InstituteThe team
Stein Stoter

Dr.ir. Stein Stoter

Dr.ir. Stein Stoter
Address
Appelstraße 9a
30167 Hannover
Building
Room
802
Dr.ir. Stein Stoter
Address
Appelstraße 9a
30167 Hannover
Building
Room
802
Forschungsprojekte

RESEARCH PROJECT

  • Variational multiscale based data driven modeling of subgrid scales for fluid mechanics applications
    In recent work, we have cast various non-standard finite element formulations for advection based PDEs in the variational multiscale framework. Examples are Nitsche’s formulation and discontinuous Galerkin methods. This formalism has revealed the implicit multiscale decomposition inherent to these methods. Now, we extend upon this formalism and aim to develop localization techniques for the remaining fine scale interaction. Even after localization, determining the true scale interaction remains computationally expensive. During an offline stage, we produce training data of precise scale interaction for ranges of element shapes and underlying advective fields. A trained machine learning algorithm is used during the online phase to approximate the interaction with the unresolved scales, i.e., the turbulent subgrid scales. Our goal is thus to develop a highly capable, data driven, turbulence modeling tool with a mathematically rigorously foundation.
    Leaders: Dominik Schillinger
    Team: Stein Stoter
    Year: 2020
    Sponsors: Deutsche Forschungsgemeinschaft (DFG) via the Emmy Noether Award SCH 1249/2-1
    Field of influence of the fine scales for a classical method (left) and a discontinuous Galerkin method (right). Field of influence of the fine scales for a classical method (left) and a discontinuous Galerkin method (right).
  • Teaching
    • SoSe: Model Order Reduction in Computational Solid Mechanics. Course description.
    • WiSe:  Stabilized Finite Element Methods for Computational Fluid Mechanics. Course description.
  • Honors and awards
    • 31st Robert J. Melosh medal winner, Duke University (2020)
  • Journal publications
    2020

    Under review: S.K.F. Stoter, M.F.P. ten Eikelder, F. de Prenter, I. Akkerman, E.H. van Brummelen, C.V. Verhoosel and D. Schillinger: “Unification of variational multiscale analysis and Nitsche’s method, and a resulting boundary layer fine-scale model”. Submitted to Computer Methods in Applied Mechanics and Engineering.

    Q. Zhu, S.K.F. Stoter, M. Heisel, C.E. French, M. Guala, L.E. Linderman and D. Schillinger: “Reducing wind-induced vibrations of road sign structures through aerodynamic modifications: a computational pilot study for a practical example”. Journal of Wind Engineering and Industrial Aerodynamics, 199:104132, 2020.

    2019

    Z. Han, S.K.F. Stoter, C.T. Wu, C. Cheng, A. Mantzaflaris, S. Mogilevskaya and D. Schillinger: “Consistent discretization of higher-order interface models for thin layers and elastic material surfaces, enabled by isogeometric cut-cell methods”. Computer Methods in Applied Mechanics and Engineering, 350:245-267, 2019.

    2018

    S.K.F. Stoter, S.R. Turteltaub, S.J. Hulshoff, and D. Schillinger: “Residual-based variational multiscale modeling in a discontinuous Galerkin framework”. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 88(5):217-238, 2018.

    S.K.F. Stoter, S.R. Turteltaub, S.J. Hulshoff, and D. Schillinger: “A discontinuous Galerkin residual-based variational multiscale method for modeling subgrid-scale behavior of the viscous Burgers equation”. International Journal for Numerical Methods in Fluids, 16(3):1333-1364, 2018.

    L.H. Nguyen, S.K.F. Stoter, M. Ruess, M.A. Sanchez Uribe, D. Schillinger: “The diffuse Nitsche method: Dirichlet constraints on phase-field boundaries”. International Journal for Numerical Methods in Engineering, 113(4):601-633, 2018.

    2017

    L.H. Nguyen, S.K.F. Stoter, T. Baum, J.S. Kirschke, M. Ruess, Z. Yosibash, D. Schillinger: “Phase-field boundary conditions for the voxel finite cell method: surface-free stress analysis of CT-based bone structures”. International Journal for Numerical Methods in Biomedical Engineering, doi:10.1002/cnm.2880, 2017.

    S.K.F. Stoter, P. Müller, L. Cicalese, M. Tuveri, D. Schillinger, T.J.R. Hughes: “A diffuse interface method for the Navier-Stokes/Darcy equations: Perfusion profile for a patient-specific human liver based on MRI scans”. Computer Methods in Applied Mechanics and Engineering, 321:70-102, 2017. 

    2016D. Schillinger, I. Harari, M.-C. Hsu, D. Kamensky, S.K.F. Stoter, Y. Yue, Y. Zhao: “The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements”. Computer Methods in Applied Mechanics and Engineering, 309:625-652, 2016.
  • Conference presentations
    • S.K.F. Stoter, A. Ebrahem, E. Jessen, V. Niedens, D. Schillinger: “Phase-field methods for modeling blood perfusion and tumor growth in the human liver”. GAMM Fachausschuss Computational Biomechanics, 2020, Bad Staffelstein, Germany.
    • S.K.F. Stoter, Z. Han, S.G. Mogilevskaya, D. Schillinger: “Isogeometric cut-cell methods for the discretization of higher-order imperfect interface models for thin layers and elastic material surfaces”. International Conference on Coupled Problems in Science and Engineering, 2019, Sitges, Spain.
    • S.K.F. Stoter, D. Schillinger: “Cut-cell stabilization based on a variational multiscale subgrid-scale model”. European Conference on Computational Mechanics/ European Conference on Computational Fluid Dynamics 2018, Glasgow, UK.
    • S.K.F. Stoter, S.J. Hulshoff, S. Turteltaub, D. Schillinger: “Residual-based variational multiscale modeling of turbulence in an embedded domain DG framework”. Extended Discretization Methods 2017, Umeå, Sweden.
  • Academic positions and education

    2019

    Doctor of Philosophy in Civil Engineering
    University of Minnesota, USA
    Adviser: Prof. Dominik Schillinger
    Dissertation: pdf

    Jan. 2019 -
    Current 

    Wissenschaftlicher Mitarbeiter at IBNM
    Leibniz Universität Hannover, Germany
    Adviser: Prof. Dominik Schillinger

    Apr. 2018 -
    Jun. 2018 

    Visiting doctoral student at ETFD
    Eindhoven University of Technology, The Netherlands
    Contact person: Prof. E. Harald van Brummelen

    2016-2018 

    Research assistant in Civil Engineering
    University of Minnesota, USA
    Adviser: Prof. Dominik Schillinger

    2018

    Master of Science in Mathematics
    University of Minnesota, USA
    Adviser: Prof. Bernardo Cockburn

    2017

    Master of Science in Aerospace Structures and Materials
    Delft University of Technology, The Netherlands
    Adviser: Dr. Sergio R. Turteltaub

    Okt. 2015 -
    April 2016 

    Visiting graduate student in Civil Engineering
    University of Minnesota, USA
    Contact person: Prof. Dominik Schillinger

    2014 

    Bachelor in Aerospace Engineering
    Delft University of Technology, The Netherlands

    2014

    Minor in Applied Physics

    Delft University of Technology, The Netherlands