Dr. Julian Köllermeier


MATHCCES
Department of Mathematics
RWTH Aachen University
Schinkelstr. 2
D-52062 Aachen
Germany

Office: Rogowski building, room 328b
Phone: +49(0)241 80 98664
Email: .

News

  • I started as PostDoc researcher in the group of Prof. Klein at FU Berlin in October 2017 with a Joint Postdoctoral Fellowship of FU Berlin and Peking University

Open Projects for Students

Research Interests

  • Hyperbolic PDEs
  • Numerics for non-conservative hyperbolic PDE systems
  • Moment methods for rarefied gases
  • Non-classical quadrature and Quadrature-based projections

Office Hours

By appointment. Please contact me via e-mail.

About me

I am PostDoc in the group of Prof. Klein at Freie Universität Berlin. I studied at RWTH Aachen University and did my PhD in Mathematics with Prof. Torrilhon.

  • since 10/2017 PostDoc at Freie Universität Berlin
  • 7/2017 PhD in Applied Computational Mathematics at MathCCES, RWTH Aachen University
  • 09/2013 M.Sc. in Computational Engineering Science at RWTH Aachen University
  • 03/2012 B.Sc. in Computational Engineering Science at RWTH Aachen University

I am a member of the SIAM Student Chapter at RWTH Aachen, for more information see SIAMSC RWTH Aachen

Teaching

  • Gewöhnliche Differentialgleichungen, SS 2017, RWTH Aachen University
  • Mathematische Grundlagen III (CES), WS 2016/2017, RWTH Aachen University
  • Analysis für Informatiker, WS 2015/2016, RWTH Aachen University
  • Mathematische Grundlagen II (CES), SS 2015, RWTH Aachen University
  • Mathematical Models in Science and Engineering (PDEs), SS 2014, RWTH Aachen University
  • Mathematische Grundlagen I (CES), WS 2013/2014, RWTH Aachen University
  • Mathematische Grundlagen I-V (CES), 2009-2012, student teaching assistant, RWTH Aachen University

Publications, Projects and Theses

  • Diagram notation for the derivation of hyperbolic moment systems, Julian Koellermeier, Yuwei Fan, submitted
  • Two-Dimensional Simulation of Rarefied Gas Flows Using Quadrature-Based Moment Equations, Julian Koellermeier, Manuel Torrilhon, submitted
  • Derivation and Numerical Solution of Hyperbolic Moment Equations for Rarefied Gas Flows, Julian Koellermeier, dissertation, RWTH Aachen University, 2017 .
  • Simplified Hyperbolic Moment Equations, J. Köllermeier, M. Torrilhon, Springer Proceedings in Mathematics and Statistics, Proceedings of the 16th International Conference on Hyperbolic Problems .
  • Numerical Study of Partially Conservative Moment Equations in Kinetic Theory, J. Köllermeier, M. Torrilhon, Commun. in Comput. Phys., 21(4), p. 981-1011, 2017 .
  • Numerical solution of hyperbolic moment models for the Boltzmann equation, J. Köllermeier, M. Torrilhon, Eur. J. Mech. B-Fluids, 64, p. 41-46, 2017 .
  • Shock structure simulation using hyperbolic moment models in partially-conservative form, J. Köllermeier, M. Torrilhon, Proceedings of the 30th Symposium on Rarefied Gas Dynamics, AIP Conf. Proc. 1786, 140004, 2016 .
  • Model Reduction of Kinetic Equations by Operator Projection, Y. Fan, J. Köllermeier, J. Li, R. Li, M. Torrilhon, J. Stat. Phys., 162(2), p. 457-486, 2016 .
  • On new hyperbolic moment models for the Boltzmann equation, J. Köllermeier, M. Torrilhon, Conference Proceedings of the YIC GACM 2015, Publication Server of RWTH Aachen University, p.142-145, 2015 .
  • Hyperbolic moment equations using quadrature-based projection methods, J. Köllermeier, M. Torrilhon, Proceedings of the 29th Symposium on Rarefied Gas Dynamics, AIP Conf. Proc. 1628, p.626-633, 2014 .
  • A Framework for Hyperbolic Approximation of Kinetic Equations Using Quadrature-Based Projection Methods, J. Köllermeier, R. P. Schärer, M. Torrilhon, Kinet. Relat. Mod., 5(3) p.531-549, 2014 .
  • Hyperbolic Approximation of Kinetic Equations Using Quadrature-Based Projection Methods, J. Köllermeier, Master thesis, RWTH Aachen University, 2013 .
  • Stochastic Particle Methods for Rarefied Gases, J. Köllermeier, seminar work, RWTH Aachen University, 2013 .
  • Comparison of Time-Stepping Schemes for Compressible Gas Dynamics, J. Köllermeier, Bachelor thesis, RWTH Aachen University, 2012 .
  • Solving a Non-Linear Partial Differential Equation for the Simulation of Tumour Oxygenation, J. Köllermeier, L. Kusch, T. Lajewski, SIAM Undergraduate Research Online, 5, p.128-147, 2012, available online at SIURO
  • Implementation of Implicit Solution Techniques for Non-Equilibrium Hypersonic Flows, J. Köllermeier, von Karman Institute for Fluid Dynamics, Short Training Report 2012-04, 2012 .
  • Asymptotic Accuracy for Boundary Value Problems, J. Köllermeier, M. Torrilhon, project work, RWTH Aachen University, 2011 .
  • Virtual tumour project, J. Köllermeier, L. Kusch, T. Lajewski, project work, RWTH Aachen University, 2011 .

Talks, Posters & Presentations

  • Derivation and Numerical Solution of Hyperbolic Moment Equations for Rarefied Gas Flows, invited speaker at Workshop on Moment Methods in Kinetic Theory III, Peking University, September 27th, 2017 .
  • Derivation and Numerical Solution of Hyperbolic Moment Equations for Rarefied Gas Flows, PhD defense, RWTH Aachen University, July 26th, 2017 .
  • Numerical Simulation of Rarefied Gases using Hyperbolic Moment Equations in Partially-Conservative Form, Free University Berlin, May 18th, 2017 .
  • On a New Diagram Notation for the Derivation of Hyperbolic Moment Models, Stanford University, March 17th, 2017 .
  • Higher order numerical schemes for non-conservative hyperbolic PDEs on 2D unstructured grids, SIAM Conference on Computational Science and Engineering, Atlanta, March 1st, 2017 .
  • Extension of standard fluid dynamics equations: Simulation of rarefied gases using hyperbolic moment models, poster presentation at SIAM Conference on Computational Science and Engineering, Atlanta, February 28th, 2017 .
  • Atmospheric Entry - Technology, Mathematical Model and Simulation, SIAM Student Chapter Seminar on Applied Mathematics, RWTH Aachen University, August 26th, 2016 .
  • On the Derivation and Numerical Solution of Stable Hyperbolic Moment Equations, 16th International Conference on Hyperbolic Problems, Aachen, August 1st, 2016 .
  • Numerical Convergence Study of Hyperbolic Moment Models in Partially-Conservative Form, 30th International Symposium on Rarefed Gas Dynamics, Victoria, July 12th, 2016 .
  • On the Stability of Hyperbolic Moment Equations, Beijing Computational Science Research Center, Beijing, May 24th, 2016 .
  • Atmospheric Reentry Simulation, Berlin, April 26th, 2016 .
  • Numerical Solution of Hyperbolic Moment Models for the Boltzmann Equation, 2nd European Conference on Non-equilibrium Gas Flows, TU Eindhoven, December 10th, 2015 .
  • On the Stability and Numerical Solution of Partially Conservative Hyperbolic Moment Equations, lunch talk seminar at MathCCES, RWTH Aachen University, November 26th, 2015 .
  • Reentry - From Science Fiction to Simulation, Bonn, November 1st, 2015 .
  • Comparison of Numerical Solutions for the Boltzmann Equation and Different Moment Models, Chinese Academy of Sciences, Beijing, October 12th, 2015 .
  • Numerical Solution of Hyperbolic Moment Equations for the Boltzmann Equation, Peking University, Beijing, October 8th, 2015 .
  • Numerical solution of hyperbolic moment models for the Boltzmann equation in non-conservative form, poster presentation at AC.CES conference, RWTH Aachen University, July 23rd, 2015 .
  • On new hyperbolic moment models for the Boltzmann equation, ECCOMAS Young Investigators Conference, RWTH Aachen University, July 21st, 2015 .
  • Atmospheric Reentry - Mathematical Modelling of Rarefied Gases, Heidelberg, April 24th, 2015 .
  • On the Numerical Solution of the Boltzmann Equation Using Quadrature-Based Projection Methods, poster presentation at SIAM Conference on Computational Science and Engineering, Salt Lake City, March 15th, 2015 .
  • On an Operator Projection Framework for Kinetic Equations, lunch talk seminar at MathCCES, RWTH Aachen University, December 11th, 2014 .
  • Quadrature-Based Moment Method for the Boltzmann Equation, poster presentation at Workshop on Moment Methods in Kinetic Theory II, Toronto, October 15th, 2014 .
  • Atmospheric Reentry - Introduction, Mathematical Model and Simulation, Gummersbach, August 23rd, 2014 .
  • Adaptive and Hyperbolic Quadrature-Based Moment Method for the Boltzmann Equation, Peking University, Beijing, August 18th, 2014 .
  • Comparison of Hyperbolic Moment Models for the Boltzmann Equation, China Three Gorges University, Yichang, August 8th, 2014 .
  • Hyperbolic Moment Equations Using Quadrature-Based Projection Methods, 29th International Symposium on Rarefed Gas Dynamics, Xi'an, July 14th, 2014 .
  • Hyperbolic Approximation of Kinetic Equations Using Quadrature-Based Projection Methods, Master Thesis defense at MathCCES, RWTH Aachen University, September 25th, 2013 .
  • Stochastic Particle Methods for Rarefifed Gases, seminar talk at MathCCES, RWTH Aachen University, February 1st, 2013 .
  • Comparison of Time Stepping Techniques for Compressible Gas Dynamics, Bachelor Thesis defense at MathCCES, RWTH Aachen University, May 3rd, 2012 .
  • Implementation of Implicit Solution Techniques for Non-equilibrium Hypersonic Flows, Internship Report at von Karman Institute, Brussels, December 15th, 2011 and at MathCCES, RWTH Aachen University, January 12th, 2012 .
  • Solving a non-linear partial differential equation for the simulation of tumour oxygenation, Karolinska Institute, Stockholm, September 19th, 2011 .
  • Virtual tumour project, project presentation/lunch talk at MathCCES, RWTH Aachen University, May 26th, 2011 .

Supervised Theses

  • A Higher-Order Finite Volume Method for Non-Conservative Equations on 2D Unstructured Quadrilateral Grids, Yannick Dueren, seminar work, RWTH Aachen University, November 2016 .
  • Development and Implementation of an Algorithm for the Analysis of Loaded Filter Media, Yannick Dueren, Bachelor thesis, RWTH Aachen University, March 2016 (confidential)
  • Implementation of Adaptive Time Stepping Techniques for Flow Simulations, Rachna Shetty, Bachelor thesis, BITS Pilani, India, December 2015 .
  • Unstructured quad grid generation and grid management for flow simulations, Laurin Scholz, Bachelor thesis, RWTH Aachen University, October 2014 .
Last modified: 2017/11/21 09:21