相比传统的基于网格的数值方法，无网格法在处理流固耦合、变动的自由水面等问题中显示了优势，是计算水力学界的一个研究热点，但是在应用中也显示了一些局限性。《计算水力学中的无网格方法（英文版）》通过对这种计算技术全面系统的总结，希望促进其在计算水力学领域得到合理的应用。
《计算水力学中的无网格方法（英文版）》可供水利、土木、机械、力学等方向的科研与教学工作者学习参考。
Most of the conventional numerical techniques， such as the finite difference method， finite volume method， boundary element method and finite element method， are based on computational grids. Each grid point has a fixed number of predefined neighbours， and the connectivity between neighbounng points is used to define mathematical operators like derivation and integration. Often， Eulerian formulation is adopted， where the grid is fixed.Such an approach encounters computational complexities in modelling problems involving moving boundaries and large convections. These complexities can be avoided with the Lagrangian approach， where the computational grid moves with the material. However， the mesh can become tangled if the deformation of the material is large.
Rather than relying on the pre-defined grid connectivity， the meshfree methods rely on discrete particles to remove and thus completely avoid the mesh tanglement. Therefore， they are often referred to as particle methods in the literature. However， care must be taken that these particles are actually interpolation points for solving the partial differential equations.Only a small minority of meshfree techniques employ physical particles. Meshfree methods have been increasingly applied in computational hydraulics. In particular， the meshfree algorithms have demonstrated advantages in handling fluid/solid interactions and free water surfaces. However， they have also shown some limitations when being applied to other problems. As a relatively new numerical method， the meshfree technique is one of the hottest research topics in computational mechanics. In computational hydraulics， it has attracted more and more research interest. Over time， various types of meshfree algorithms have been developed， with different complexities and characteristics.
MLParticle-SJTU Solver and Its Applications in Free Surface Flows
Projection-based Particle Methods-A Brief Review of Latest Achievements
Numerical Simulation of Wave Interaction with Perforated Caissons using SPH
SPH Simulation of the Movement of Structures in Waves
Comparison of Different Iteration Schemes of ISPH for Violent Water Impact Simulation
Numerical Simulation of Fluid-Solid Interactions Using Finite Volume Method and Combined Finite-Discrete Element Method
Improved Laplacian Operator Approximation for Free-surface Flows by Incompressible SPH Method
Simulation of 2-D Dam-break Flow Based on SWE-SPH Modeling Approach
Coupled CFD-DEM Modeling of Submerged Granular Flows
Coupled DEM-CFD Simulation of Particle Sedimentation in Liquid
Simulation of Particle Motion in Free Surface Flows with a CFD-DEM Coupled Model
Analytical and DEM Studies on the Mechanical Behaviour of Granular Materials
Coupled 3D Lattice-Boltzmann Method with Discrete Element Method for Simulating Self-Compacting Concrete Flows in Rock-Filled Concrete
Simulation of Hydraulic Fracturing
Application of MPM to Study Dynanuc Interactions between Water and Soil
Index
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