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

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Multiscale Modeling and Computation

Lecturers & Examiners: Dr. Petros Koumoutsakos, Prof. Dr. Martin Kröger

VVZ CR n/a

Last Updated: 2026-02-05 15:07:04

Abstract

Fundamentals of multiscale modeling and computation with emphasis on the coupling of physical descriptions across different scales andon multiresolution 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. 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 II. Multiresolution modeling Multigrid Techniques for grid based methods Multipole particle methods Wavelets

Resources

Lecture Notes

Class Notes and Handouts

Literature

Multiscale Flow Simulations using Particles, Annn. Rev. Fluid Mech., 2005

General Information

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

Examination

Type: session examination
Mode: written 60 minutes
Aids: Everything is allowed

Course Components

Type	Title	Time & Place	Hours
lecture	Multiscale Modeling and Computation	Thu 15:15-17:00 (CAB G 61)	2 h weekly
exercise	Multiscale Modeling and Computation	Mon 13:15-14:00 (CAB G 61)	1 h weekly