Meshless Method For Node Processing, Parallel Acceleration And Compression Storage In Non-uniform Field

With the rapid development of computer technology,finite element and finite difference numerical simulation methods have been widely used in various practical problems.At the same time,another numerical method based on the presence of present nodes-meshless method is gradually developing.Because it does not need grid units,it can eliminate the difficulties caused by grid dependence,but the meshless method itself still has the difficulties of theoretical immaturity and practical application.In this paper,based on the local weakly meshless method,this paper studies the local integral domain and the local support domain of the local integral domain and the integral point of the field node when the problem domain is discrete with the non-uniform distribution field nodes,and uses the parallel computing technology based on the multi-core CPU and the public kernel GPU and the efficient memory storage strategy to improve the meshless method.Computational efficiency provides a basis for the application of meshless methods in large-scale computation.The main contents and achievements of this paper can be summarized as follows:(1)This paper analyzes the parallelism of the steps of the meshless method,and applies the efficient memory storage strategy to the key steps,such as the assembly stiffness matrix,the solution system and other key steps,and the high speed parallel computing technology of the multi-core CPU and the crowd kernel GPU.The accuracy after the optimization of the meshless method is verified,and the consumption of the time is tested by the large scale calculation.The numerical calculation efficiency of meshless method is significantly improved.(2)In the analysis of the actual problems in the meshless method,the problem domain is often represented by the nonuniform distribution of field nodes.In this paper,the local integral domain and the local support domain for determining the local integral domain and the integral point of the field nodes are studied for the non-uniform distribution of the field nodes in the problem domain,and the methods for determining the local domains are determined and determined.Two aspects of the analysis.In addition,a discriminant method for the location relationship between integral points and problem domain is proposed for the problem domain with complex geometry.(3)In this paper,a high performance meshless calculation program,which is suitable for non-uniform field nodes,is used to calculate the stability of rock and soil in the end of the open pit.The displacement and stress distribution of rock and soil around the mine under the action of gravity are preliminarily analyzed,and possible dangerous slip is judged.