Numerical analysis of the external slow flows of a viscous fluid using the R-function method

作者：Lamtyugova S N^*; Sidorov M V

来源：Journal of Engineering Mathematics, 2015, 91(1): 59-79.

DOI：10.1007/s10665-014-9746-x

• Stokes flow
• The Galerkin method
• The R-functions method
• Viscous incompressible fluid

In this paper the problem of calculating the external slow flow of viscous incompressible fluid past bodies of revolution is considered. A numerical method, based on the joint use of the R-function structural method of V. L. Rvachev for building the structure of the boundary-value problem solution and the Galerkin projection method for approximating the indeterminate components of the structure, is proposed for solving the problem. The problem of slow viscous incompressible fluid flow past an ellipsoid of revolution is numerically solved using the proposed approach to test the developed method. The solution obtained is compared with the known exact solution of the problem in question. In addition, the problems of flow past two touching spheres and past two joined ellipsoids are solved.

• 出版日期2015-4