Abstract: In numerical simulation using meshless method,it usually concerns with searching nodes that are needed.In dealing with complex problems,there must be a great number of nodes distributed in computational domain.If traditional Node-Searching method is used here, it will be a burdensome task for the computer.So this paper proposes a new numerical arithmetic,Domain-Dividing method which means that the domain can be divided into several subdomains.Therefore,one can search some corresponding subdomains but not the entire domain for the neccessory nodes. It adopts the Node-Searching arithmetic to simulate the ideal flow over a cylinder,and shows that with the increase of the nodes in domain,the computational time of meshless method gets longer than that of finite element method,however compared with meshless method using conventional Node-Searching method,the arithmetic proposed here can spare much more time for searching nodes.

Key words: meshless, node-searching, quadrature point, searching time, numerical simulation