Viscous Flow Around Rotating Ships

Abstract

This chapter discusses the numerical solution of viscous flow around slowly rotating arbitrary floating bodies in the presence of an incident flow. The solution of such a problem raises practical interest due to applications, for instance, as in the case of FPSO/FSO ships used in deep water oil production offshore. In the solution presented in the chapter, the complete incompressible Navier–Stokes equations are solved through a finite difference based solver using generalized coordinates defined on a moving grid. The constitutive equations are discretized in the space by second order central differences. Euler explicit method performs the time-marching, and the successive over relaxation method solves the Poisson equation at each iteration to calculate pressure distribution. The equation of motion is solved simultaneously with the Navier–Stokes equations to compute the velocity and position of the ship. The velocity and position of the ship hull are used to impose the no-slip condition on the body surface and to relocate the ship to generate new grid points at each time step. The Lax–Wendroff method and Euler explicit method are used to compute the new position and velocity of the ship respectively. Applications on 3D incompressible flow show the same positive performance opening concrete possibilities for practical simulations of interest where the amount of computing time is a serious burden.