Solution for the problem of the Stokes flow past a body of arbitrary shape using conformal mapping

11th International Conference on "Mesh methods for boundary-value problems and applications"

Salakhov, R.R.^1 ; Abzalilov, D.F.^1 ; Zaripov, S.K.^1

Kazan Federal University, 18 Kremlevskaia Street, Kazan

420008, Russia^1

关键词: Arbitrary shape;    Curved shapes;    Flow around a circular cylinder;    Incompressible viscous fluids;    Stokes approximation;    Stokes flows;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012080/pdf
DOI  :  10.1088/1757-899X/158/1/012080

来源: IOP

【 摘 要 】

An approach to the calculation of flow of an incompressible viscous fluid in the Stokes approximation is developed based on the finite difference method with the use of conformal mapping. The problems of flow around a circular cylinder and ellipse in a periodic circular cell have been solved. The method is particularly well suited for solving problems of flow around bodies of an arbitrary curved shape.