Viscous splitting for the unbounded problem of the Navier-Stokes equations

Abstract

Abstract.The viscous splitting for the exterior initial-boundary value problems of the Navier-Stokes equations is considered. It is proved that the approximate solutions are uniformly bounded in the space L°°(0, T; Hs+ (£2)), s < j , and converge with a rate of 0(k) in the space L°°(0, T; H (ß)), where k is the length of the time steps.

Simulation of the Flow Over Elliptic Airfoils Oscillating at Large Angles of Attack

“…Convergence proofs for the application of the operator-splitting method to the Navier}Stokes equations for unbounded #ows are given by Beale & Majda (1981) and Ying (1990). The vorticity "eld is discretized into a number of point vortices, and the time domain is also discretized into small time steps.…”