Assignment (OBLIG) 1. Due by 15 September

For specified (see below) two-dimensional geometries, assuming potential theory in unbounded fluid, and use of Green's second identity, calculate the velocity potential along the body and the added mass forces, for a circle, an ellipse, a square and a rectangle, moving laterally, and with rotation. Find also the cross coupling added mass coefficients. For the circle, the reference solution is: phi=-a*a*x/(r*r) where a denotes the cylinder radius, r*r=x*x+y*y.