A New Steklov-Poincaré Numerical Technique for Solving Prandtl-Batchelor Flows

The Prandtl-Batchelor flow model is a well-known asymptotic solution of the Navier-Stokes equations often used as a paradigm model of wake past bluff bodies. The main concern is the derivation of vortex equilibria and stability in symmetric and asymmetric configurations. The numerical solution of such class of problems requires an high resolution of the flow in the wake regions and a wide grid to accurately match asymptotic conditions at infinity. In this work a numerical technique based on the Steklov-Poincaré iterative scheme is proposed in order to match the asymptotic conditions and a high resolution on the wake. The case of body endowed with sharp edges is also considered.