A cell boundary-element method for viscous laminar flow solutions

A cell boundary-element method is developed to solve viscous fluid-structur e interaction problems modelled by Navier-Stokes equations. This is achieve d through a hybrid approach incorporating boundary-element and finite-eleme nt methods. In the proposed scheme, cell equations are generated using the principles of the boundary-element method with global equations derived fol lowing the procedures of the finite-element method. A primitive-variable fo rmulation with an unstructured mesh requirement forms the basis of the hybr id approach which can be applied to both two- and three-dimensional problem s. The validation of this numerical scheme of study involving analytical and n umerical mathematical procedures is carried out using a number of well-docu mented flow solutions and the accuracy and robustness of the method are dem onstrated in these examples.