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Sparse grids - an approach to reduce the complexity of multiscale simulations

Rüttgers, Alexander (2018) Sparse grids - an approach to reduce the complexity of multiscale simulations. Annual European Rheology Conference 2018, 17.-20. Apr. 2018, Sorrent, Italien. (Unpublished)

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Abstract

A computationally efficient algorithm for multiscale simulations of non-Newtonian fluids is presented. This novel approach bases on a sparse grid discretization and extends previous simulations with a FENE dumbbell model in three-dimensional square-square contraction geometries. Multiscale simulations lead to model equations of high dimensionality. Depending on the number of spring segments, the configuration space for the polymer model has up to twenty dimensions. Therefore, multiscale simulations suffer from the curse of dimensionality and either require massively parallel computations or a problem-adapted approach such as sparse grids. In this talk, we compare our multiscale simulation with results from literature and obtain a good agreement. Furthermore, we demonstrate that our approach reduces the complexity of multiscale simulations by one order of magnitude.

Item URL in elib:https://elib.dlr.de/119807/
Document Type:Conference or Workshop Item (Speech)
Title:Sparse grids - an approach to reduce the complexity of multiscale simulations
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Rüttgers, AlexanderAlexander.Ruettgers (at) dlr.dehttps://orcid.org/0000-0001-6347-9272
Date:2018
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Unpublished
Keywords:sparse grids, combination technique, dimension-adaptivity, multiscale simulation, Brownian configuration fields, multi-bead spring-chains
Event Title:Annual European Rheology Conference 2018
Event Location:Sorrent, Italien
Event Type:international Conference
Event Dates:17.-20. Apr. 2018
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):R - Vorhaben SISTEC
Location: Köln-Porz
Institutes and Institutions:Institut of Simulation and Software Technology > High Performance Computing
Deposited By: Rüttgers, Dr. Alexander
Deposited On:20 Jul 2018 09:44
Last Modified:31 Jul 2019 20:17

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