Solution of stokes flow problem using biharmonic equation formulation and multiquadrics method
- Autores: Mardanov R.1, Zaripov S.1
-
Afiliações:
- Kazan Federal University
- Edição: Volume 37, Nº 3 (2016)
- Páginas: 268-273
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197682
- DOI: https://doi.org/10.1134/S1995080216030161
- ID: 197682
Citar
Resumo
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.
Palavras-chave
Sobre autores
R. Mardanov
Kazan Federal University
Autor responsável pela correspondência
Email: Renat.Mardanov@kpfu.ru
Rússia, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008
S. Zaripov
Kazan Federal University
Autor responsável pela correspondência
Email: Shamil.Zaripov@kpfu.ru
Rússia, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008
![](/img/style/loading.gif)