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Hydrodynamic Modeling of Laser-Induced Shock Waves in Aluminum in a Cylindrically Symmetric Statement 圆柱对称条件下铝中激光激波的流体动力学模拟
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020163
V. V. Shepelev
{"title":"Hydrodynamic Modeling of Laser-Induced Shock Waves in Aluminum in a Cylindrically Symmetric Statement","authors":"V. V. Shepelev","doi":"10.1134/S1990478923020163","DOIUrl":"10.1134/S1990478923020163","url":null,"abstract":"<p> Using two-dimensional cylindrically symmetric physical and mathematical model and an\u0000algorithm, a numerical investigation of the problem of irradiating a volumetric aluminum target\u0000with a single femtosecond laser pulse is carried out. The problem has a number of fundamental\u0000and practical applications related to the hardening effect of residual plastic deformations after the\u0000passage of a laser-induced shock wave, in particular, laser shock hardening technology, also known\u0000in the literature as laser forging, laser riveting, or laser peening. The axial symmetry of laser beam\u0000permits one to reduce the dimension of the problem from three to two and save considerable\u0000computational resources. Semiempirical equation of state of aluminum in the\u0000Mie–Grüneisen form is used with the adjustment of parameters according to the cold\u0000curve of the metal and the data of shock-wave experiments. The law of shock wave propagation\u0000and attenuation is investigated, and the stages of (1) single, (2) transient, and (3) hemispherical\u0000shock wave propagation are identified. The size and shape of the area on which the strengthening\u0000effect can be carried out by a single femtosecond laser pulse are described.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 2","pages":"385 - 395"},"PeriodicalIF":0.58,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4290304","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
Inverse Problem of Pure Bending of a Beam under Creep Conditions 梁在蠕变条件下的纯弯曲反问题
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020047
S. V. Boyko, A. Yu. Larichkin
{"title":"Inverse Problem of Pure Bending of a Beam under Creep Conditions","authors":"S. V. Boyko,&nbsp;A. Yu. Larichkin","doi":"10.1134/S1990478923020047","DOIUrl":"10.1134/S1990478923020047","url":null,"abstract":"<p> We propose an algorithm for solving the inverse problem of forming structural members\u0000under creep conditions using the Nelder–Mead algorithm. The initial problem of finding the forces\u0000that must be applied to obtain the desired curvature of a part is reduced to a sequence of\u0000auxiliary direct problems of modeling the stress-strain state of pure bending of rectangular beams.\u0000This model, taking into account the difference in the properties of the material in tension and\u0000compression as well as the presence of accumulated damage in the material during creep, was\u0000verified by numerical methods and implemented in the finite element program <span>MSC Marc</span>.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 2","pages":"260 - 271"},"PeriodicalIF":0.58,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4286417","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
An Effective Multigrid Method for Solving Problems of High-Frequency Vibrational Convection 求解高频振动对流问题的有效多重网格法
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020096
A. I. Fedyushkin, K. A. Ivanov, A. A. Puntus
{"title":"An Effective Multigrid Method for Solving Problems of High-Frequency Vibrational Convection","authors":"A. I. Fedyushkin,&nbsp;K. A. Ivanov,&nbsp;A. A. Puntus","doi":"10.1134/S1990478923020096","DOIUrl":"10.1134/S1990478923020096","url":null,"abstract":"<p> The paper describes an implemented algorithm for solving the problem of vibrational\u0000convection in a rectangular domain filled with an unevenly heated incompressible fluid. The\u0000mathematical model is based on the solution of the Simonenko–Zenkovskaya equations obtained\u0000by averaging the Navier-Stokes equations under the assumption that the volume of liquid executes\u0000high-frequency translational vibrations. To solve the Poisson equations, an algebraic multigrid\u0000method is implemented in combination with a highly efficient dynamic programming method\u0000(based on R. Bellman’s optimal control principle) and fast Fourier transform. Mathematical\u0000software written in <span>C/C++</span> has\u0000been developed. Examples of solving model problems with various directions of the heating flow of\u0000a square domain relative to the vibration vector are given.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 2","pages":"307 - 319"},"PeriodicalIF":0.58,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4289848","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
Interaction of a Liquid Drop with a Superhydrophobic Surface 液滴与超疏水表面的相互作用
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-08-07 DOI: 10.1134/S1990478923020187
P. M. Somvanshi, V. V. Cheverda, O. A. Kabov
{"title":"Interaction of a Liquid Drop with a Superhydrophobic Surface","authors":"P. M. Somvanshi,&nbsp;V. V. Cheverda,&nbsp;O. A. Kabov","doi":"10.1134/S1990478923020187","DOIUrl":"10.1134/S1990478923020187","url":null,"abstract":"<p> The interaction of a liquid drop with a copper surface is studied. The substrate is assumed\u0000to be superhydrophobic with a wetting angle of\u0000<span>( 150^circ )</span>. Based on the volume of the drop, the Bond and Weber numbers are\u0000approximately 0.23 and 1.6, respectively. The temperature of the surface and the surrounding air\u0000is 298 K, and the temperature of the liquid drop is 5K lower. Simulation of conjugate heat\u0000transfer is performed using an axisymmetric coordinate system. The Kistler contact line model is\u0000used to determine the dynamic contact angle of a drop during spreading. The change in the shear\u0000stress on the substrate and the heat flux induced during the propagation of the drop as a function\u0000of time is studied.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 2","pages":"405 - 413"},"PeriodicalIF":0.58,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4291023","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
Defining Equations of the Anisotropic Moment Linear Theory of Elasticity and the Two-Dimensional Problem of Pure Shear with Constrained Rotation 各向异性矩的定义方程线性弹性理论与二维约束旋转纯剪切问题
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-05-15 DOI: 10.1134/S1990478923010015
B. D. Annin, N. I. Ostrosablin, R. I. Ugryumov
{"title":"Defining Equations of the Anisotropic Moment Linear Theory of Elasticity and the Two-Dimensional Problem of Pure Shear with Constrained Rotation","authors":"B. D. Annin,&nbsp;N. I. Ostrosablin,&nbsp;R. I. Ugryumov","doi":"10.1134/S1990478923010015","DOIUrl":"10.1134/S1990478923010015","url":null,"abstract":"<p> The paper presents the equations of the linear moment theory of elasticity for the case of\u0000arbitrary anisotropy of material tensors of the fourth rank. Symmetric and skew-symmetric\u0000components are distinguished in the defining relations. Some simplified versions of linear defining\u0000relations are considered. The possibility of Cauchy elasticity is allowed when material tensors of\u0000the fourth rank do not have the main symmetry. For material tensors that determine force and\u0000couple stresses, we introduce eigenmoduli and eigenstates that are invariant characteristics of an\u0000elastic moment medium. For the case of plane deformation and constrained rotation, an example\u0000of a complete solution of the two-dimensional problem is given when there are only shear stresses.\u0000The solutions turn out to be significantly different for anisotropic and isotropic elastic media.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 1","pages":"1 - 14"},"PeriodicalIF":0.58,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4621358","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
Inverse Problem for the Wave Equation with a Polynomial Nonlinearity 一类多项式非线性波动方程的反问题
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-05-15 DOI: 10.1134/S1990478923010180
V. G. Romanov, T. V. Bugueva
{"title":"Inverse Problem for the Wave Equation with a Polynomial Nonlinearity","authors":"V. G. Romanov,&nbsp;T. V. Bugueva","doi":"10.1134/S1990478923010180","DOIUrl":"10.1134/S1990478923010180","url":null,"abstract":"<p> For the wave equation containing a nonlinearity in the form of an\u0000<span>( n )</span>th order polynomial, we study the problem of determining the coefficients of\u0000the polynomial depending on the variable\u0000<span>( xin mathbb {R}^3 )</span>. We consider plane waves that propagate in a homogeneous medium in the\u0000direction of a unit vector\u0000<span>( boldsymbol nu )</span> with a sharp front and incident on an inhomogeneity localized inside a\u0000certain ball\u0000<span>( B(R) )</span>. It is assumed that the solutions of the problems can be measured at the\u0000points of the boundary of this ball at the instants of time close to the arrival of the wavefront for\u0000all possible values of the vector\u0000<span>( boldsymbol nu )</span>. It is shown that the solution of the inverse problem is reduced to a series of\u0000X-ray tomography problems.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 1","pages":"163 - 167"},"PeriodicalIF":0.58,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4621378","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: 3
Numerical Investigation of a Viscous Two-Dimensional Fluid Flow in a Closed Cell 闭孔内粘性二维流体流动的数值研究
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-05-15 DOI: 10.1134/S1990478923010064
A. N. Doludenko, I. V. Kolokolov, V. V. Lebedev, S. V. Fortova
{"title":"Numerical Investigation of a Viscous Two-Dimensional Fluid Flow in a Closed Cell","authors":"A. N. Doludenko,&nbsp;I. V. Kolokolov,&nbsp;V. V. Lebedev,&nbsp;S. V. Fortova","doi":"10.1134/S1990478923010064","DOIUrl":"10.1134/S1990478923010064","url":null,"abstract":"<p> A two-dimensional flow of a viscous fluid in a cell of finite size is studied numerically. The\u0000flow arises as a result of an inverse cascade supported by a constant pumping. Several distinct\u0000states are observed. One of them is dominated by a large eddy with a well-defined average velocity\u0000profile. In the second state, strong chaotic large-scale fluctuations predominate. A laminar flow is\u0000observed in the third state. The nature of the resulting state depends on the fluid kinematic\u0000viscosity coefficient, the magnitude of the external pumping force wave vector, and the value of\u0000the bottom friction factor. When the values of the kinematic viscosity and wave vector are fixed, a\u0000small value of the bottom friction factor leads to the appearance of the first state. As the\u0000coefficient of the bottom friction factor increases, there occurs a transition from a flow with one\u0000large vortex to a laminar flow through a series of states with several unstable vortices, which we\u0000call chaotic motion. The paper presents the results of numerical simulation of a weakly\u0000compressible viscous fluid flow in a closed cell with no-slip boundary conditions on the walls.\u0000Pumping is carried out by a static force periodic in space in two directions. The simulation is\u0000carried out for various values of the bottom friction factor.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 1","pages":"51 - 57"},"PeriodicalIF":0.58,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4625203","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
On Search of a Nash Equilibrium in Quasiconcave Quadratic Games 拟凹洞二次对策中纳什均衡的搜索
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-05-15 DOI: 10.1134/S1990478923010131
I. M. Minarchenko
{"title":"On Search of a Nash Equilibrium in Quasiconcave Quadratic Games","authors":"I. M. Minarchenko","doi":"10.1134/S1990478923010131","DOIUrl":"10.1134/S1990478923010131","url":null,"abstract":"<p> The Nash equilibrium problem with nonconcave quadratic payoff functions is considered.\u0000We analyze conditions that provide quasiconcavity of payoff functions in their own variables on\u0000the respective strategy sets and hence guarantee the existence of an equilibrium point. One such\u0000condition is that the matrix of every payoff function has exactly one positive eigenvalue; this\u0000condition is viewed as a basic assumption in the paper. We propose an algorithm that either\u0000converges to an equilibrium point or declares that the game has no equilibria. It is shown that\u0000some stages of the algorithm are noticeably simplified for quasiconcave games. The algorithm is\u0000tested on small-scale instances.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 1","pages":"120 - 130"},"PeriodicalIF":0.58,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4621363","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
Mathematical Modeling of Suspension Flow in the System of Intersecting Fractures 相交裂缝系统中悬浮流动的数学建模
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-05-15 DOI: 10.1134/S1990478923010246
R. R. Iulmukhametova, A. A. Musin, V. I. Valiullina, L. A. Kovaleva
{"title":"Mathematical Modeling of Suspension Flow in the System of Intersecting Fractures","authors":"R. R. Iulmukhametova,&nbsp;A. A. Musin,&nbsp;V. I. Valiullina,&nbsp;L. A. Kovaleva","doi":"10.1134/S1990478923010246","DOIUrl":"10.1134/S1990478923010246","url":null,"abstract":"<p> In this paper, mathematical modeling of the suspension flow in a complex system of\u0000fractures, when the main fracture is crossed by the secondary one, is carried out. The\u0000mathematical model of the process is constructed in the one-fluid approximation and includes the\u0000continuity equation for the suspension, the system of equations of suspension motion, and the\u0000mass conservation equation in the form of a convective—diffusion transfer equation for the volume\u0000concentration of particles. The solution to the problem in a 3D formulation is implemented in the\u0000<span>OpenFOAM</span> software package. The\u0000dynamics of the distribution of solid spherical particles in the network of fractures is studied\u0000depending on the ratio of the characteristic Reynolds numbers for the flow and particles, as well as\u0000on the ratio of the lengths of the main and secondary fractures.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 1","pages":"225 - 233"},"PeriodicalIF":0.58,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4624110","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
Mathematical Modeling of Heat Transfer in a Room with a Gas Infrared Emitter, an Air Exchange System, and a Local Fence of the Working Area 带有气体红外发射器、空气交换系统和工作区域局部围栏的房间传热的数学建模
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-05-15 DOI: 10.1134/S1990478923010027
B. V. Borisov, A. V. Vyatkin, G. V. Kuznetsov, V. I. Maksimov, T. A. Nagornova
{"title":"Mathematical Modeling of Heat Transfer in a Room with a Gas Infrared Emitter, an Air Exchange System, and a Local Fence of the Working Area","authors":"B. V. Borisov,&nbsp;A. V. Vyatkin,&nbsp;G. V. Kuznetsov,&nbsp;V. I. Maksimov,&nbsp;T. A. Nagornova","doi":"10.1134/S1990478923010027","DOIUrl":"10.1134/S1990478923010027","url":null,"abstract":"<p> Mathematical modeling of heat transfer processes in a room with a gas infrared emitter,\u0000an air exchange system, a horizontal panel simulating equipment, and a local fence has been\u0000carried out. The system of radiative heat transfer, energy, and Navier–Stokes equations for air and\u0000heat equations for solid elements was solved. The temperature and air velocity fields obtained as a\u0000result of modeling illustrate the possibility of controlling the thermal regime of the local working\u0000area when a special fence is installed at its boundary. It was established that by changing the\u0000fence height and material one can change the local and average air temperatures in the local\u0000working area. The results of numerical studies suggest that by varying the local fence parameters\u0000one can create more comfortable temperature conditions in the local working area when gas\u0000infrared emitters operate under sufficiently intense air exchange conditions.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 1","pages":"15 - 24"},"PeriodicalIF":0.58,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4620870","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
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