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5people:0former:koellermeier:start [2018/06/14 14:10]
julian [Talks, Posters & Presentations]
5people:0former:koellermeier:start [2018/10/17 05:32] (current)
julian [Talks, Posters & Presentations]
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 ====== Dr. Julian Köllermeier ====== ====== Dr. Julian Köllermeier ======
-<color red>(Old website ​of a former member, who has left MathCCES+<color red>(Website ​of a former member, who has recently ​left MathCCES)</​color> ​
-see also [[5people:​0former:​start|list of former members]])</​color> ​+
 \\ \\
  
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 ====== Teaching ====== ====== Teaching ======
-  * [[http://​www.mathcces.rwth-aachen.de/​3teaching/​0classes/​archiv/​gdgl|Gewöhnliche Differentialgleichungen]], SS 2017, RWTH Aachen University+  * Mathematik für Geowissenschaftler II, SS 2018, FU Berlin 
 +  * Gewöhnliche Differentialgleichungen,​ SS 2017, RWTH Aachen University
   * Mathematische Grundlagen III (CES), WS 2016/2017, RWTH Aachen University   * Mathematische Grundlagen III (CES), WS 2016/2017, RWTH Aachen University
   * Analysis für Informatiker,​ WS 2015/2016, RWTH Aachen University   * Analysis für Informatiker,​ WS 2015/2016, RWTH Aachen University
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   * Mathematische Grundlagen I-V (CES), 2009-2012, student teaching assistant, RWTH Aachen University   * Mathematische Grundlagen I-V (CES), 2009-2012, student teaching assistant, RWTH Aachen University
  
-====== ​Publications,​ Projects and Theses ​======+ 
 +====== ​Submitted papers ​======
   * **Diagram notation for the derivation of hyperbolic moment systems**, Julian Koellermeier,​ Yuwei Fan, submitted   * **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 {{:​5people:​koellermeier:​dissertation_koellermeier_published.pdf|.}} +====== Peer-reviewed papers ====== 
-  * **Simplified Hyperbolic Moment Equations**J. KöllermeierM. TorrilhonSpringer Proceedings in Mathematics and Statistics, Proceedings of the 16th International Conference on Hyperbolic Problems ​{{:​5people:​koellermeier:​hyp_koellermeier.pdf|.}}+  ​* **Two-Dimensional Simulation of Rarefied Gas Flows Using Quadrature-Based Moment Equations**,​ Julian Koellermeier,​ Manuel Torrilhon, ​SIAM Multiscale ModelSimul., 16(2)1059–10842018 {{:​5people:​koellermeier:​2D_paper_mms.pdf|.}}
   * **Numerical Study of Partially Conservative Moment Equations in Kinetic Theory**, J. Köllermeier,​ M. Torrilhon, Commun. in Comput. Phys., 21(4), p. 981-1011, 2017 {{:​5people:​koellermeier:​1D_nc_numerics.pdf|.}}   * **Numerical Study of Partially Conservative Moment Equations in Kinetic Theory**, J. Köllermeier,​ M. Torrilhon, Commun. in Comput. Phys., 21(4), p. 981-1011, 2017 {{:​5people:​koellermeier:​1D_nc_numerics.pdf|.}}
   * **Numerical solution of hyperbolic moment models for the Boltzmann equation**, J. Köllermeier,​ M. Torrilhon, Eur. J. Mech. B-Fluids, 64, p. 41-46, 2017 {{:​5people:​koellermeier:​negf_paper.pdf|.}}   * **Numerical solution of hyperbolic moment models for the Boltzmann equation**, J. Köllermeier,​ M. Torrilhon, Eur. J. Mech. B-Fluids, 64, p. 41-46, 2017 {{:​5people:​koellermeier:​negf_paper.pdf|.}}
-  * **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 {{:​5people:​koellermeier:​RGD30_proceeding.pdf|.}} 
   * **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 {{:​5people:​koellermeier:​operator_projection.pdf|.}}   * **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 {{:​5people:​koellermeier:​operator_projection.pdf|.}}
 +  * **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 {{:​5people:​koellermeier:​Framework_Quadrature-Based_Projection_Methods.pdf|.}}
 +  * **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 [[http://​dx.doi.org/​10.1137/​11S011365|SIURO]]
 +
 +====== Peer-reviewed conference proceedings ======
 +  * **Simplified Hyperbolic Moment Equations**,​ J. Köllermeier,​ M. Torrilhon, In: Klingenberg C., Westdickenberg M. (eds) Theory, Numerics and Applications of Hyperbolic Problems II. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 237, 2018 {{:​5people:​koellermeier:​hyp_koellermeier.pdf|.}}
 +  * **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 {{:​5people:​koellermeier:​RGD30_proceeding.pdf|.}}
   * **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 {{:​5people:​koellermeier:​YIC_proceeding_jkoellermeier.pdf|.}}   * **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 {{:​5people:​koellermeier:​YIC_proceeding_jkoellermeier.pdf|.}}
   * **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 {{:​5people:​koellermeier:​hyperbolic_moment_equations_rgd.pdf|.}}   * **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 {{:​5people:​koellermeier:​hyperbolic_moment_equations_rgd.pdf|.}}
-  ​* **A Framework for Hyperbolic ​Approximation of Kinetic ​Equations ​Using Quadrature-Based Projection Methods**, J. Köllermeier,​ R. P. Schärer, M. TorrilhonKinet. Relat. Mod.5(3) p.531-5492014 {{:​5people:​koellermeier:​Framework_Quadrature-Based_Projection_Methods.pdf|.}}+ 
 +====== Theses ====== 
 +  ​* **Derivation and Numerical Solution of Hyperbolic ​Moment ​Equations ​for Rarefied Gas Flows**, Julian KoellermeierdissertationRWTH Aachen University2017 {{:​5people:​koellermeier:​dissertation_koellermeier_published.pdf|.}}
   * **Hyperbolic Approximation of Kinetic Equations Using Quadrature-Based Projection Methods**, J. Köllermeier,​ Master thesis, RWTH Aachen University, 2013 {{:​5people:​koellermeier:​master_thesis.pdf|.}}   * **Hyperbolic Approximation of Kinetic Equations Using Quadrature-Based Projection Methods**, J. Köllermeier,​ Master thesis, RWTH Aachen University, 2013 {{:​5people:​koellermeier:​master_thesis.pdf|.}}
   * **Stochastic Particle Methods for Rarefied Gases**, J. Köllermeier,​ seminar work, RWTH Aachen University, 2013 {{:​5people:​koellermeier:​seminar_paper.pdf|.}}   * **Stochastic Particle Methods for Rarefied Gases**, J. Köllermeier,​ seminar work, RWTH Aachen University, 2013 {{:​5people:​koellermeier:​seminar_paper.pdf|.}}
   * **Comparison of Time-Stepping Schemes for Compressible Gas Dynamics**, J. Köllermeier,​ Bachelor thesis, RWTH Aachen University, 2012 {{:​5people:​koellermeier:​bachelor_thesis.pdf|.}}   * **Comparison of Time-Stepping Schemes for Compressible Gas Dynamics**, J. Köllermeier,​ Bachelor thesis, RWTH Aachen University, 2012 {{:​5people:​koellermeier:​bachelor_thesis.pdf|.}}
-  * **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 [[http://​dx.doi.org/​10.1137/​11S011365|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 {{:​5people:​koellermeier:​stp_report.pdf|.}}   * **Implementation of Implicit Solution Techniques for Non-Equilibrium Hypersonic Flows**, J. Köllermeier,​ von Karman Institute for Fluid Dynamics, Short Training Report 2012-04, 2012 {{:​5people:​koellermeier:​stp_report.pdf|.}}
   * **Asymptotic Accuracy for Boundary Value Problems**, J. Köllermeier,​ M. Torrilhon, project work, RWTH Aachen University, 2011 {{:​5people:​koellermeier:​Asymptotic_Accuracy_for_Boundary_Value_Problems.pdf|.}}   * **Asymptotic Accuracy for Boundary Value Problems**, J. Köllermeier,​ M. Torrilhon, project work, RWTH Aachen University, 2011 {{:​5people:​koellermeier:​Asymptotic_Accuracy_for_Boundary_Value_Problems.pdf|.}}
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 ====== Talks, Posters & Presentations ====== ====== Talks, Posters & Presentations ======
 +  * **Hyperbolic Moment Models for Rarefied Gases: Recent Developments and Future Projects**, seminar talk, Peking University, October 17th, 2018 {{:​5people:​koellermeier:​talk_beijing2018.pdf|.}}
 +  * **Adaptive Simulation of Rarefied Gases Using Hierarchical Moment Models**, International Congress of Mathematicians,​ Rio de Janeiro, August 3rd, 2018 {{:​5people:​koellermeier:​talk_ICM18.pdf|.}}
 +  * **Improving the Convergence of Moment Methods for Rarefied Gases Using Filters**, 31st International Symposium on Rarefed Gas Dynamics, Glasgow, July 26th, 2018 {{:​5people:​koellermeier:​talk_RGD18.pdf|.}}
   * **Accelerated convergence of moment models for the Boltzmann equation using filters**, KU Leuven, Leuven, June 14th, 2018 {{:​5people:​koellermeier:​talk_leuven.pdf|.}}   * **Accelerated convergence of moment models for the Boltzmann equation using filters**, KU Leuven, Leuven, June 14th, 2018 {{:​5people:​koellermeier:​talk_leuven.pdf|.}}
   * **Atmospheric Reentry and Numerical Simulation of Rarefied Gases**, University of Ottawa, Ottawa, March 29th, 2018 {{:​5people:​koellermeier:​talk_ottawa.pdf|.}}   * **Atmospheric Reentry and Numerical Simulation of Rarefied Gases**, University of Ottawa, Ottawa, March 29th, 2018 {{:​5people:​koellermeier:​talk_ottawa.pdf|.}}
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 ====== Supervised Theses ====== ====== Supervised Theses ======
 +  * **Shallow water equations in presence of topography**,​ Maren Casfor, seminar thesis, FU Berlin, June 2017
   * **A Higher-Order Finite Volume Method for Non-Conservative Equations on 2D Unstructured Quadrilateral Grids**, Yannick Dueren, seminar work, RWTH Aachen University, November 2016 {{:​5people:​koellermeier:​seminar_dueren.pdf|.}}   * **A Higher-Order Finite Volume Method for Non-Conservative Equations on 2D Unstructured Quadrilateral Grids**, Yannick Dueren, seminar work, RWTH Aachen University, November 2016 {{:​5people:​koellermeier:​seminar_dueren.pdf|.}}
   * **Development and Implementation of an Algorithm for the Analysis of Loaded Filter Media**, Yannick Dueren, Bachelor thesis, RWTH Aachen University, March 2016 (confidential)   * **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 {{:​5people:​koellermeier:​thesis_Shetty.pdf|.}}   * **Implementation of Adaptive Time Stepping Techniques for Flow Simulations**,​ Rachna Shetty, Bachelor thesis, BITS Pilani, India, December 2015 {{:​5people:​koellermeier:​thesis_Shetty.pdf|.}}
   * **Unstructured quad grid generation and grid management for flow simulations**,​ Laurin Scholz, Bachelor thesis, RWTH Aachen University, October 2014 {{:​5people:​koellermeier:​thesis_scholz.pdf|.}}   * **Unstructured quad grid generation and grid management for flow simulations**,​ Laurin Scholz, Bachelor thesis, RWTH Aachen University, October 2014 {{:​5people:​koellermeier:​thesis_scholz.pdf|.}}