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Using Piecewise Parabolic Reconstruction of Physical Variables in the Rusanov Solver. I. The Special Relativistic Hydrodynamics Equations 在 Rusanov 求解器中使用物理变量的分段抛物线重构。I. 狭义相对论流体力学方程
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-02-16 DOI: 10.1134/S1990478923040051
I. M. Kulikov
{"title":"Using Piecewise Parabolic Reconstruction of Physical Variables in the Rusanov Solver. I. The Special Relativistic Hydrodynamics Equations","authors":"I. M. Kulikov","doi":"10.1134/S1990478923040051","DOIUrl":"10.1134/S1990478923040051","url":null,"abstract":"<p> The Rusanov solver for solving hydrodynamic equations is one of the most robust schemes\u0000in the class of Riemann solvers. For special relativistic hydrodynamics, the robustness condition of\u0000the scheme is the most important property, especially for sufficiently high values of the Lorentz\u0000factor. At the same time, the Rusanov solver is known to be very dissipative. It is proposed to use\u0000a piecewise parabolic representation of physical variables to reduce the dissipation of the Rusanov\u0000scheme. Using this approach has made it possible to obtain a scheme with the same dissipative\u0000properties as Roe-type schemes and the family of Harten–Lax–van Leer schemes. Using the\u0000problem of the decay of a relativistic hydrodynamic discontinuity, it is shown that the present\u0000author’s version of the Rusanov scheme is advantageous in terms of reproducing a contact\u0000discontinuity. The scheme is verified on classical problems of discontinuity decay and on the\u0000problem of the interaction of two relativistic jets in the three-dimensional formulation.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 4","pages":"737 - 749"},"PeriodicalIF":0.58,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139757379","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
Curl Equation in Viscous Hydrodynamics in a Channel of Complex Geometry 复杂几何形状水道粘性流体力学中的卷曲方程
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-02-16 DOI: 10.1134/S1990478923040166
S. A. Vasyutkin, A. P. Chupakhin
{"title":"Curl Equation in Viscous Hydrodynamics in a Channel of Complex Geometry","authors":"S. A. Vasyutkin,&nbsp;A. P. Chupakhin","doi":"10.1134/S1990478923040166","DOIUrl":"10.1134/S1990478923040166","url":null,"abstract":"<p> We consider the Navier–Stokes equations for the plane steady motion of a viscous\u0000incompressible fluid in an orthogonal coordinate system in which the fluid streamlines coincide\u0000with the coordinate lines of one of the families of the orthogonal coordinate system. In this\u0000coordinate system, the velocity vector has only the tangential component and the system of three\u0000Navier–Stokes equations is an overdetermined system for two functions—the tangential\u0000component of velocity and pressure. In the present paper, the system is brought to involution, and\u0000the consistency conditions are obtained, which are the equations for the curl of the velocity in this\u0000coordinate system. The coefficients of these equations include the curvatures of the coordinate\u0000lines and their derivatives up to the second order. The equations obtained are significantly more\u0000complicated than the curl equations in a channel of simple geometry.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 4","pages":"892 - 900"},"PeriodicalIF":0.58,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881905","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
Enumeration of Labeled Bi-Block Graphs 标记双块图的枚举
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-02-16 DOI: 10.1134/S1990478923040178
V. A. Voblyi
{"title":"Enumeration of Labeled Bi-Block Graphs","authors":"V. A. Voblyi","doi":"10.1134/S1990478923040178","DOIUrl":"10.1134/S1990478923040178","url":null,"abstract":"<p> A bi-block graph is a connected graph in which all blocks are complete bipartite graphs.\u0000Labeled bi-block graphs and bridgeless bi-block graphs are enumerated exactly and asymptotically\u0000by the number of vertices. It is proved that almost all labeled connected bi-block graphs have no\u0000bridges. In addition, planar bi-block graphs are enumerated, and an asymptotic estimate is found\u0000for the number of such graphs.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 4","pages":"901 - 907"},"PeriodicalIF":0.58,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139757444","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
Reconstruction of Three-Dimensional Vector Fields Based on Values of Normal, Longitudinal, and Weighted Radon Transforms 基于法线、纵向和加权拉顿变换值的三维矢量场重构
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-02-16 DOI: 10.1134/S1990478923040130
I. E. Svetov, A. P. Polyakova
{"title":"Reconstruction of Three-Dimensional Vector Fields Based on Values of Normal, Longitudinal, and Weighted Radon Transforms","authors":"I. E. Svetov,&nbsp;A. P. Polyakova","doi":"10.1134/S1990478923040130","DOIUrl":"10.1134/S1990478923040130","url":null,"abstract":"<p> The paper considers the vector tomography problem of reconstructing a three-dimensional\u0000vector field based on the values of unweighted (normal and longitudinal) and weighted Radon\u0000transforms. Using the detailed decomposition of vector fields obtained in the paper, connections\u0000are established between the unweighted and weighted Radon transforms acting on vector fields\u0000and the Radon transform acting on functions. In particular, the kernels of tomographic integral\u0000operators acting on vector fields are described. Some statements of tomography problems for the\u0000reconstruction of vector fields are considered, and inversion formulas for their solution are\u0000obtained.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 4","pages":"842 - 858"},"PeriodicalIF":0.58,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139757449","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 Verification of the Convexification Method for a Frequency-Dependent Inverse Scattering Problem with Experimental Data 利用实验数据对凸化法处理频率相关反向散射问题进行数值验证
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-02-16 DOI: 10.1134/S199047892304018X
T. Le, V. A. Khoa, M. V. Klibanov, L. H. Nguyen, G. W. Bidney, V. N. Astratov
{"title":"Numerical Verification of the Convexification Method for a Frequency-Dependent Inverse Scattering Problem with Experimental Data","authors":"T. Le,&nbsp;V. A. Khoa,&nbsp;M. V. Klibanov,&nbsp;L. H. Nguyen,&nbsp;G. W. Bidney,&nbsp;V. N. Astratov","doi":"10.1134/S199047892304018X","DOIUrl":"10.1134/S199047892304018X","url":null,"abstract":"<p> The reconstruction of physical properties of a medium from boundary measurements,\u0000known as inverse scattering problems, presents significant challenges. The present study aims to\u0000validate a newly developed convexification method for a 3D coefficient inverse problem in the case\u0000of buried unknown objects in a sandbox, using experimental data collected by a microwave\u0000scattering facility at The University of North Carolina at Charlotte. Our study considers the\u0000formulation of a coupled quasilinear elliptic system based on multiple frequencies. The system can\u0000be solved by minimizing a weighted Tikhonov-like functional, which forms our convexification\u0000method. Theoretical results related to the convexification are also revisited in this work.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 4","pages":"908 - 927"},"PeriodicalIF":0.58,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881801","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
Additional Constraints for Dynamic Competitive Facility Location Problem 动态竞争设施选址问题的附加约束
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S199047892303002X
V. L. Beresnev, A. A. Melnikov
{"title":"Additional Constraints for Dynamic Competitive Facility Location Problem","authors":"V. L. Beresnev,&nbsp;A. A. Melnikov","doi":"10.1134/S199047892303002X","DOIUrl":"10.1134/S199047892303002X","url":null,"abstract":"<p> We consider a competitive facility location model where competing parties (Leader and\u0000Follower) make decisions considering changes of the set of customers happening during the planing\u0000horizon consisting a known number of time periods. It is assumed that the Leader makes a\u0000decision on opening their facilities at the beginning of the planning horizon, while the Follower can\u0000revise their decision in each time period. In the present paper, we study perspectives to apply a\u0000method for finding the best solution that is based on using HP-relaxation of the bilevel problem\u0000considered. The key element of this method is construction of additional inequalities\u0000strengthening the HP-relaxation and computation of upper bounds for the objective function of\u0000the problem. In the paper, we propose new families of additional constraints to strengthen the\u0000HP-relaxation that allow computing nontrivial upper bounds.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"483 - 490"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909044","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 the Integrability and Stability of Stationary Solutions of the Goryachev–Sretensky Gyrostat 关于Goryachev–Sretensky陀螺稳态解的可积性和稳定性
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030092
A. A. Kosov, E. I. Semenov
{"title":"On the Integrability and Stability of Stationary Solutions of the Goryachev–Sretensky Gyrostat","authors":"A. A. Kosov,&nbsp;E. I. Semenov","doi":"10.1134/S1990478923030092","DOIUrl":"10.1134/S1990478923030092","url":null,"abstract":"<p> The equations of motion of the Goryachev–Sretensky gyrostat are studied. All stationary\u0000solutions are found on the invariant set of the zero level of the area integral, and their stability is\u0000analyzed. For the case where the suspension point coincides with the center of mass and the\u0000action of a gyroscopic moment is of a special type, integration by quadratures is performed.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"557 - 570"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909132","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 a Lower Bound for the Number of Bent Functions at the Minimum Distance from a Bent Function in the Maiorana–McFarland Class 关于Maiorana–McFarland类中距Bent函数最小距离处Bent函数个数的下界
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030055
D. A. Bykov, N. A. Kolomeec
{"title":"On a Lower Bound for the Number of Bent Functions at the Minimum Distance from a Bent Function in the Maiorana–McFarland Class","authors":"D. A. Bykov,&nbsp;N. A. Kolomeec","doi":"10.1134/S1990478923030055","DOIUrl":"10.1134/S1990478923030055","url":null,"abstract":"<p> Bent functions at the minimum distance\u0000<span>( 2^n )</span> from a given bent function of\u0000<span>( 2n )</span> variables belonging to the Maiorana–McFarland class\u0000<span>( mathcal {M}_{2n} )</span> are investigated. We provide a criterion for a function obtained using the\u0000addition of the indicator of an\u0000<span>( n )</span>-dimensional affine subspace to a given bent function from\u0000<span>( mathcal {M}_{2n} )</span> to be a bent function as well. In other words, all bent functions at the\u0000minimum distance from a Maiorana–McFarland bent function are characterized. It is shown that\u0000the lower bound\u0000<span>( 2^{2n+1}-2^n )</span> for the number of bent functions at the minimum distance from\u0000<span>( f in mathcal {M}_{2n} )</span> is not attained if the permutation used for constructing\u0000<span>( f )</span> is not an APN function. It is proved that for any prime\u0000<span>( ngeq 5 )</span> there exist functions in\u0000<span>( mathcal {M}_{2n} )</span> for which this lower bound is accurate. Examples of such bent functions are\u0000found. It is also established that the permutations of EA-equivalent functions in\u0000<span>( mathcal {M}_{2n} )</span> are affinely equivalent if the second derivatives of at least one of the\u0000permutations are not identically zero.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"507 - 520"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909135","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 Trees with a Given Diameter and the Extremal Number of Distance-(k) Independent Sets 关于具有给定直径和距离-（k）无关集极值的树
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030195
D. S. Taletskii
{"title":"On Trees with a Given Diameter and the Extremal Number of Distance-(k) Independent Sets","authors":"D. S. Taletskii","doi":"10.1134/S1990478923030195","DOIUrl":"10.1134/S1990478923030195","url":null,"abstract":"<p> The set of vertices of a graph is called <i>distance-</i>\u0000<span>( k )</span><i> independent</i> if the distance between\u0000any two of its vertices is greater than some integer\u0000<span>( k geq 1 )</span>. In this paper, we describe\u0000<span>( n )</span>-vertex trees with a given diameter\u0000<span>( d )</span> that have the maximum and minimum possible number of distance-\u0000<span>( k )</span> independent sets among all such trees. The maximum problem is solvable for\u0000the case of\u0000<span>( 1 &lt; k &lt; d leq 5 )</span>. The minimum problem is much simpler and can be solved for all\u0000<span>( 1 &lt; k &lt; d &lt; n )</span>. \u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"664 - 677"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909058","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
Determining the Heat Flux Density in the Area of a Contact Line during the Evaporation of Liquid into a Bubble 液体蒸发成气泡过程中接触线区域热通量密度的测定
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S199047892303016X
N. E. Sibiryakov, D. Yu. Kochkin, O. A. Kabov, A. L. Karchevsky
{"title":"Determining the Heat Flux Density in the Area of a Contact Line during the Evaporation of Liquid into a Bubble","authors":"N. E. Sibiryakov,&nbsp;D. Yu. Kochkin,&nbsp;O. A. Kabov,&nbsp;A. L. Karchevsky","doi":"10.1134/S199047892303016X","DOIUrl":"10.1134/S199047892303016X","url":null,"abstract":"<p> The article describes a method for determining the heat flux density on the surface of a\u0000thin foil that is inaccessible for thermal imaging measurements based on thermal imaging data on\u0000the other side of the foil, available for measurements. Mathematically, the problem is reduced to\u0000solving the Cauchy problem for an elliptic equation, which is ill-posed. The problem is solved\u0000using noise smoothing in the initial temperature field and a correct restriction on the number of\u0000expansion terms in the Fourier series. According to the measurement results, the heat flux density\u0000reaches its maximum in the area of the contact line and amounts to\u0000<span>( 4200~text {W}/text {m}^2 )</span>.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"628 - 639"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909126","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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