• Solid and fluid, single phase continuum only approximation;

• Conversional math and physics models

• Continuous cases ¨C more tedious to deal with, less accurate

  music, image, various electromagnetic signals

• Homogenization ¨C less details, no general approach

  porous and multiphase -> continuum

• Discretion in mathematics and physics

  - Solving equations ¨C numerical algorithms

  - PDF¡¯s ¨C Finite difference analysis, finite element analysis.

• Discretion in physics - a few statistical and quantum models

  - Ising model, Cellular automate

  - Lattice Boltzmann method

Discretion of a problem- grids to digitize the system

Structure descriptions

• Stochastic features of porous structure;

• No two random structures of porous media exactly the same;

• Statistical information for equivalent macro-behaviors;

• Reproduced structure - the same statistical (effective) features.

A robust computational method for complex materials