38 citations · 105 across the 8 of their papers we have counts for
8 papers
Giesekus Stick-Slip Singularity: Asymptotic Theory in the Log-Conformation Formulation
Florian Becker, Philipp Knechtges
In this paper, the log-conformation reformulation of a Giesekus fluid near a planar stick-slip singularity is investigated analytically. In what is, to our knowledge, the first use…
An Eigenvalue-Free Implementation of the Log-Conformation Formulation
Florian Becker, Katharina Rauthmann, Lutz Pauli +1
The log-conformation formulation, although highly successful, was from the beginning formulated as a partial differential equation that contains an, for PDEs unusual, eigenvalue de…
HeAT -- a Distributed and GPU-accelerated Tensor Framework for Data Analytics
Markus Götz, Daniel Coquelin, Charlotte Debus +9
To cope with the rapid growth in available data, the efficiency of data analysis and machine learning libraries has recently received increased attention. Although great advancemen…
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…
Non-local Higgs actions: Tree-level electroweak constraints and high-energy unitarity
M. Beneke, P. Knechtges, A. Mück
We consider electroweak symmetry breaking by a certain class of non-local Higgs sectors. Extending previous studies employing the Mandelstam condition, a straight Wilson line is us…