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251-0567-00L 5 Credits BSC , DS , MSC , WBZ D-HEST , D-MATL , D-MAVT , D-INFK , D-PHYS , D-ITET , D-MATH , D-BSSE

Multiscale Modeling and Computation

Lecturers & Examiners: Dr. Petros Koumoutsakos, Prof. Dr. Martin Kröger, Prof. Dr. Oleg Vasilyev
VVZ CR n/a

Last Updated: 2026-02-05 15:25:16

Abstract

Fundamentals of multiresolution and multiscale modeling and computation.Coupling of physical descriptions across different scales andmultiresolution computational methods.Multiscale concepts are introduced using examples from engineering and scientific problems.

Objective

Development of fundamental concepts of multiscaling. Description of multiresolution algorithms and multiphysics techniques including stochastic simulations algorithms and their coupling to deterministic schemes.

Content

I. Multiresolution modeling Multigrid Techniques for grid based methods Multipole particle methods Wavelets II. Multi-Physics Modeling Derivation and coupling of Atomistic - Mesoscale -Continuum descriptions Hybrid algorithms : Molecular Dynamics - Partial Differential equations The Master equation for discrete and continuum systems

Resources

Lecture Notes

Class Notes and Handouts

Literature

Multiscale Flow Simulations using Particles, Annual Review of Fluid Mechanics, 2005 M. Kröger, Models for polymeric and anisotropic liquids (Springer, Berlin, 2005)

General Information

Language
English
Levels
BSC , DS , MSC , WBZ
Frequency
Yearly recurring

Examination

Type
end-of-semester examination
The 3 hour written exam will take place in the final week of the class.All material allowed.

Course Components

Type Title Time & Place Hours
lecture Multiscale Modeling and Computation
  • Wed 10:15-12:00 (CAB G 61)
2 h weekly
exercise Multiscale Modeling and Computation
  • Mon 13:15-14:00 (CAB G 61)
1 h weekly

Offered In