Study of the boundary layer solution coupled with gridless method

In this paper, a boundary layer solution coupled with gridless method is investigated. On the base of the distributed clouds of points, a least-squares fitting and the AUSM ⁺-up scheme is used to obtain the numerical flux. An improved implicit algorithm is used to advanced the flow equations in time, at the same time local time stepping technique and residual averaging are employed, and coupled a boundary layer solution with gridless method. In order to demonstrate the accuracy and rudeness of the method, REA2822 aerofoil in transonic flow, NACA0012 aerofoil in transonic flow and M6 wing in transonic flow are computed. The result demonstrates that the gridless method in this paper can be used for the simulation of complex shape flow well.