A fully explicit method for incompressible flow computation Original Research Article

A new formulation of the Navier–Stokes equations is introduced to solve incompressible flow problems. It keeps the benefits of the penalty method, that is, velocity and pressure can be obtained separately and no pressure-Poisson equation is involved. Unlike the penalty method the formulation is more stable or less stiff and then explicit time integration can be applied for easy implementation. No linear or nonlinear system need be solved in the method. In the case that a large number of time steps are needed a parallelization based on domain decomposition is applied to reduce the computational time. With the explicit time integration the parallel implementation and its message passing are very simple as well.