Finite pointset method (FPM): meshfree flow solver with applications to elastoplastic material laws

In this paper we present a meshfree particle method for simulations of continuous motion, which is particularly suitable for complex problems such as free surfaces and multiphase flows, moving boundaries etc. Such modeling features frequently occur in many industrial applications, rendering FPM a unique tool for efficient and robust simulation such processes. We will concentrate on industrial applications, especially cutting processes in metal industry. FPM is Lagrangian method. A fluid domain is first replaced by a discrete number of points, which are referred to as particles. Each particle carries all continuous information, like density, velocity, temperature etc. In the Lagrangian method, particles move with fluid velocity. In fact, particles themselves can be considered as geometrical grids of the fluid domain. Spatial approximations are performed using a specialized version of the moving least squares idea, the so called FPM-MLS, which implements stability criteria for general finite difference approaches