Department of Mathematics
Webrelaunch 2020
Department of Mathematics
Home Page
Institutes
Institute for Applied and Numerical Mathematics
Research Group 2: Numerics of Partial Differential Equations
Dr. Stephan Simonis
Photo of Stephan Simonis

Dr. Stephan Simonis

  • Karlsruhe Institute of Technology (KIT)
    Institute for Applied and Numerical Mathematics (IANM2)
    Englerstr. 2
    D-76131 Karlsruhe

test.gif

Current List of Courses
Semester Titel Typ
Winter Semester 2024/25 Parallel Computing Lecture
Summer Semester 2024 Computational Fluid Dynamics and Simulation Lab Laboratory
Summer Semester 2023 Projektorientiertes Softwarepraktikum Laboratory
Summer Semester 2022 Seminar (Strömungsrechnung) Seminar
Projektorientiertes Softwarepraktikum Laboratory
Summer Semester 2021 Seminar (Strömungsrechnung, Master) Seminar
Projektorientiertes Softwarepraktikum Laboratory
Winter Semester 2020/21 Seminar (Strömungslehre, ab dem 5. Semester) Seminar
Summer Semester 2020 Seminar (Strömungsrechnung, Master) Seminar
Projektorientiertes Softwarepraktikum Laboratory

Theses (Open Topics)

Topic Type
Lattice Boltzmann methods and relaxation schemes for hyperbolic balance laws Bachelor's/Master's thesis (Mathematics, fluid dynamics)
Stability analysis of lattice Boltzmann methods for advection–diffusion equations Bachelor's/Master's thesis (Mathematics)
Stability analysis of lattice Boltzmann methods for turbulent flows Master's thesis (Mathematics, fluid dynamics, high performance computing)
Numerical analysis of relaxation schemes and lattice Boltzmann methods Master's thesis (Mathematics)
Advanced filtering operations for large eddy lattice Boltzmann methods Master's thesis (Mathematics, fluid dynamics)
Lattice Boltzmann methods for large scale computational flow sampling Master's thesis (Mathematics, fluid dynamics, high performance computing)

Publications

  1. M. Zhong, T. Xiao, M. J. Krause, M. Frank, S. Simonis. A stochastic Galerkin lattice Boltzmann method for incompressible fluid flows with uncertainties. Journal of Computational Physics 517:113344 (2024)
  2. S. Ito, J. Jeßberger, S. Simonis, F. Bukreev, A. Kummerländer, A. Zimmermann, G. Thäter, G. R. Pesch, J. Thöming, M. J. Krause. Identification of reaction rate parameters from uncertain spatially distributed concentration data using gradient-based PDE constrained optimization. Computers & Mathematics with Applications 167:249-263 (2024)
  3. S. Simonis, S. Mishra. Computing statistical Navier–Stokes solutions. In R. Abgrall, M. Garavello, M. Lukácová-Medvidová, and K. Trivisa, editors, Hyperbolic Balance Laws: Interplay between Scales and Randomness, Oberwolfach Rep. 10 (2024), EMS Press.
  4. S. Simonis. Lattice Boltzmann Methods for Partial Differential Equations. PhD thesis (2023), Karlsruhe Institute of Technology (KIT).
  5. F. Bukreev, S. Simonis, A. Kummerländer, J. Jeßberger, M. J. Krause. Consistent lattice Boltzmann methods for the volume averaged Navier–Stokes equations. Journal of Computational Physics 490:112301 (2023)
  6. S. Simonis, J. Nguyen, S. J. Avis, W. Dörfler, M. J. Krause. Binary fluid flow simulations with free energy lattice Boltzmann methods. Discrete and Continuous Dynamical Systems - S, in press (2023)
  7. S. Simonis, M. Frank, M. J. Krause. Constructing relaxation systems for lattice Boltzmann methods. Applied Mathematics Letters 137:108484 (2023)
  8. A. Mink, K. Schediwy, C. Posten, H. Nirschl, S. Simonis, M. J. Krause. Comprehensive Computational Model for Coupled Fluid Flow, Mass Transfer, and Light Supply in Tubular Photobioreactors Equipped with Glass Sponges. Energies 15(20):7671 (2022)
  9. S. Simonis, M. J. Krause. Forschungsnahe Lehre unter Pandemiebedingungen. Mitteilungen der Deutschen Mathematiker-Vereinigung 30(1):43-45 (2022)
  10. S. Simonis, D. Oberle, M. Gaedtke, P. Jenny, M. J. Krause. Temporal large eddy simulation with lattice Boltzmann methods. Journal of Computational Physics 454:110991 (2022)
  11. S. Simonis, M. Haussmann, L. Kronberg, W. Dörfler, M. J. Krause. Linear and brute force stability of orthogonal moment multiple-relaxation-time lattice Boltzmann methods applied to homogeneous isotropic turbulence. Philosophical Transactions of the Royal Society A 379:20200405 (2021)
  12. M. Haussmann, P. Reinshaus, S. Simonis, H. Nirschl, M. J. Krause. Fluid–Structure Interaction Simulation of a Coriolis Mass Flowmeter Using a Lattice Boltzmann Method. Fluids 6(4):167 (2021)
  13. D. Dapelo, S. Simonis, M. J. Krause, J. Bridgeman. Lattice-Boltzmann coupled models for advection–diffusion flow on a wide range of Péclet numbers. Journal of Computational Science 51:101363 (2021)
  14. M. Siodlaczek, M. Gaedtke, S. Simonis, M. Schweiker, N. Homma, M. J. Krause. Numerical evaluation of thermal comfort using a large eddy lattice Boltzmann method. Building and Environment 192:107618 (2021)
  15. M. J. Krause, A. Kummerländer, S. J. Avis, H. Kusumaatmaja, D. Dapelo, F. Klemens, M. Gaedtke, N. Hafen, A. Mink, R. Trunk, J. E. Marquardt, M.-L. Maier, M. Haussmann, S. Simonis. OpenLB — Open source lattice Boltzmann code. Computers & Mathematics with Applications 81:258-288 (2021)
  16. S. Simonis, M. Frank, M. J. Krause. On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection–diffusion equations. Philosophical Transactions of the Royal Society A 378:20190400 (2020)
  17. M. Haussmann, S. Simonis, H. Nirschl, M. J. Krause. Direct numerical simulation of decaying homogeneous isotropic turbulence — numerical experiments on stability, consistency and accuracy of distinct lattice Boltzmann methods. International Journal of Modern Physics C 30(09):1950074 (2019)

A more complete list can be found here.

(Conference) Talks

  1. S. Simonis, B. Dorschner, I. V. Karlin, M. J. Krause. Spectral effects of entropic multi-relaxation for lattice Boltzmann methods. 33rd International Conference on Discrete Simulation of Fluid Dynamics (DSFD 2024), Juli 9-12, 2024, ETH Zürich, Zurich, Switzerland
  2. S. Simonis, S. Mishra. Computing statistical Navier–Stokes solutions. Workshop 2409: Hyperbolic Balance Laws: Interplay between Scales and Randomness, February 25 - March 1, 2024, MFO, Oberwolfach, Germany
  3. S. Simonis, M. J. Krause. Explorative computing for stable and consistent kinetic relaxation in lattice Boltzmann methods. 10th International Congress on Industrial and Applied Mathematics (ICIAM), August 20-25, 2023, Waseda University, Tokyo, Japan
  4. S. Simonis. Turbulence models for lattice Boltzmann methods. June 5-9, 2023, University of Greenwich, London, UK
  5. S. Simonis. Relaxation systems and lattice Boltzmann methods. October 21, 2022, Centre de Mathématiques Appliquées (CMAP), École Polytechnique, Palaiseau, France
  6. S. Simonis, M. J. Krause. Brute force analysis of kinetic relaxation parameters for multiple-relaxation-time lattice Boltzmann methods. 31st International Conference on Discrete Simulation of Fluid Dynamics (DSFD 2022), August 22-26, 2022, Soochow University, Suzhou, China
  7. S. Simonis, M. Frank, M. J. Krause. Constructive relaxation formalism for lattice Boltzmann methods. 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2022), August 15-19, 2022, RWTH Aachen University, Aachen, Germany
  8. S. Simonis, M. J. Krause. Limit consistency of lattice Boltzmann equations. 18th International Conference for Mesoscopic Methods in Engineering and Science (ICMMES 2022), June 27 - July 1, 2022, La Rochelle University, La Rochelle, France
  9. S. Simonis. Analysis of lattice Boltzmann methods. June 6, 2022, AGH University of Science and Technology, Krakow, Poland
  10. S. Simonis. Turbulence models for lattice Boltzmann methods. June 7, 2022, AGH University of Science and Technology, Krakow, Poland
  11. S. Simonis. Temporal large eddy simulation with lattice Boltzmann methods. November 24, 2021, Groupe de travail \"Schémas de Boltzmann sur réseau\", Institut Henri Poincaré, Online
  12. S. Simonis, M. Frank, M. J. Krause. Discrete Velocity Boltzmann Models As Relaxation Systems for Scalar Advection–Diffusion Equations. 14th WCCM & ECCOMAS Congress 2020, Virtual Congress January 11-15, 2021
  13. M. J. Krause, A. Kummerländer, S. Simonis. Fluid Flow Simulation with Lattice Boltzmann Methods on High Performance Computers. December 1, 2020, Advanced Modeling & Simulation (AMS) Seminar Series, NASA Advanced Supercomputing Division, Online
  14. S. Simonis. Lattice Boltzmann methods for homogeneous isotropic turbulence. September 25, 2020, Institute of Fluid Dynamics, ETH Zürich, Switzerland
  15. S. Simonis, M. Frank, M. J. Krause. Perturbation formalism of relaxation systems and the link to discrete velocity Boltzmann models. 29th International Conference on Discrete Simulation of Fluid Dynamics (DSFD 2020), July 13-18, 2020, Online
  16. S. Simonis. Analysis of lattice Boltzmann methods. March 9, 2020, Technical University of Berlin (TU Berlin), Berlin, Germany
  17. S. Simonis. Introduction to lattice Boltzmann methods. December 10, 2019, Federal University of Rio Grande do Sul (UFRGS), Porto Alegre, Brazil
  18. S. Simonis, M. Haussmann, H. Nirschl, M. J. Krause. Direct numerical simulation of decaying homogeneous isotropic turbulence with lattice Boltzmann methods. August 1, 2019, Indian Institute of Technology (IIT) Dharwad, Karnataka, India
  19. M. Haussmann, S. Simonis, H. Nirschl, M. J. Krause. Direct numerical simulation of decaying homogeneous isotropic turbulence — numerical experiments on stability, consistency and accuracy of distinct lattice Boltzmann methods. 28th International Conference on Discrete Simulation of Fluid Dynamics (DSFD 2019), July 22-26, 2019, JNCASR Bangalore, India

Past and Upcoming Lectures and Courses

Semester Title Type
Summer Semester 2023 Project-centered Software Lab Laboratory
Proseminar (Applied Mathematics & Computer Simulation) Proseminar
Winter Semester 2022/23 Seminar (Computational Fluid Dynamics) Seminar
Summer Semester 2022 Project-centered Software Lab Laboratory
Seminar (Computational Fluid Dynamics) Seminar
Winter Semester 2021/22 Seminar (Fluid Dynamics) Seminar
Summer Semester 2021 Project-centered Software Lab Laboratory
Seminar (Computational Fluid Dynamics) Seminar
Winter Semester 2020/21 Seminar (Fluid Dynamics) Seminar
Summer Semester 2020 Project-centered Software Lab Laboratory
Seminar (Computational Fluid Dynamics) Seminar
Winter Semester 2019/20 Seminar (Fluid Dynamics) Seminar
Summer Semester 2019 Project-centered Software Lab Laboratory
Seminar (Fluid Dynamics) Seminar