KFU. Card publication. Solution of stokes flow problem using biharmonic equation formulation and multiquadrics method

KAZAN
FEDERAL UNIVERSITY

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SOLUTION OF STOKES FLOW PROBLEM USING BIHARMONIC EQUATION FORMULATION AND MULTIQUADRICS METHOD

Form of presentation

Articles in international journals and collections

Year of publication

2016

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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, Zaripov S.K., Solution of stokes flow problem using biharmonic equation formulation and multiquadrics method//Lobachevskii Journal of Mathematics. - 2016. - Vol.37, Is.3. - P.268-273.

Annotation

The biharmonic equation formulation of the Stokes flow problem for multiquadrics method is developed. The main advantage of the approach is the iteration free method to find the solution. The numerical method is applied for the problem of steady incompressible fluid flow past a cylinder in the periodic cell of the Kuwabara model. The comparison with known analytical solution and the analysis of absolute and relative errors show that proposed approach gives satisfactory accuracy. The nonmonotonic dependence of the relative errors on the shape parameter typical for multiquadrics method is observed.

Keywords

Stokes flow, Kuwabara model, multiquadrics method

The name of the journal

Lobachevskii Journal of Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84971554146&partnerID=40&md5=3c706766bfb28b12d8cab442e1960f30

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

https://repository.kpfu.ru/eng/?p_id=135773&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	2016-01-01T00:00:00Z	ru_RU
dc.date.available	2016-01-01T00:00:00Z	ru_RU
dc.date.issued	2016	ru_RU
dc.identifier.citation	Mardanov R.F, Zaripov S.K., Solution of stokes flow problem using biharmonic equation formulation and multiquadrics method//Lobachevskii Journal of Mathematics. - 2016. - Vol.37, Is.3. - P.268-273.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=135773&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	The biharmonic equation formulation of the Stokes flow problem for multiquadrics method is developed. The main advantage of the approach is the iteration free method to find the solution. The numerical method is applied for the problem of steady incompressible fluid flow past a cylinder in the periodic cell of the Kuwabara model. The comparison with known analytical solution and the analysis of absolute and relative errors show that proposed approach gives satisfactory accuracy. The nonmonotonic dependence of the relative errors on the shape parameter typical for multiquadrics method is observed.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Stokes flow	ru_RU
dc.subject	Kuwabara model	ru_RU
dc.subject	multiquadrics method	ru_RU
dc.title	Solution of stokes flow problem using biharmonic equation formulation and multiquadrics method	ru_RU
dc.type	Articles in international journals and collections	ru_RU