文档介绍：??????????????I 摘要??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????Euler???????????????????????????????????????????????????????????????????????????????????????????Euler????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????II ????????????????????????????????????????????????????????Runge-Kutta??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????III ABSTRACT Meshfree algorithm flexibly distributes the points in the domain; therefore it is suitable for solving flows over arbitrary configurations. However, its efficiency is still petent pared with mesh based methods. In order to make full use of the advantages of meshfree and mesh methods to efficiently solve direct and inverse problems, adaptive meshfree and hybridized mesh/meshfree algorithms are proposed and studied in the present work. Firstly, the concept of cloud of points, which is the basic control unit of meshfree method, is explained in detail. For spatial derivative approximation in a cloud of points is the core of meshfree method, least square and moving least square