Meshless Method Under The Three-dimensional Complex Geometries

The gridless methods for three-dimensional steady inviscid flow simulation have been researched in this thesis. A quadrantal point infilling strategy is developed to generate point and combine clouds of points automatically. The implicit time-stepping scheme and AUSM+up method have been introduced and extended into gridless method. The comparison between grid method and the implicit gridless method with upwind scheme shows that the latter has the following advantages: fast speed of convergence, small numerical dissipation, superior ability to catch shock, advantageous geometrical flexibility and a wide applied range of Mach number. For the sake of demonstrating the accuracy and rudeness of the method, a certain aerotransport in transonic flow ,M6 wing in transonic flow, DLR-F4 configuration in transonic flow and a cone in hypersonic flow are computed. The results prove an immense potential of this methods on the numerical simulation of 3-D complex configurations flow.In this thesis, in order to calculate the viscid effect, Euler equations+boundary layer correction method and N-S equations+S-A turbulent model method are introduced. The simulating results of REA2822 airfoil in transonic flow and NACA0012 airfoil in transonic flow can demonstrate the validity of this method.