The Solution Of The Two-dimensional Stokes Equations
Free (open access)
D. B. Ingham
In this paper we describe four boundary element methods for solving the two-dimensional Stokes equations. The first two methods are the classical biharmonic and U, U, p formulations. In the third method, the solution of the governing biharmonic equation is reduced to the solution of two Laplace equations which are linked through the boundary conditions. Finally, in the fourth method the Stokes equations are reduced to three Laplace equations which are again linked through the boundary conditions. The advantages and disadvantages of all of the methods are discussed. It is concluded that the fourth method is accurate, by far the most versatile and it is very easy to implement.