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Dipl.-Phys. Philipp Knechtges

Chair for Computational Analysis of Technical Systems (CATS) at RWTH Aachen

Directions

Schinkelstr. 2 (Rogowski Building) Room 224
52062 Aachen
Tel.: (+49) 241 80 99921
Fax: (+49) 241 80 99910
Mail: knechtges[A_T]cats.rwth-aachen.de

Research Interests

  • Simulation of viscoelastic fluids
    My interest in viscoelastic fluids ranges from ensuring numerical stability of simulations governed by the Oldroyd-B or Giesekus model to applications, like, e.g., the prediction of swell ratios in plastic-extrusion processes. At the moment I am addressing the former by log-conformation methods, which are combined with an interface tracking mechanism for the latter.
  • Massive parallel linear solvers
    The current advancements of high performance computing into higher spheres with increasing number of cores puts more pressure on the linear solver. In order to alleviate these problems we are currently looking into parallelizable preconditioners for our already parallel GMRES implementation.
  • PDEs on manifolds
    This is so far more a pet-project, which emerged from the Isogeometric Analysis course, where one of the exercises is to solve Plateau's problem.

    Plateau's Problem

    Solution to Plateau's Problem

Teaching

Mentoring/Supervised Theses

  • Jakub Both, Analysis of Schur Complement Based Preconditioning of Navier-Stokes Equations, Master's Thesis, Chair for Computational Analysis of Technical Systems, RWTH Aachen, October 2015.

  • Maximilian von Danwitz, Simulation of Rising Bubbles in Viscoelastic Fluids, Master's Thesis, Chair for Computational Analysis of Technical Systems, RWTH Aachen, September 2015.

  • Florian Zwicke, Application of an Automatic Differentiation Tool to the In-House Flow Solver, Master's Thesis, Chair for Computational Analysis of Technical Systems, RWTH Aachen, February 2015.

  • Florian Zwicke, A posteriori error estimator for the incompressible Stokes equations, Seminar Thesis, Chair for Computational Analysis of Technical Systems, RWTH Aachen, September 2014.

  • Erik Gros, Comparing In-House Numerical Simulations to the Analytical Solution of the Poiseuille Flow for the Oldroyd-B Model, Bachelor's Thesis, Chair for Computational Analysis of Technical Systems, RWTH Aachen, February 2013.

Publications (arXiv,ORCID)

Miscellaneous

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