Pub Date : 2023-12-01DOI: 10.20537/2076-7633-2023-15-6-1449-1467
O. Nefedova, Lev Phridrihovich Spevak, Alexandr Leonidovich Kazakov, Ming Gong Lee
{"title":"Solution to a two-dimensional nonlinear heat equation using null field method","authors":"O. Nefedova, Lev Phridrihovich Spevak, Alexandr Leonidovich Kazakov, Ming Gong Lee","doi":"10.20537/2076-7633-2023-15-6-1449-1467","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-6-1449-1467","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"34 5-7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139192223","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: 10.20537/2076-7633-2023-15-6-1469-1476
G. Grenkin
{"title":"On the uniqueness of identification of reaction rate parameters in a combustion model","authors":"G. Grenkin","doi":"10.20537/2076-7633-2023-15-6-1469-1476","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-6-1469-1476","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"4 15","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139194043","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: 10.20537/2076-7633-2023-15-6-1429-1448
E. Aristova, N. I. Karavaeva
{"title":"Bicompact schemes for the HOLO algorithm for joint solution of the transport equation and the energy equation","authors":"E. Aristova, N. I. Karavaeva","doi":"10.20537/2076-7633-2023-15-6-1429-1448","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-6-1429-1448","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139195769","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: 10.20537/2076-7633-2023-15-6-1601-1615
Ahmad . Almasri, V. Tsybulin
{"title":"A dynamic analysis of a prey - predator - superpredator system: a family of equilibria and its destruction","authors":"Ahmad . Almasri, V. Tsybulin","doi":"10.20537/2076-7633-2023-15-6-1601-1615","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-6-1601-1615","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"34 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139193778","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: 10.20537/2076-7633-2023-15-6-1617-1634
E. Giricheva
{"title":"Pattern formation of a three-species predator - prey model with prey-taxis and omnivorous predator","authors":"E. Giricheva","doi":"10.20537/2076-7633-2023-15-6-1617-1634","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-6-1617-1634","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"17 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139194415","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: 10.20537/2076-7633-2023-15-6-1495-1506
E. N. Shirokova, D. V. Sadin
{"title":"Wave and relaxation effects during the outflow of a gas suspension partially filling a cylindrical channel","authors":"E. N. Shirokova, D. V. Sadin","doi":"10.20537/2076-7633-2023-15-6-1495-1506","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-6-1495-1506","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"19 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139191774","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: 10.20537/2076-7633-2023-15-6-1477-1493
Vasily Nikolaevich Govorukhin
{"title":"Algorithm for vortices identification based on flow velocity vectors using the simplest mathematical model of vortex dynamics","authors":"Vasily Nikolaevich Govorukhin","doi":"10.20537/2076-7633-2023-15-6-1477-1493","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-6-1477-1493","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"31 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139195863","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 : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1207-1236
Igor’ Georgievich Minkevich
An isolated system, which possesses a discrete set of microscopic states, is considered. The system performs spontaneous random transitions between the microstates. Kinetic equations for the probabilities of the system staying in various microstates are formulated. A general dimensionless expression for entropy of such a system, which depends on the probability distribution, is considered. Two problems are stated: 1) to study the effect of possible unequal probabilities of different microstates, in particular, when the system is in its internal equilibrium, on the system entropy value, and 2) to study the kinetics of microstate probability distribution and entropy evolution of the system in nonequilibrium states. The kinetics for the rates of transitions between the microstates is assumed to be first-order. Two variants of the effects of possible nonequiprobability of the microstates are considered: i) the microstates form two subgroups the probabilities of which are similar within each subgroup but differ between the subgroups, and ii) the microstate probabilities vary arbitrarily around the point at which they are all equal. It is found that, under a fixed total number of microstates, the deviations of entropy from the value corresponding to the equiprobable microstate distribution are extremely small. The latter is a rigorous substantiation of the known hypothesis about the equiprobability of microstates under the thermodynamic equilibrium. On the other hand, based on several characteristic examples, it is shown that the structure of random transitions between the microstates exerts a considerable effect on the rate and mode of the establishment of the system internal equilibrium, on entropy time dependence and expression of the entropy production rate. Under definite schemes of these transitions, there are possibilities of fast and slow components in the transients and of the existence of transients in the form of damped oscillations. The condition of universality and stability of equilibrium microstate distribution is that for any pair of microstates, a sequence of transitions should exist, which provides the passage from one microstate to next, and, consequently, any microstate traps should be absent.
{"title":"On the kinetics of entropy of a system with discrete microscopic states","authors":"Igor’ Georgievich Minkevich","doi":"10.20537/2076-7633-2023-15-5-1207-1236","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1207-1236","url":null,"abstract":"An isolated system, which possesses a discrete set of microscopic states, is considered. The system performs spontaneous random transitions between the microstates. Kinetic equations for the probabilities of the system staying in various microstates are formulated. A general dimensionless expression for entropy of such a system, which depends on the probability distribution, is considered. Two problems are stated: 1) to study the effect of possible unequal probabilities of different microstates, in particular, when the system is in its internal equilibrium, on the system entropy value, and 2) to study the kinetics of microstate probability distribution and entropy evolution of the system in nonequilibrium states. The kinetics for the rates of transitions between the microstates is assumed to be first-order. Two variants of the effects of possible nonequiprobability of the microstates are considered: i) the microstates form two subgroups the probabilities of which are similar within each subgroup but differ between the subgroups, and ii) the microstate probabilities vary arbitrarily around the point at which they are all equal. It is found that, under a fixed total number of microstates, the deviations of entropy from the value corresponding to the equiprobable microstate distribution are extremely small. The latter is a rigorous substantiation of the known hypothesis about the equiprobability of microstates under the thermodynamic equilibrium. On the other hand, based on several characteristic examples, it is shown that the structure of random transitions between the microstates exerts a considerable effect on the rate and mode of the establishment of the system internal equilibrium, on entropy time dependence and expression of the entropy production rate. Under definite schemes of these transitions, there are possibilities of fast and slow components in the transients and of the existence of transients in the form of damped oscillations. The condition of universality and stability of equilibrium microstate distribution is that for any pair of microstates, a sequence of transitions should exist, which provides the passage from one microstate to next, and, consequently, any microstate traps should be absent.","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136199187","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 : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1189-1205
V. A. Grachev, Yu. S. Nayshtut
{"title":"Buckling prediction for shallow convex shells based on the analysis of nonlinear oscillations","authors":"V. A. Grachev, Yu. S. Nayshtut","doi":"10.20537/2076-7633-2023-15-5-1189-1205","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1189-1205","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"136 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136200131","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}
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