Pub Date : 2023-10-01DOI: 10.1515/ijnsns-2023-frontmatter6
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Pub Date : 2023-08-01DOI: 10.1515/ijnsns-2023-frontmatter5
{"title":"Frontmatter","authors":"","doi":"10.1515/ijnsns-2023-frontmatter5","DOIUrl":"https://doi.org/10.1515/ijnsns-2023-frontmatter5","url":null,"abstract":"","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136375750","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.1515/ijnsns-2023-frontmatter4
{"title":"Frontmatter","authors":"","doi":"10.1515/ijnsns-2023-frontmatter4","DOIUrl":"https://doi.org/10.1515/ijnsns-2023-frontmatter4","url":null,"abstract":"","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136281002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-01DOI: 10.1515/ijnsns-2023-frontmatter3
{"title":"Frontmatter","authors":"","doi":"10.1515/ijnsns-2023-frontmatter3","DOIUrl":"https://doi.org/10.1515/ijnsns-2023-frontmatter3","url":null,"abstract":"","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135381852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-01DOI: 10.1515/ijnsns-2023-frontmatter2
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Pub Date : 2023-03-28DOI: 10.1515/ijnsns-2022-0465
U. Uriostegui-Legorreta, E. Tututi
Abstract In this work a master-slave configuration to obtain synchronization between the double-well Duffing-van der Pol (master system) and the three-well Φ6 Duffing oscillators (slave system) is studied. For this configuration, we analyze the system when the dissipative and one that combines the elastic and dissipative couplings are used. Whenever the dissipative coupling is used, we observed a vertical shift synchronization in the slave system. However, when the combination of the elastic and dissipative couplings is used, the vertical shift disappears obtaining complete synchronization. We resort to perturbation method to corroborate analytically these kind of synchronization, when the master system provides an harmonic function to the slave system. These synchronizations are numerically corroborated.
本文研究了双阱Duffing-van - der - Pol(主系统)和三阱Φ6 Duffing振荡器(从系统)之间实现同步的主从配置。对于这种结构，我们分析了使用耗散耦合和结合弹性和耗散耦合的系统。当使用耗散耦合时，我们观察到从系统中的垂直位移同步。然而，当使用弹性耦合和耗散耦合的组合时，垂直位移消失，获得完全同步。当主系统对从系统提供一个调和函数时，我们采用摄动法对这种同步进行解析确证。这些同步得到了数值上的证实。
{"title":"Master-slave synchronization in the Duffing-van der Pol and Φ6 Duffing oscillators","authors":"U. Uriostegui-Legorreta, E. Tututi","doi":"10.1515/ijnsns-2022-0465","DOIUrl":"https://doi.org/10.1515/ijnsns-2022-0465","url":null,"abstract":"Abstract In this work a master-slave configuration to obtain synchronization between the double-well Duffing-van der Pol (master system) and the three-well Φ6 Duffing oscillators (slave system) is studied. For this configuration, we analyze the system when the dissipative and one that combines the elastic and dissipative couplings are used. Whenever the dissipative coupling is used, we observed a vertical shift synchronization in the slave system. However, when the combination of the elastic and dissipative couplings is used, the vertical shift disappears obtaining complete synchronization. We resort to perturbation method to corroborate analytically these kind of synchronization, when the master system provides an harmonic function to the slave system. These synchronizations are numerically corroborated.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48325641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-09DOI: 10.1515/ijnsns-2022-0510
A. Paliathanasis
Abstract The Lie symmetry analysis is applied for the study of a modified one-dimensional Saint–Venant system in which the density depends on the average temperature of the fluid. The geometry of the bottom we assume that is a plane, while the viscosity term is considered to be nonzero, as the gravitational force is included. The modified shallow water system is consisted by three hyperbolic first-order partial differential equations. The admitted Lie symmetries form a four-dimensional Lie algebra, the A 3,3 ⊕ A 1. However, for the viscosity free model, the admitted Lie symmetries are six and form the A 5,19 ⊕ A 1 Lie algebra. For each Lie algebra we determine the one-dimensional optimal system and we present all the possible independent reductions provided by the similarity transformations. New exact and analytic solutions are calculated for the modified Saint–Venant system.
{"title":"Similarity transformations for modified shallow water equations with density dependence on the average temperature","authors":"A. Paliathanasis","doi":"10.1515/ijnsns-2022-0510","DOIUrl":"https://doi.org/10.1515/ijnsns-2022-0510","url":null,"abstract":"Abstract The Lie symmetry analysis is applied for the study of a modified one-dimensional Saint–Venant system in which the density depends on the average temperature of the fluid. The geometry of the bottom we assume that is a plane, while the viscosity term is considered to be nonzero, as the gravitational force is included. The modified shallow water system is consisted by three hyperbolic first-order partial differential equations. The admitted Lie symmetries form a four-dimensional Lie algebra, the A 3,3 ⊕ A 1. However, for the viscosity free model, the admitted Lie symmetries are six and form the A 5,19 ⊕ A 1 Lie algebra. For each Lie algebra we determine the one-dimensional optimal system and we present all the possible independent reductions provided by the similarity transformations. New exact and analytic solutions are calculated for the modified Saint–Venant system.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41860552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-01DOI: 10.1515/ijnsns-2023-frontmatter1
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Pub Date : 2022-11-28DOI: 10.1515/ijnsns-2020-0045
A. Issakhov, Aidana Alimbek
Abstract In this work, numerical modeling and assessment of the dispersion of pollutants as a result of a chemical reaction from the activities of the Ekibastuz SDPP-1 was considered. The simulation was done on a valid thermal power plant. At the same time, to model the dispersion of pollutants NO, NO2 and CO were used, and the products NO2, HNO3 and CO2 from a chemical reaction with oxygen were also considered. The validation of the mathematical model, taking into account the chemical reaction, was carried out using several test problems and the obtained numerical results were compared with experimental data and numerical data of other authors. So in this work, estimates of the concentration level were given, both for pollutants and for products that were formed from a chemical reaction. As a result, the mass fractions of concentration and product were determined during a chemical reaction for various distances from chimneys. According to the data obtained, it can be noticed that, under the influence of diffusion, concentrations and products during a chemical reaction spread wider in width and due to this diffusion, the concentration level with an increase in the distance from the chimneys is lower. So, according to the data obtained, it is possible to assess the choice of the optimal distance of the thermal power plant from residential areas, at which the concentration of emissions and products from a chemical reaction will remain at a safe level.
{"title":"Modeling and assessment of the flow and air pollutants dispersion during chemical reactions from power plant activities","authors":"A. Issakhov, Aidana Alimbek","doi":"10.1515/ijnsns-2020-0045","DOIUrl":"https://doi.org/10.1515/ijnsns-2020-0045","url":null,"abstract":"Abstract In this work, numerical modeling and assessment of the dispersion of pollutants as a result of a chemical reaction from the activities of the Ekibastuz SDPP-1 was considered. The simulation was done on a valid thermal power plant. At the same time, to model the dispersion of pollutants NO, NO2 and CO were used, and the products NO2, HNO3 and CO2 from a chemical reaction with oxygen were also considered. The validation of the mathematical model, taking into account the chemical reaction, was carried out using several test problems and the obtained numerical results were compared with experimental data and numerical data of other authors. So in this work, estimates of the concentration level were given, both for pollutants and for products that were formed from a chemical reaction. As a result, the mass fractions of concentration and product were determined during a chemical reaction for various distances from chimneys. According to the data obtained, it can be noticed that, under the influence of diffusion, concentrations and products during a chemical reaction spread wider in width and due to this diffusion, the concentration level with an increase in the distance from the chimneys is lower. So, according to the data obtained, it is possible to assess the choice of the optimal distance of the thermal power plant from residential areas, at which the concentration of emissions and products from a chemical reaction will remain at a safe level.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43480818","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-28DOI: 10.1515/ijnsns-2021-0273
A. Issakhov, Aliya Borsikbayeva, A. Abylkassymova, A. Issakhov, A. Khikmetov
Abstract In the present work, a modified numerical model was developed to simulate the water flow during a dam break with the mud layer transfer of different heights, consisting of three phases (water, air, and a phase for deposition). To carry out a numerical simulation of this process, a mathematical model based on the VOF (volume of fluid) method was modified, taking into account the movement of the water-free surface, which is carried out by the movement of water flow based on the Newtonian fluid model, and the movement of mud impurities is based on the non-Newtonian fluid model. Validation of the constructed model for the influence of three-dimensional features of the flow on morphological changes is carried out by a modified mathematical model and compared with the results of calculation for two-dimensional (2D) and three-dimensional (3D) models. The proposed method for modeling is applied on a real complex terrain, which was based on the Kargalinka – a river in Almaty and the Almaty region of Kazakhstan, the right tributary of the Kaskelen River. Simulation analysis is carried out for cases with different deposit heights. All results of the numerical simulation can be visually viewed using graphs and illustrations.
{"title":"Numerical modeling of the dam-break flood over natural rivers on movable beds","authors":"A. Issakhov, Aliya Borsikbayeva, A. Abylkassymova, A. Issakhov, A. Khikmetov","doi":"10.1515/ijnsns-2021-0273","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0273","url":null,"abstract":"Abstract In the present work, a modified numerical model was developed to simulate the water flow during a dam break with the mud layer transfer of different heights, consisting of three phases (water, air, and a phase for deposition). To carry out a numerical simulation of this process, a mathematical model based on the VOF (volume of fluid) method was modified, taking into account the movement of the water-free surface, which is carried out by the movement of water flow based on the Newtonian fluid model, and the movement of mud impurities is based on the non-Newtonian fluid model. Validation of the constructed model for the influence of three-dimensional features of the flow on morphological changes is carried out by a modified mathematical model and compared with the results of calculation for two-dimensional (2D) and three-dimensional (3D) models. The proposed method for modeling is applied on a real complex terrain, which was based on the Kargalinka – a river in Almaty and the Almaty region of Kazakhstan, the right tributary of the Kaskelen River. Simulation analysis is carried out for cases with different deposit heights. All results of the numerical simulation can be visually viewed using graphs and illustrations.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46465076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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