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Universität Erlangen-Nürnberg
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Technische Universität München
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Universität Stuttgart

Ferien-Akademie

Sarntal/Südtirol, September 18 - September 30, 2011

Course 20: Ph.D.-level course

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Dozenten

A. Arnold, Stuttgart, G. Leugering, Erlangen, D. Pflüger, München

Multiscale and Multilevel Modeling and Simulation

Current problems in scientific computing have to be targeted on multiple scales, which raises a lot of different questions and poses many challenges:

  • the problem's behavior can differ for each scale (consider the flow around the wing of an airplane: on a course scale, it seems to be laminar, on a fine scale it is clearly turbulent)
  • different areas can require different resolution (solid areas should be treated on a different scale than fluids in multi-phase simulations)
  • the interplay of different scales is of great interest
  • mesoscopic particle models aim to cope with different scales
  • optimization can exploit properties on multiple levels of resolution
  • hierarchical/multilevel and adaptive models reflect different scales of resolution
  • scientific software approaches and algorithms to visualize the results target different scales and levels, and need to be combined
  • different soft- and hardware approaches in high-performance computing need to be combined in multi-level systems .
In several tutorials, we will have a closer look on some aspects, and individual presentations about the current state of the individual Ph.D. projects are encouraged to emphasize where multiscale and multilevel aspects come into play.

Some keywords

Particles in flow (non-Newtonian flow, polymeric flow etc.); two-phase simulations; force-field optimization; hardware-aware simulation (memory-hierarchy); selforganizsation of matter (nucleation, transport, segregation); multi-level and hierarchical methods and optimization; (adaptive) coarse-graining; level-of-detail; mesoscopic particle methods; smart foams; hierarchical materials; reduced base modeling; multiscale and large scale simulation

Application

Application until May 29, 2011 via the central application page here. Please note that for the Ph.D.-level course not all data that you are asked for is relevant: You can skip the section "academic achievements", asking for the exams you have taken so far; you do not need a copy of your passport (but make sure, you're allowed to enter Italy via Austria!); no need to provide the high school certificate; no need for further certificates of relevance.

Presentations

All slides and additional material from the individal presentations.

Tutorial Sven, Daniel Reduced Basis and RBMatlab Tutorial [slides]  
  Sven Kaulmann A Localized Reduced Basis Approach for Heterogenous Multiscale Problems [slides]
Daniel Wirtz Model reduction with kernel methods [slides]  
  Maximilian Walther Simulation based Model Reduction with Proper Orthogonal Decomposition [slides]
Gizem Inci Modeling Nano-Particle Agglomeration in Convective Environments [slides]  
Tutorial Christoph, Kaveh Shallow Water on GPUs [slides]
[slides??]
 
  Kaveh Rahnema A Software Concept for Cache-Efficient Simulation on Dynamically Adaptive Structured Triangular Grids [slides]
Christoph Riesinger Multi GPU Programming [slides]  
  Dominik Bartuschat Parallel Simulation of Particle-Laden Electrokinetically Driven Micro-fluid Flows [slides]
Robin Weiß Multiparametric Neuralanalytic [flash]  
Tutorial Christoph, Tobias, Stefan, Maximilian Optimierung [slides]
[slides]
[slides]
[slides]
 
  Stefan Werner Simulation of dynamic frictional contact problems with large elasto-plastic deformations [slides]
Christoph Strohmeyer Damaging of High Pressure Piping Systems [slides]  
  Kai Kratzer Crystallization of charged macromolecules [slides]
Axel Arnold Electrostatics in periodic boundary conditions:
Ewald and P3 M
[slides]  
Tutorial Gerrit, Daniel, Christoph Sparse Grids [slides]
[slides]
[slides]
[python]
 
  Gerrit Buse Permutation-based Sparse Grid Algorithms [slides]
Daniel Butnaru Sparse Grid Surrogate Models [slides]  
  Dirk Pflüger Classification and Regression with Sparse Grids [slides]
Christoph Kowitz The Combination Technique in Linear Gyrokinetics [slides]  
  Tobias Kufner Structural Optimization of Timoshenko Beams [slides]
Michael Stingl Material Optimisation: From Theory to Practise [slides]  
Tutorial Axel, Kai, Gizem, Nadja ESPResSo [slides]  
  Markus Hegland Lecture on ill-posed problems

Course pictures are [here]

Links