| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2021 |
| Язык | английский |
|
Зарипов Шамиль Хузеевич, автор
Марданов Ренат Фаритович, автор
|
| Библиографическое описание на языке оригинала |
Mardanov R.F, Sharafutdinov V.F, Zaripov S.K., Modified formulation of the interfacial boundary condition for the coupled Stokes-Darcy problemTheor. Comput. Fluid Dyn. (2021) 35:449–476
https://doi.org/10.1007/s00162-021-00568-w |
| Аннотация |
Amodified formulation of the interfacial boundary condition for the coupling of the Stokes andDarcy
models describing the incompressible fluid flow in the free space and porous medium domains is proposed
using the dimension analysis procedure. The case is considered for the porous media formed by circular or
square cylinders located in the centers of rectangular cells. The vorticity is derived as a linear combination of
the tangential velocity components in the free space and porous medium. The proposed condition is potentially
directly applicable for a class of 2D problems with an arbitrary shaped boundary for the boundary element
method. The fluid flow problems are solved numerically using the Stokes flow model and analytically for the
Stokes–Darcy flow model to determine the coefficients in the introduced linear dependence for the vorticity.
As a result, the corresponding coefficients in the boundary condition are found as a porosity function for two
types of the porous medium configuration. The approximate analytical estimation of the coefficients confirms
the numerical dependencies. The verifications of the found coefficientsweremade by solving two 2Dfluid flow
problems. It is shown that the fluid flow calculated on the basis of the Stokes–Darcy flow model with modified
boundary condition agrees well with the results of the microscopic Stokes flow model. The advantages of the
proposed boundary condition are discussed. |
| Ключевые слова |
Stokes-Darcy problem ? Interfacial boundary condition ? Porous media. Boundary element
method |
| Название журнала |
Theoretical and Computational Fluid Dynamics
|
| URL |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85106485760&doi=10.1007%2fs00162-021-00568-w&partnerID=40&md5=4aa85f7e69f71956e99f2d200e4f4360 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=254342 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Зарипов Шамиль Хузеевич |
ru_RU |
| dc.contributor.author |
Марданов Ренат Фаритович |
ru_RU |
| dc.date.accessioned |
2021-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2021-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2021 |
ru_RU |
| dc.identifier.citation |
Mardanov R.F, Sharafutdinov V.F, Zaripov S.K., Modified formulation of the interfacial boundary condition for the coupled Stokes-Darcy problemTheor. Comput. Fluid Dyn. (2021) 35:449–476
https://doi.org/10.1007/s00162-021-00568-w |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=254342 |
ru_RU |
| dc.description.abstract |
Theoretical and Computational Fluid Dynamics |
ru_RU |
| dc.description.abstract |
Amodified formulation of the interfacial boundary condition for the coupling of the Stokes andDarcy
models describing the incompressible fluid flow in the free space and porous medium domains is proposed
using the dimension analysis procedure. The case is considered for the porous media formed by circular or
square cylinders located in the centers of rectangular cells. The vorticity is derived as a linear combination of
the tangential velocity components in the free space and porous medium. The proposed condition is potentially
directly applicable for a class of 2D problems with an arbitrary shaped boundary for the boundary element
method. The fluid flow problems are solved numerically using the Stokes flow model and analytically for the
Stokes–Darcy flow model to determine the coefficients in the introduced linear dependence for the vorticity.
As a result, the corresponding coefficients in the boundary condition are found as a porosity function for two
types of the porous medium configuration. The approximate analytical estimation of the coefficients confirms
the numerical dependencies. The verifications of the found coefficientsweremade by solving two 2Dfluid flow
problems. It is shown that the fluid flow calculated on the basis of the Stokes–Darcy flow model with modified
boundary condition agrees well with the results of the microscopic Stokes flow model. The advantages of the
proposed boundary condition are discussed. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
|
ru_RU |
| dc.title |
Modified formulation of the interfacial boundary condition for the coupled Stokes-Darcy problem |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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