva, V. A. Popov

引用次数: 0

A Computational Study of Cuttings Transportin a Horizontal Well with an Oil-Based Drilling Fluid Modified by Multiwalled CarbonNanotubes 多壁碳纳米管改性油基钻井液水平井岩屑运移的计算研究

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Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030190

V. A. Zhigarev, D. V. Guzei, E. I. Lysakova, V. Ya. Rudyak, A. V. Minakov

{"title":"A Computational Study of Cuttings Transport\u0000in a Horizontal Well with an Oil-Based Drilling Fluid Modified by Multiwalled Carbon\u0000Nanotubes","authors":"V. A. Zhigarev, D. V. Guzei, E. I. Lysakova, V. Ya. Rudyak, A. V. Minakov","doi":"10.1134/S1990478924030190","DOIUrl":"10.1134/S1990478924030190","url":null,"abstract":" We have conducted a computational study of the effect of adding multiwalled carbon\u0000nanotubes (MWCNTs) to oil-based drilling fluids on the efficiency of cuttings removal from\u0000an annular channel simulating a horizontal section of a well. To simulate the process of sludge\u0000transport in an annular channel, a mathematical model based on the Eulerian approach of\u0000a granular medium for a turbulent flow regime has been developed. The rheology of the drilling\u0000fluid modified with MWCNTs was described by the Herschel–Bulkley model with experimentally\u0000determined rheological coefficients. The base oil-based drilling fluid was an inverse emulsion with\u0000a ratio of hydrocarbon and water phases equal to 65/35. The concentration of MWCNTs in\u0000solutions varied from 0.1 to 0.5 wt %. The size of the transported sludge particles varied\u0000from 2 to 7 mm. The flow structure of a two-phase flow in an annular channel for various\u0000concentrations of MWCNTs has been studied. The dependences of the sludge removal efficiency\u0000coefficient, the average slip speed of sludge particles, and pressure losses on the concentration of\u0000nanotubes are obtained. It has been established that the addition of nanotubes leads to a\u0000significant change in the flow pattern of the drilling fluid and, as a result, to a change in the\u0000modes of cuttings transport. Addition of 0.5 wt % of MWCNTs leads to an increase in the\u0000efficiency of well flushing by approximately 40%. Thus, based on the results of the computational\u0000study, it has been shown that the addition of multiwalled nanotubes to oil-based drilling fluids can\u0000lead to an increase in the efficiency of cuttings transport in horizontal wells.\u0000","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"598 - 611"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Cubic Version of the Least-Squares Collocation Method andIts Application to the Calculationof Plate Bending 最小二乘配置法的三次形式及其在板弯曲计算中的应用

IF 0.58

Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030074

S. K. Golushko, L. S. Bryndin, V. A. Belyaev, A. G. Gorynin

{"title":"A Cubic Version of the Least-Squares Collocation Method and\u0000Its Application to the Calculation\u0000of Plate Bending","authors":"S. K. Golushko, L. S. Bryndin, V. A. Belyaev, A. G. Gorynin","doi":"10.1134/S1990478924030074","DOIUrl":"10.1134/S1990478924030074","url":null,"abstract":" A new cubic version of the least-squares collocation method based on adaptive grids is\u0000developed. Approximate values of the solution and its first derivatives at the vertices of\u0000quadrangular cells are the unknowns. This approach has made it possible to eliminate the\u0000matching conditions from the global overdetermined system of linear algebraic equations\u0000consisting of collocation equations and boundary conditions. The preconditioned system is solved\u0000using the SuiteSparse library by the\u0000orthogonal method with the CUDA parallel programming technology. We consider the\u0000Reissner–Mindlin plate problem in a mixed formulation. A higher accuracy of deflections and\u0000rotations of the transverse normal in comparison with the isogeometric collocation method as well\u0000as the uniform convergence of shear forces in the case of a thin plate are shown in the proposed\u0000method. Bending of an annular plate and round plates with an off-center hole is analyzed. An\u0000increase in the shear force gradient in the vicinity of the hole is shown both with a decrease in the\u0000plate thickness and with an increase in the eccentricity. The second order of convergence of the\u0000developed method is shown numerically. The results obtained using the Reissner–Mindlin theory\u0000are compared with the ones in the Kirchhoff–Love theory and three-dimensional finite element\u0000simulation.\u0000","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"448 - 464"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Search for Locally Optimal Strategies in a Linear Game Problemwith Favorable Situations 有利条件下线性博弈问题的局部最优策略搜索

IF 0.58

Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030104

A. R. Mamatov

{"title":"Search for Locally Optimal Strategies in a Linear Game Problem\u0000with Favorable Situations","authors":"A. R. Mamatov","doi":"10.1134/S1990478924030104","DOIUrl":"10.1134/S1990478924030104","url":null,"abstract":" A linear game problem for two players is considered. The two players alternately choose\u0000their strategies from their respective sets. First, player 1 chooses his/her strategy, then player 2,\u0000knowing the strategy of player 1, does the same. The set of strategies of player 2 depends on the\u0000strategy of player 1. The goal of player 1 is to choose a strategy to maximize a convex and\u0000piecewise linear function (the minimum function of the strategy of player 2). The goal of player 2\u0000is to minimize the linear function. An algorithm is proposed that allows constructing strategies in\u0000this problem, as well as strategies in the dual problem, that satisfy necessary “higher-order”\u0000optimality conditions. This algorithm uses a formula for the increment of the objective function in\u0000the dual problem. Theorems that assert the finiteness of the proposed algorithm and its\u0000modification are proved. An example illustrating the operation of the algorithm is given. The\u0000results of a numerical experiment on the construction of strategies that satisfy the necessary\u0000“higher-order” optimality conditions in problems whose elements were generated by a random\u0000number generator are also presented. Based on the results of the numerical experiment, we can\u0000conclude that with the proposed algorithm, it is often possible to switch from one locally optimal\u0000strategy of player 1 to another one increasing the objective function.\u0000","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"489 - 502"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical Studies of the Phase Field Model Describing ElectricBreakdown in a Heterogeneous Medium 描述非均质介质中电击穿的相场模型的数值研究

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Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030207

E. V. Zipunova, A. A. Kuleshov, E. B. Savenkov

引用次数: 0

Radon Transform Inversion Formula in the Classof Discontinuous Functions 不连续函数类中的Radon变换反演公式

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Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030013

D. S. Anikonov, D. S. Konovalova

引用次数: 0

A Study of the Threshold Stability of the Bilevel Problemof Facility Location and Discriminatory Pricing 设施选址与歧视性定价双层问题的阈值稳定性研究

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Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030165

M. E. Vodyan, A. A. Panin, A. V. Plyasunov

{"title":"A Study of the Threshold Stability of the Bilevel Problem\u0000of Facility Location and Discriminatory Pricing","authors":"M. E. Vodyan, A. A. Panin, A. V. Plyasunov","doi":"10.1134/S1990478924030165","DOIUrl":"10.1134/S1990478924030165","url":null,"abstract":" The problem of threshold stability for a bilevel problem with a median type of facility\u0000location and discriminatory pricing is considered. When solving such a problem, it is necessary to\u0000find the threshold stability radius and a semifeasible solution of the original bilevel problem such\u0000that the leader’s revenue is not less than a predetermined value (threshold) for any deviation of\u0000budgets that does not exceed the threshold stability radius and which preserves its semifeasibility.\u0000Thus, the threshold stability radius determines the limit of disturbances of consumer budgets with\u0000which these conditions are satisfied.\u0000Two approximate algorithms for solving the threshold stability problem based on\u0000the heuristic of descent with alternating neighborhoods are developed. These algorithms are based\u0000on finding a good approximate location of facilities as well as on calculating the optimal set of\u0000prices for the found location of facilities. The algorithms differ in the way they compare various\u0000locations of facilities; this ultimately leads to different estimates of threshold stability radius. A\u0000numerical experiment has shown the efficiency of the chosen approach both in terms of the\u0000running time of the algorithms and the quality of the solutions obtained.\u0000","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"558 - 574"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Perfect Colorings of Submatrix Hypergraphs 子矩阵超图的完全着色

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Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030050

S. O. Borodin, A. A. Taranenko

引用次数: 0

Inverse Problems of Finding a Sourcein the Heat Equation from a Nonlocal Observation 从非局部观测求热方程源的反问题

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Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030141

K. B. Sabitov

引用次数: 0

Approximate Near-Front Ray Solutionsin the Axisymmetric Strain Dynamicsof a Linear Elastic Half-Space 线性弹性半空间轴对称应变动力学的近似近前射线解