Meshfree & particle based approaches in computational mechanics

The meshfree approach is one of many recent and continuing developments in the field of computational mechanics, which are used as tools in a number of complex and sophistated techniques. These techniques are applied to a wide range of subject areas such as applied mathematics, materials science, damage mechanics, hydrodynamics, fluid-structure interaction, fluid mechanics, meshes, numeric modelling, finite elements, and civil engineering. In recent years, methods have been developed whose objective is to get rid of mesh constraints. The research into this topic is still ongoing, but it is thought that the development of meshfree approaches might lead to a new generation of computational methods in engineering and applied science. This publication covers a selective list of approaches and sensibilities. It includes formulations based on Moving Least Squares, Smooth Particle Hydrodynamics and Generalized Finite Differences combined with applications in acoustics, fluid and solid mechanics, as well as numerical and experimental data smoothing.

An introduction to moving least squares meshfree methods. Locking in the incompressible limit : pseudo-divergence-free element-free Galerkin. Alternative total Lagrangian formulations for corrected smooth particle hydrodynamics (CSPH) methods in large strain dynamic problems. An extended approach to error control in experimental and numerical data smoothing and evaluation using the meshless FDM. A meshless approach for 2D vibro-acoustic problems. A meshfree method for incompressible fluid flows with incorporated surface tension. On the numerical solution of unsteady fluid flow problems by a meshless method.