Application of method of false transients to generate smooth grids around a body in motion

A time marching finite difference scheme incorporating an efficient method of false transients, an approximate factorisation technique and a time steps cycling process, is presented for solution of a system of Poisson's equations. The solution to the equations provides a smooth three dimensional boundary fitted grid around a body in motion. The scheme required much less computational effort than that required by other iterative schemes. In closure, examples of a static grid around an aircraft tailplane and a dynamic grid grid around an aircraft tailplane and a dynamic grid around an aircraft tailplane and a dynamic grid around a flapping wing are presented.