Rüttgers, Alexander; Griebel, Michael: Multiscale simulation of polymeric fluids using the sparse grid combination technique. In: INS Preprints, 1623.
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11978
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11978
@unpublished{handle:20.500.11811/11978,
author = {{Alexander Rüttgers} and {Michael Griebel}},
title = {Multiscale simulation of polymeric fluids using the sparse grid combination technique},
publisher = {Institut für Numerische Simulation (INS)},
year = 2017,
month = oct,
INS Preprints},
volume = 1623,
note = {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.},
url = {https://hdl.handle.net/20.500.11811/11978}
}
author = {{Alexander Rüttgers} and {Michael Griebel}},
title = {Multiscale simulation of polymeric fluids using the sparse grid combination technique},
publisher = {Institut für Numerische Simulation (INS)},
year = 2017,
month = oct,
INS Preprints},
volume = 1623,
note = {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.},
url = {https://hdl.handle.net/20.500.11811/11978}
}