Svetlana O. Kraeva, Nikita Mushchak, E. Starobinskii
{"title":"Numerical simulation of proppant transport using stochastic model","authors":"Svetlana O. Kraeva, Nikita Mushchak, E. Starobinskii","doi":"10.1063/5.0060195","DOIUrl":"https://doi.org/10.1063/5.0060195","url":null,"abstract":"In this paper, an effect of the multistage injection of several proppants on the development of a hydraulic fracture is considered. To solve the problem, the multiphase particle-cell method (MP-PIC) was used without taking into account the interaction between the particles. The numerical algorithm was built-in as a module into the Planar3D ELSA fracture simulator for a multilayer medium.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132895534","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}
{"title":"Statistical method for determining the flat segments of boundaries for crystallites","authors":"N. Kondratev, E. Makarevich, A. Podsedertsev","doi":"10.1063/5.0059506","DOIUrl":"https://doi.org/10.1063/5.0059506","url":null,"abstract":"A method for specifying flat sections of crystallite boundaries (grains or sub-grains), taking into consideration their topology, is proposed. The shape of crystallites in the form of ellipsoids is assumed to be known based on the approximation of averaged experimental data. A statistical problem on the determination of flat sections of grain boundaries, the area, orientation and position in space of which are found taking into account the shape of the prescribed ellipsoid, is formulated. To solve this problem, an attempt to ensure the fulfillment of two conditions is made. The first one is flat sections of the boundary along the surface of the ellipsoid should have an approximately uniform distribution. The second one is that in places of the greatest curvature of the ellipsoid surface there is an increased density of facets with the smallest area. The noted conditions provide the necessary approximation of the ellipsoid by flat sections for the implementation of the developed statistical multilevel models, taking into consideration the structure of the material.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121650335","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}
V. Astafev, Sergey A. Bulgakov, Vasilina E. Podyacheva
{"title":"Modeling of the fluid filtration to a well, equipped with the vertical slot filters","authors":"V. Astafev, Sergey A. Bulgakov, Vasilina E. Podyacheva","doi":"10.1063/5.0060498","DOIUrl":"https://doi.org/10.1063/5.0060498","url":null,"abstract":"To ensure the necessary flow rates of wells equipped with an anti-sand filter, it is necessary to evaluate the throughput of the filter. In this paper we are considering one of its most common designs – a vertical-slotted filter. For the case of a single slot periodically repeating over the pipe, an expression for the determination of the skin factor was obtained by V.P. Pilatovsky. In order to identify the best filtering scheme for the arrangement of the slots in the vertical-slit filter, in this work a universal dependence for determining the value of the additional filtering resistance that appears in the bottomhole zone of the well has been considered.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115192555","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}
{"title":"Numerical implementation issues of the deformation and destruction process of bodies with stress concentrators","authors":"Evgenia V. Feklistov, M. Tretyakov, V. Wildemann","doi":"10.1063/5.0059553","DOIUrl":"https://doi.org/10.1063/5.0059553","url":null,"abstract":"In this paper on the basis of a mathematical model a study of the parameters of numerical modeling is carried out for the results of solving boundary value problems on the destruction of bodies with concentrators and crack-like defects. The following parameters are considered: loading step; taking into account the iterative procedure of the destruction process; the degree of discretization of the computational domain; accounting for elements close to a critical state.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116800318","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}
{"title":"Free thermal stationary convection of incompressible fluid in a closed loop","authors":"M. Koskov","doi":"10.1063/5.0059562","DOIUrl":"https://doi.org/10.1063/5.0059562","url":null,"abstract":"The natural thermal stationary convection of a one-component fluid in a closed long loop is investigated theoretically. A solution of the two-dimensional boundary value problem is proposed. The gravitational convection equations have analytically reduced to non-linear equations, which contains a set of parameters included in the temperature and velocity fields functions. Calculation of the parameters values has carried out used a computer algebra package. Rayleigh and Nusselt numbers interrelation has computed in the case of long contour. Comparison of the presented simulation with a one-dimensional model has also been made.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129711085","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}
{"title":"Enhanced kinematics in oriented and Cosserat solids with structural inhomogeneity","authors":"S. Lychev, K. Koifman, A. Petrenko","doi":"10.1063/5.0059879","DOIUrl":"https://doi.org/10.1063/5.0059879","url":null,"abstract":"In present paper the generalized kinematics for oriented media is discussed. The approach suggested is based on the geometrical formalism, developed in the theory of connection on principle bundles. This makes it possible to take into account a range of orientations, associated with an elementary volume of underlying body, while classical Cosserat type theories involve the only one. The need for such a generalization arises, for example, in the modeling of composites, reinforced with nanosized fibers. In such a case the transformation of elementary volume to the state, free from stresses, generally is not possible. The reason for that is the fact that with any deformation one can release local stresses, associated only with a part of fibers, oriented in some specific directions. To relax fibers, oriented otherwise, one has to apply another deformation. Thus, for complete description of all relaxation transformation in some elementary volume, the continuous family of generalized deformations is required. The notion of fiber, used in differential geometry of fiber bundles, provides an excellent tool for such formalization. In present paper a way for implementation discussed ideas is shown. It is also shown that classical Cosserat approach can be obtained within generalized one as some section of a bundle.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"211 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115937199","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}
{"title":"Field-induced response of non-spherical magnetopolymersomes: Coarse-grained molecular dynamics model","authors":"A. Ryzhkov, Y. Raikher","doi":"10.1063/5.0059529","DOIUrl":"https://doi.org/10.1063/5.0059529","url":null,"abstract":"An improved coarse-grained molecular dynamics model of magnetosensitive polymersome is presented. The modification allows facile constructing of the polymersome templates to be used in the simulations aimed at detailed description of the field-induced magnetodeformational behavior of these soft matter objects. The model is applied to study the magnetomechanical and structural responses of a spheroidal polymersome in magnetic field directed along and across the major axes of the spheroid. The results obtained reveal, in particular, a notable swelling effect caused by a uniform magnetic field.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127286955","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}
A. Anoshkin, A. Pankov, E. Barkanov, P. Pisarev, S. Bayandin
{"title":"Numerical prediction of a MFC actuator piezoelectroelastic properties for solving active control problems","authors":"A. Anoshkin, A. Pankov, E. Barkanov, P. Pisarev, S. Bayandin","doi":"10.1063/5.0059856","DOIUrl":"https://doi.org/10.1063/5.0059856","url":null,"abstract":"As part of the research, a mathematical model was developed and the formulation of coupled boundary-value problems of electroelastic deformation of an inhomogeneous anisotropic body was stated. Using the method of averaging over the volume, the effective piezoelectroelastic constants of Macro Fiber Composite with piezoelectric fibers were calculated. The verification of the developed mathematical models was carried out.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125929378","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}
P. MatveenkoValeriy, V. TrusovPeter, YantsAnton Yu., A. FaermanVladimir
{"title":"Preface: 29th Russian Conference on Mathematical Modeling in Natural Sciences (Rumonas)","authors":"P. MatveenkoValeriy, V. TrusovPeter, YantsAnton Yu., A. FaermanVladimir","doi":"10.1063/12.0005450","DOIUrl":"https://doi.org/10.1063/12.0005450","url":null,"abstract":"","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"119 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114433583","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}
{"title":"Statistical crystal plasticity model of commercially pure titanium: Validation and estimation of sensitivity to impacts perturbations","authors":"K. Romanov, A. Shveykin","doi":"10.1063/5.0059573","DOIUrl":"https://doi.org/10.1063/5.0059573","url":null,"abstract":"A two-level statistical constitutive model of commercially pure titanium with hcp is considered. A series of computational experiments for uniaxial loadings with different set of mechanisms taken into account was carried out. The model identification and verification (validation) were implemented on the basis of these experiments. An algorithm for assessing of sensitivity of the macrolevel response to randomly selected perturbations of kinematic impacts during the deformation process was developed and implemented. The results of numerical simulations showed that the model is stable to these perturbations.","PeriodicalId":177478,"journal":{"name":"29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131036012","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}