A study of time integration methods for 3D FEM solution of incompressible fluids governed by the Navier-Stokes equations

Resumo

This work investigates the influence of using different time integration methods for the mixed finite

element formulation of tridimensional unsteady incompressible fluid flow problems governed by the Navier-
Stokes equations. A classical Eulerian approach is followed to describe the fluid. A Newton-Raphson scheme is

devised to solve the resulting non-linear equations within every time step of the time integration. In order to
ascertain the accuracy and efficiency of the adopted methods, numerical simulations of tridimensional unsteady
flow of an incompressible fluid around a cylinder are analyzed and compared against benchmark solutions.