Abstract
A new method for computing flow fields with arbitrarily moving boundaries is proposed. Under the concept of Lie derivatives the field equations in general moving coordinates are derived, which consist of several kinds of equations, for example, one written in Viviand's conservative form. According to our formulation, it is natural and reasonable to consider that the computational coordinates fitted to the body move in space, contrary to the usual computational procedures. The two-dimensional incompressible Navier-Stokes equations in gemeral moving coordinates are solved by a finite difference method. The present calculations are made for (a) the blood flow in human ventricle, and (b) the dynamic stall process on oscillating airfoil. Consequently it is shown that the flows generated by moving bodies can easily be analyzed by the present method.
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