Grid-free methods

Fraunhofer Institute for Industrial Mathematics ITWM

The Finite Pointset Method (FPM), which has been developed in the department, is an individual, independent basic software for simulation tasks in a wide area of flow and continuum mechanical problems. FPM is a particle method, i. e. a grid-free method which, in contrast to classical numerical methods, such as Finite Elements or Finite Volumes, does not require a grid or mesh. Thus, it can excellently be applied in the case of all time-dependent problems, where grid-based methods reach their limits due to the necessary remeshing. Examples are fluid dynamical problems with free surfaces, multiphase flows, fluid-structure interactions with a strong change of the computing domain, or structure mechanical problems with substantial structure changes.