A novel approach to model the flow of generalized Newtonian fluids with the finite pointset method

Abstract

Several numerical meshless methods have been proposed to try to solve some of the limitations of traditional mesh-based methods. Among those, the finite pointset method, which has been applied in several physical problems, shows a great potential. This work presents an extension of the available numerical approaches based on the finite pointset method to allow dealing with generalized Newtonian fluids, which possess a high viscosity. The developed finite pointset method solver is verified through the comparison of its predictions with analytical solutions, for simple flows, and with results provided by the well-established and validated open-source computational library OpenFOAM, for more complex cases studies. The excellent results obtained on the verification case studies prove the proper implementation of the new finite pointset method solver.