38 citations · 105 across the 8 of their papers we have counts for
4 papers · 1 filter
Automatic implementation of material laws: Jacobian calculation in a finite element code with TAPENADE
Florian Zwicke, Philipp Knechtges, Marek Behr +1
In an effort to increase the versatility of finite element codes, we explore the possibility of automatically creating the Jacobian matrix necessary for the gradient-based solution…
An ultraweak DPG method for viscoelastic fluids
Brendan Keith, Philipp Knechtges, Nathan V. Roberts +3
We explore a vexing benchmark problem for viscoelastic fluid flows with the discontinuous Petrov-Galerkin (DPG) finite element method of Demkowicz and Gopalakrishnan [1,2]. In our…
The fully-implicit log-conformation formulation and its application to three-dimensional flows
Philipp Knechtges
The stable and efficient numerical simulation of viscoelastic flows has been a constant struggle due to the High Weissenberg Number Problem. While the stability for macroscopic des…
Fully-implicit log-conformation formulation of constitutive laws
Philipp Knechtges, Marek Behr, Stefanie Elgeti
Subject of this paper is the derivation of a new constitutive law in terms of the logarithm of the conformation tensor that can be used as a full substitute for the 2D governing eq…