The velocity-pressure formulation of the method of fundamental solutions was derived to solve the Stokes flow equations. The method is simple and very accurate. The success of this approach is shown in the case of 2D Poiseuill flow and the case of flow in 2D channel with Tjunction. Comparison of the calculation results with the presented formulation and analytical solution in the first example or reference numerical solution in the second example, shows the success of the method for solving Stokes flow problems when the pressure at the boundary of the computational domain is known.
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