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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.

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


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
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Rüttgers, AlexanderUNSPECIFIEDhttps://orcid.org/0000-0001-6347-9272UNSPECIFIED
Griebel, Michaelinstitute for numerical simulation, university of bonn & fraunhofer institute for algorithms and scientific computing scai, sankt augustinUNSPECIFIEDUNSPECIFIED
Date:16 May 2017
Journal or Publication Title:Applied Mathematics and Computation
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 425-443
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 System Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Space System Technology
DLR - Research theme (Project):R - Vorhaben SISTEC (old)
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:02 Nov 2023 14:42

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