Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation

By Raanan Fattal, Raz Kupferman. 2005

384 citations recorded by the source corpus.

Subfields: Computational Mechanics, Fluid Flow and Transfer Processes

View Paper: https://www.semanticscholar.org/paper/a79e07d9937172282cb36c9cb7d28f7bcbe2daf6

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In Computational Mechanics

In Fluid Flow and Transfer Processes

Citations in the corpus

Flow of viscoelastic fluids past a cylinder at high Weissenberg number : stabilized simulations using matrix logarithms (2005, methodology): “As explained in[1] and[3], the numerical instability de cribed above can be removed by solving for s = logc instead f c.”
The log-conformation tensor approach in the finite-volume method framework (2009, positive): “Later, Fattal and Kupferman [ 11 ] applied the log-conformation scheme to the flow of an Oldroyd-B fluid in the same geometry, using a multigrid solver, and reported the ability to perform stable simulations at large values of the Weissenberg number.”
Numerical Methods for Viscoelastic Fluid Flows (2021, methodology): “In a second paper, Fattal & Kupferman (2005) described in more detail the motivations and advantages of their method and provided numerical results for the lid-driven cavity benchmark flow, using an FDM.”
Perspectives on viscoelastic flow instabilities and elastic turbulence (2021, methodology): “Consequently, numerical schemes have been devised so that they guarantee that c always remains positive definite, such as the log-conformation tensor methodology proposed by Fattal and Kupperman [125, 126] or the matrix decomposition proposed by Vaithianathan and Collins [127].”
Multiphysics modelling of manufacturing processes: A review (2018, methodology): “The simulations crash when the conformation tensor c= tp G + I ð12Þ a non-dimensional internal variable representing the strain of the polymer chains, which should be symmetric positive definite by definition,105 looses its positive definiteness.105–107 Moreover, the loss of positive definiteness ha”