An efficient method for the Navier-Stokes/Euler coupled equations via a collocation approximation

The purpose of this paper is to propose an efficient iteration-by-subdomain method to solve the nonlinear incompressible Navier Stokes/Euler coupled e quations. The convergences are proven both in the differential case and in their spectral collocation counterpart. Detailed analysis shows that the it erative algorithms converge with a rate independent of the polynomial degre e. The numerical results presented are in good agreement with the theoretic al investigation. A validation study is carried out by simulating the ow pa st a cylinder.