THE MESHLESS METHOD FOR UNSTEADY FLOW WITH MOVING BOUNDARY

The meshless method is used to solve problems with moving boundaries,A method is proposed for dealing with unsteady flow with movable and torsionalboundaries in small scale. The moving principle for discretepoints in meshless method is formulated, the spring analogy is modified toconsider the movements of points, the adaptability and precision of the analogyare enhanced. ALE equations are solved based on meshlessmethod. Based on clouds, the spatial derivatives areapproximated by using local least-squares curve fitting and the numerical fluxis calculated with HLLC scheme, a multistage Runge-Kutta algorithm is usedto advance the equation in time. The oscillating flow of representativeairfoils in transonic and supersonic conditions is simulated. Thecomputational results agree well with the experiment data, which indicatesthat the method is valid.