elib
DLR-Header
DLR-Logo -> http://www.dlr.de
DLR Portal Home | Imprint | Privacy Policy | Contact | Deutsch
Fontsize: [-] Text [+]

Multiscale simulation of polymeric fluids using the sparse grid combination technique

Rüttgers, Alexander and Griebel, Michael (2017) Multiscale simulation of polymeric fluids using the sparse grid combination technique. Applied Mathematics and Computation, 319, pp. 425-443. Elsevier. DOI: 10.1016/j.amc.2017.04.025 ISSN 0096-3003

[img] PDF
1MB

Official URL: http://dx.doi.org/10.1016/j.amc.2017.04.025

Abstract

We present a computationally efficient sparse grid approach to allow for multiscale simu- lations of non-Newtonian polymeric fluids. Multiscale approaches for polymeric fluids of- ten involve model equations of high dimensionality. A conventional numerical treatment of such equations leads to computing times in the order of months even on massively parallel computers. For a reduction of this enormous complexity, we propose the sparse grid combination technique. Compared to classical full grid approaches, the combination technique strongly reduces the computational complexity of a numerical scheme but only slightly decreases its accuracy. Here, we use the combination technique in a general formulation that balances not only different discretization errors but also considers the accuracy of the mathematical model. For an optimal weighting of these different problem dimensions, we employ a dimension- adaptive refinement strategy. We finally verify substantial cost reductions of our approach for simulations of non-Newtonian Couette and extensional flow problems.

Item URL in elib:https://elib.dlr.de/115782/
Document Type:Article
Title:Multiscale simulation of polymeric fluids using the sparse grid combination technique
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Rüttgers, AlexanderAlexander.Ruettgers (at) dlr.dehttps://orcid.org/0000-0001-6347-9272
Griebel, Michaelinstitute for numerical simulation, university of bonn & fraunhofer institute for algorithms and scientific computing scai, sankt augustinUNSPECIFIED
Date:16 May 2017
Journal or Publication Title:Applied Mathematics and Computation
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:319
DOI :10.1016/j.amc.2017.04.025
Page Range:pp. 425-443
Publisher:Elsevier
ISSN:0096-3003
Status:Published
Keywords:Sparse grids, Combination technique, Dimension-adaptivity, Multiscale simulation, Brownian configuration fields, Multi-bead spring-chains
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:27 Nov 2017 09:50
Last Modified:31 Jul 2019 20:13

Repository Staff Only: item control page

Browse
Search
Help & Contact
Information
electronic library is running on EPrints 3.3.12
Copyright © 2008-2017 German Aerospace Center (DLR). All rights reserved.