KFU. Card publication. Modified formulation of the interfacial boundary condition for the coupled Stokes-Darcy problem

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MODIFIED FORMULATION OF THE INTERFACIAL BOUNDARY CONDITION FOR THE COUPLED STOKES-DARCY PROBLEM

Form of presentation

Articles in international journals and collections

Year of publication

2021

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Authors, employees of KFU

Zaripov Shamil Khuzeevich, author

Mardanov Renat Faritovich, author

Bibliographic description in the original language

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

Annotation

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.

Keywords

Stokes-Darcy problem ? Interfacial boundary condition ? Porous media. Boundary element method

The name of the journal

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

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=254342&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Zaripov Shamil Khuzeevich	ru_RU
dc.contributor.author	Mardanov Renat Faritovich	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/eng/?p_id=254342&p_lang=2	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	Articles in international journals and collections	ru_RU