中文摘要：

基于Lagrange观点的无网格方法计算是建立在一群可移动的自适应性的质点基础之上，对特大变形区域和自由表面的捕捉有着较高的精度。光滑质点流体动力学（SPH）是无网格方法的一种，本文阐述其理论基础和计算方法，主要包括：SPH的基本概念、核近似和粒子近似的基本原理、核函数的构造方法、SPH形式的流体运动方程、边界处理方法和数值算例等多方面内容。研究工作在了解SPH方法的理论特点和潜在优势的同时，也为相关问题的深入研究和改进奠定了理论和算法基础。

英文摘要：

Meshfree method which uses Lagrange viewpoint is based on a group of moving and adaptive particles,and this method has very high accuracy for capturing the large deformable domain and free surface. Smoothed Particle Hydrodynamics （SPH） is one kind of meshfree method, and its basic theory and calculation approach will be introduced, including basic concept of SPH, basic theory of kernel approximation and particle approximation,generation of kernel function,SPH formulation for general dynamic fluid flow, boundary handling method and numerical behaviors. The purpose of the research is focused on finding the theory characteristic and potential advantage of SPH, and it is the basic theory and algorithm for further research and improvement of corresponding problems.