NURBS curves in direct definition of the shapes of the boundary for 2D Stokes flow problems in modified classical BIE

This paper proposes a modeling of the boundary at the interface between the body and the fluid for 2D flow problems described by the Stokes equation with NURBS curves. The theoretical representation of the boundary with the help of these curves is directly included into the classical boundary integral equations (BIE) for the Stokes equation. After this analytical inclusion of NURBS curves into a mathematical formula of the classical BIE, new generalized parametric integral systems (PIES) are obtained.