A cell boundary-element method for viscous laminar flow solutions

A cell boundary-element method is developed to solve viscous fluid-structure interaction problems modelled by Navier-Stokes equations. This is achieved through a hybrid approach incorporating boundary-element and finite-element methods. In the proposed scheme, cell equations are generated using the principles of the boundary-element method with global equations derived following the procedures of the finite-element method. A primitive-variable formulation with an unstructured mesh requirement forms the basis of the hybrid approach which can be applied to both two- and three-dimensional problems. The validation of this numerical scheme of study involving analytical and numerical mathematical procedures is carried out using a number of well-documented flow solutions and the accuracy and robustness of the method are demonstrated in these examples.