A meshfree formulation for CFD and linear elasticity problems

This paper documents the development and application of a meshless procedure for computational fluid dynamics and linear elasticity problems. The meshfree nature of this method gives the advantage of dealing with highly distorted domains and even fragmentations without the need of using computationally expensive remeshing approaches and with a very simple implementation. A description of the implementation of this method and also the solutions of some benchmark problems will be presented in order to demonstrate the potential of this formulation for dealing with problems in these fields and to introduce promising future fields of application. (paper)