Abstract：A quadtree-based adaptive Cartesian grid generation and flow solver of Navier-Stokes equations and Euler solutions with moving boundary were developed .The grid adaptation based on pressure or density gradient was performed and a gridless or meshless method based on the least-square fashion was used to treat the wall surface boundary condition, which is generally difficult to be handled for the common Cartesian grid. First, to validate the technique of grid adaptation, the flows over a cube were computed. Second, the flows over the cylinder were calculated to validate the developed gridless method.Third,Euler solutions of Naca0012 wing under three cases were computed by moving grid with gridless method. The computational results indicated the developed method is reasonable for complex flows.So this method provides a new idea to the simulation of flows over the objects with complex geometry figures and this method has the special characters of the more reasonable distribution of grids , the higher efficiency and the easier of boundary treatment.
李现今; 杨国伟. Cartesian网格结合无网格法处理的二维柱体 [J]. , 2013, 32(8): 134-142.
Li xianjin Yang guowei. Simulation to 2D flows over cube or cylinder and moving body problems based on adaptive Cartesian grid with a gridless boundary treatment. , 2013, 32(8): 134-142.
2013, Vol. 32 
