Multiscale simulation of polymeric fluids using the sparse grid combination technique
Multiscale simulation of polymeric fluids using the sparse grid combination technique
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dc.contributor.author | Rüttgers, Alexander | |
dc.contributor.author | Griebel, Michael | |
dc.date.accessioned | 2024-08-27T10:03:58Z | |
dc.date.available | 2024-08-27T10:03:58Z | |
dc.date.issued | 10.2017 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/11978 | |
dc.description.abstract | We present a computationally efficient sparse grid approach to allow for multiscale simulations of non-Newtonian polymeric fluids. Multiscale approaches for polymeric fluids often 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. | en |
dc.format.extent | 25 | |
dc.language.iso | eng | |
dc.relation.ispartofseries | INS Preprints ; 1623 | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | sparse grids | |
dc.subject | combination technique | |
dc.subject | dimension-adaptivity | |
dc.subject | multiscale simulation | |
dc.subject | Brownian configuration fields | |
dc.subject | multi-bead spring-chains | |
dc.subject.ddc | 510 Mathematik | |
dc.subject.ddc | 518 Numerische Analysis | |
dc.title | Multiscale simulation of polymeric fluids using the sparse grid combination technique | |
dc.type | Preprint | |
dc.publisher.name | Institut für Numerische Simulation (INS) | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.relation.doi | https://doi.org/10.1016/j.amc.2017.04.025 | |
ulbbn.pubtype | Zweitveröffentlichung | |
dc.version | updatedVersion | |
dcterms.bibliographicCitation.url | https://ins.uni-bonn.de/publication/preprints |
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