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


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.


Scientific article

  • K. Yazdchi, M. Salehi, M.M. Shokrieh(2009): Analytical and numerical techniques for predicting the interfacial stresses of wavy carbon nanotube/polymer composites Mechanics of Composite Materials pp. 207 - 212 ISSN: 0191-5665.
  • O. Duran, N.P. Kruyt, S. Luding(2010): Micro-mechanical analysis of deformation characteristics of three-dimensional granular materials Int. J. of Solids and Structures pp. 2234 - 2245
  • K. Yazdchi, S. Srivastava, S. Luding(2011): Microstructure effects on the permeability of periodic fibrous porous media Int. J. Multiphase Flow Vol. 37 (8) 956-966
  • V. Ogarko, S. Luding(2011): A fast multilevel algorithm for contact detection of arbitrarily polydisperse objects Comput. Phys. Commun. http://dx.doi.org/10.1016/j.cpc.2011.12.019
  • K. Yazdchi, M. Salehi(2011): The effect of CNT waviness on interfacial stress transfer characteristics of CNT/polymer composites Composites Part A Vol. pp. 1301 - 1309
  • V. Ogarko, S. Luding(2012): A fast multilevel algorithm for contact detection of arbitrarily polydisperse objects Computer Physics Communications pp. 931 - 936
  • K. Jazdchi, S. Luding(2012): Towards unified drag laws for inertial flow through fibrous materials Chemical Engineering Journal pp. 35 - 48
  • K. Yazdchi, S. Srivastava, S. Luding(2012): Micro-macro relations for flow through random arrays of cylinders Composites Part A pp. 2007 - 2020
  • V. Ogarko, S. Luding(2012): Equation of state and jamming density for equivalent bi- and polydisperse, smooth, hard sphere systems Journal of Chemical Physics pp. 124508
  • V. Ogarko, S. Luding(2013): Prediction of polydisperse hard-sphere mixture behavior using tridisperse systems Soft Matter pp. 9530 - 9534
  • K. Yazdchi, S. Luding(2013): Upscaling and microstructural analysis of the flow-structure relation perpendicular to random, parallel fiber arrays Chem. Eng. Sci. pp. 173 - 185
  • A.R. Thornton, T. Weinhart, V. Ogarko, S. Luding(2013): Multi-Scale Methods for Multi-Component Granular Materials Comp. Methods in Mater. Science pp. 197 - 212 ISSN: 1641-8581.
  • A. Narvaez, K. Yazdchi, S. Luding, J.D.R. Harting(2013): From creeping to inertial flow in porous media: a lattice Boltzmann - finite element study J. Stat. Mech.
  • N. Rivas, V. Ogarko, S. Luding(2014): Communication: Structure characterization of hard sphere packings in amorphous and crystalline states Journal of Chemical Physics pp. 211102
  • S. Srivastava, K. Yazdchi, S. Luding(2014): Meso-scale coupling of FEM/DEM for fluid-particle interactions Phil. Trans. R. Soc. A pp. 20130386
  • D. Krijgsman, V. Ogarko, S. Luding(2014): Optimal parameters for a hierarchical grid data structure for contact detection in arbitrarily polydisperse particle systems Computational Particle Mechanics pp. 357 ISSN: 2196-4378.

Chapter in book

  • K. Yazdchi, M. Salehi: Constitutive modeling of viscoelastic behavior of CNT/Polymer composites pp. 136 - 139
  • S. Luding: Constitutive relations of dense granulates with friction and adhesion from DEM pp. 159 - 162
  • S. Luding(2009): From molecular dynamics and particle simulations towards constitutive relations for continuum theory pp. 453 - 492

Book or monography

  • S. Luding: From molecular dynamics and particle simulations towards constitutive relations for continuum theory pp. 40


  • K. Yazdchi: Micro-macro relations for flow through fibrous media , ENSCHEDE  November 28, 2012
  • V. Ogarko(2014): Microstructure and macroscopic properties of polydisperse systems of hard spheres  May 2, 2014


Project number


Main applicant

Prof. dr. S. Luding

Affiliated with

Universiteit Twente, Faculteit der Construerende Technische Wetenschappen (CTW), Multi Scale Mechanics (MSM)

Team members

Dr. S. Nurijayan, Dr. ir. V. Ogarko, Dr. ir. V. Ogarko, Dr. S. Srivastava, Dr. S. Srivastava, Dr. ir. K. Yazdchi


01/11/2008 to 31/10/2013