Pub Date : 2023-12-01DOI: 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.
{"title":"A Regular Difference Grid and Characteristics Method","authors":"","doi":"10.1134/s2070048223070116","DOIUrl":"https://doi.org/10.1134/s2070048223070116","url":null,"abstract":"<span> <h3>Abstract</h3> <p>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.</p> </span>","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139055763","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}
Pub Date : 2023-12-01DOI: 10.1134/s2070048223070074
M. A. Kirushina, T. G. Elizarova, A. S. Epikhin
{"title":"Numerical Modeling of a Melt Flow by the Czochralski Method in the OpenFOAM Package Using a Quasi-Hydrodynamic Algorithm","authors":"M. A. Kirushina, T. G. Elizarova, A. S. Epikhin","doi":"10.1134/s2070048223070074","DOIUrl":"https://doi.org/10.1134/s2070048223070074","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"22 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139193013","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}
Pub Date : 2023-12-01DOI: 10.1134/s2070048223070037
V. A. Galkin, A. Dubovik
{"title":"On One Class of Exact Solutions of the Navier–Stokes System of Equations for an Incompressible Fluid","authors":"V. A. Galkin, A. Dubovik","doi":"10.1134/s2070048223070037","DOIUrl":"https://doi.org/10.1134/s2070048223070037","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"49 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139191278","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}
Pub Date : 2023-12-01DOI: 10.1134/s2070048223070025
K. M. Abuzyarov, M. Abuziarov, A. V. Kochetkov, S. V. Krylov, A. A. Lisitsyn, I. A. Modin
{"title":"Application of the Godunov Scheme to Solve Three-Dimensional Problems of High-Speed Interactions of Elastoplastic Bodies","authors":"K. M. Abuzyarov, M. Abuziarov, A. V. Kochetkov, S. V. Krylov, A. A. Lisitsyn, I. A. Modin","doi":"10.1134/s2070048223070025","DOIUrl":"https://doi.org/10.1134/s2070048223070025","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"99 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139189464","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}
Pub Date : 2023-12-01DOI: 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.
{"title":"Model of Protective Film Formation in the Vicinity of a Slit Channel During the Convective-Film Cooling of a Plate","authors":"","doi":"10.1134/s2070048223070153","DOIUrl":"https://doi.org/10.1134/s2070048223070153","url":null,"abstract":"<span> <h3>Abstract</h3> <p>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.</p> </span>","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139055463","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}
Pub Date : 2023-12-01DOI: 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.
{"title":"Modeling Sociopsychological Processes of the Formation of the Population’s Position on Vaccine Prevention in the Context of Information Propaganda","authors":"","doi":"10.1134/s2070048223070098","DOIUrl":"https://doi.org/10.1134/s2070048223070098","url":null,"abstract":"<span> <h3>Abstract</h3> <p>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.</p> </span>","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139055469","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}
Pub Date : 2023-11-04DOI: 10.1134/s2070048223060029
M. V. Abakumov
{"title":"Numerical Study of the Effect of Artificial Obstacles on the Occurrence of Hurricane-Force Wind Gusts during the Bora","authors":"M. V. Abakumov","doi":"10.1134/s2070048223060029","DOIUrl":"https://doi.org/10.1134/s2070048223060029","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135773313","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}
Pub Date : 2023-11-04DOI: 10.1134/s2070048223060054
V. A. Andrushchenko, N. G. Syzranova
{"title":"The Effect of Ballistic Parameters of Meteoroids on Their Destruction in the Earth’s Atmosphere","authors":"V. A. Andrushchenko, N. G. Syzranova","doi":"10.1134/s2070048223060054","DOIUrl":"https://doi.org/10.1134/s2070048223060054","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"6 3‐4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135773319","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}
Pub Date : 2023-11-04DOI: 10.1134/s2070048223060108
V. M. Goloviznin, Petr A. Mayorov, Pavel A. Mayorov, A. V. Solovjev, N. A. Afanasiev
{"title":"Explicit Numerical Algorithm for the Nonhydrostatic Fluid Dynamics Equations Based on the CABARET Scheme","authors":"V. M. Goloviznin, Petr A. Mayorov, Pavel A. Mayorov, A. V. Solovjev, N. A. Afanasiev","doi":"10.1134/s2070048223060108","DOIUrl":"https://doi.org/10.1134/s2070048223060108","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135773324","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}
Pub Date : 2023-11-04DOI: 10.1134/s207004822306011x
V. A. Gordin
{"title":"When an Implicit Scheme is Monotonic","authors":"V. A. Gordin","doi":"10.1134/s207004822306011x","DOIUrl":"https://doi.org/10.1134/s207004822306011x","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"12 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135773301","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}