H-MSM Hierachical multi-scale modeling. A single data structure for micro-macro and multi-phase/-field models. (10120)

Goal of the project is to develop a multi-scale computational method that uses a single hierarchical data-structure as basis – involving also multiple fields. Starting from meso-scopic structures (particles or domains) a grid is constructed on a hierarchical, tree-based data structure that allows for micro-macro transition, coupling of different fields, and coarsening or refinement. Algorithms and methods from various disciplines like graph-theory, computational fluid mechanics, molecular dynamics, astrophysics, etc., have to be combined.

The multi-scale model will have a broad range of applications in chemical, mechanical, and civil engineering, where particles co-exist with thermal, electromagnetic and hydrodynamic fields. The industrial partners from the fields of consulting and software development will apply and implement the new method(s) in consulting business and in commercial software with new applications that involve strongly inhomogeneous fields and multiple phases on multiple scales.