A new Galerkin finite element scheme for the numerical simulation of three-dimensional time-dependent flow of K-BKZ fluids has been developed. The scheme was used to model the polymer melt flow in nano imprint lithography (NIL). In NIL a sub micrometer pattern is hot pressed onto a thin polymer film on a hard substrate. The numerical method is based on a Lagrangian kinematics description of the fluid, where the (Cartesian) coordinate system attached to the particles is discretized by ten-node quadratic tetrahedral elements. The time integral in the K-BKZ model is discretized by a quadratic interpolation ensuring third order convergence in time. The method has been benchmarked on the free surface problem of a filament stretched between two plates.
|Title of host publication||:Proceedings of The 15. International Congress on Rheology, 2008|
|Publication status||Published - 2008|
|Event||15th International Congress on Rheology: The Society of Rheology 80th Annual Meeting - Monterey, CA, United States|
Duration: 3 Aug 2008 → 8 Aug 2008
Conference number: 15
|Conference||15th International Congress on Rheology|
|Period||03/08/2008 → 08/08/2008|