InstituteThe team
Marco ten Eikelder

Dr.ir. Marco Frederik Petrus ten Eikelder

Dr.ir. Marco Frederik Petrus ten Eikelder
Dr.ir. Marco Frederik Petrus ten Eikelder
Forschungsprojekte
  • Research project

    A unified modeling paradigm for turbulence, shock waves and boundary layers in computational compressible aerodynamics

    Highly accurate computer simulations of compressible flows require methods for the reliable modeling of turbulence, shock waves and boundary layers. Existing modeling approaches achieve good results when simulating every single phenomenon on its own, but they interact with each other in an undesirable manner when turbulence, shock waves and boundary layers occur together. For example, numerical methods based on artificial viscosity for treating shock waves often influence the turbulence model in such a way that the simulation result becomes unphysical. The proposed project is based on the hypothesis that an integrated approach that considers the modeling of all three phenomena together can significantly improve the simulation accuracy of turbulent compressible flows. In the context of the finite element method the variational multiscale method (VMS) constitutes a promising tool for the simulation of turbulent compressible flows, in which practical mesh widths cannot resolve sharp interior and boundary layers as well as tiny turbulent eddies. The aim of the proposed project is to develop a unified VMS-based modeling approach for turbulence, shock waves and boundary layers that is based on the underlying entropy structure of the physical model and avoids any ad hoc mechanisms. The unified modeling approach to be developed will be integrated into modern discretization techniques based on higher-order isogeometric nite element methods. Its performance in terms of accuracy and robustness and its potential for use in industrial applications will be investigated and demonstrated using challenging aerodynamic simulation problems from aircraft and turbine design.

    Team: Dr.ir. Marco F.P. ten Eikelder, Prof. Dr.-Ing. Dominik Schillinger, Dr.ir. Stein Stoter

  • Journal publications

    9

    M.F.P. ten Eikelder, I. Akkerman,  A novel diffuse-interface model and a fully-discrete maximum-principle-preserving energy-stable method for two-phase flow with surface tension and non-matching densities, Computer Methods Applied Mechanics Engineering 379: article 113751
    8 S.K.F. Stoter, M.F.P. ten Eikelder, F. de Prenter, I. Akkerman, E.H. van Brummelen, C.V.
    Verhoosel, D. Schillinger, Nitsche’s method as a variational multiscale formulation and a resulting boundary layer fine-scale model, Computer Methods Applied Mechanics Engineering 382: article 113878
    7 I. Akkerman, J.H.A. Meijer, M.F.P. ten Eikelder, Isogeometric analysis of linear free-surface
    potential flow
    , Ocean Engineering 201: article 107114
    6 M.F.P. ten Eikelder, Y. Bazilevs, I. Akkerman, A theoretical framework for discontinuity capturing: Joining variational multiscale analysis and variation entropy theory, Computer Methods Applied Mechanics Engineering 359: article 112664
    5

    M.F.P. ten Eikelder, I. Akkerman, Variation entropy: a continuous local generalization of the
    TVD property using entropy principles
    , Computer Methods Applied Mechanics Engineering 355:
    261-283, 2019

    4 I. Akkerman, M.F.P. ten Eikelder, Toward free-surface flow simulations with correct energy evolution: an isogeometric level-set approach with monolithic time-integration, Computers and Fluids 181: 77-89, 2019
    3 M.F.P. ten Eikelder, I. Akkerman, Correct energy evolution of stabilized formulations: The relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric
    analysis. II: The incompressible Navier-Stokes equations
    , Computer Methods Applied Mechanics Engineering 340: 1135-1159, 2018
    2 M.F.P. ten Eikelder, I. Akkerman, Correct energy evolution of stabilized formulations: The
    relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric
    analysis. I: The convective-diffusive context
    , Computer Methods Applied Mechanics Engineering 331: 259-280, 2018
    1 M.F.P. ten Eikelder, F. Daude, B. Koren, A.S. Tijsseling, An acoustic-convective splitting-based
    approach for the Kapila two-phase flow model
    , Journal of Computational Physics 331: 188-208, 2017.
  • Academic positions and education
    February 2021 - PresentWissenschaftlicher Mitarbeiter at IBNM Leibniz Universität Hannover, Germany
    September 2020 - January 2021Postdoctoral research at 3ME Delft University of Technology, The Netherlands
    June 2016 - May 2020PhD candidate at 3ME Delft University of Technology, The Netherlands
    October 2015 - April 2016Researcher at Applied Physics Eindhoven University of Technology, The Netherlands
    March 2015 - September 2015Industrial Internship MSc. thesis project Électricité de France (eDF), Paris, France
    August 2014 - October 2014Research Internship Indian Institute of Technology, Kanpur, India
    2013-2015Master of Science in Industrial and Applied Mathematics Eindhoven University of Technology, The Netherlands
    2010-2013Bachelor of Science in Industrial and Applied Mathematics Eindhoven University of Technology, The Netherlands
  • Teaching
    SoSe 2021Isogeometric Analsis
  • Awards
    Alexander von HumboldtResearch grant
    DFG Walter Benjamin programmeResearch grant