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Ostrowski, Lukas

Lukas Ostrowski

M. Sc.

Research assistant
Institute of Applied Analysis and Numerical Simulation
Chair of Applied Mathematics

Contact

+49 711 685 65540
Email

Pfaffenwaldring 57
70569 Stuttgart
Deutschland
Room: 7.164

Publications

2022
1. F. Massa, L. Ostrowski, F. Bassi, and C. Rohde, “An artificial Equation of State based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier–Stokes equations,” J. Comput. Phys., p. 110705, 2022, doi: https://doi.org/10.1016/j.jcp.2021.110705.
  - BibTeX
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  BibTeX
  @article{MassaOstrowskiBassiRohde21, abstract = {In this work we present a novel exact Riemann solver for an artificial Equation of State (EoS) based modification of the incompressible Euler equations. Differently from the well known artificial compressibility method, this new approach overcomes the lack of the pressure-velocity coupling by using a suitably designed artificial EoS. The modified set of equations fits into the framework of first order hyperbolic conservation laws. Accordingly, an exact Riemann solver is derived. This new solver has the advantage to avoid a wave pattern violation issue which can affect the exact Riemann problem solution obtained by the standard artificial compressibility approach. The new artificial EoS based Riemann solver can be used as a tool for the definition of the advective Godunov fluxes in a Finite Volume or a discontinuous Galerkin discretization of the incompressible Navier–Stokes (INS) equations. We assess and analyse the new exact Riemann solver on 1D Riemann problems. Its capability and effectiveness are then shown in the context of a high-order accurate discontinuous Galerkin discretization of the INS equations. In particular, we verify the convergence properties, both in space and time, considering two test cases in 2D, namely, the Kovasznay test case and a damped travelling waves test case. Finally, we perform an implicit large eddy simulation of the incompressible turbulent flow over periodic hills where the classic forcing term formulation is modified to deal with variable time steps. Solution comparisons with respect to numerical and experimental results from the literature are given.}, author = {Massa, F. and Ostrowski, L. and Bassi, F. and Rohde, C.}, doi = {https://doi.org/10.1016/j.jcp.2021.110705}, issn = {0021-9991}, journal = {J. Comput. Phys.}, pages = 110705, title = {An artificial Equation of State based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier–Stokes equations}, url = {https://www.sciencedirect.com/science/article/pii/S0021999121006008}, year = 2022 }
  Link
  https://www.sciencedirect.com/science/article/pii/S0021999121006008
2020
1. L. Ostrowski and C. Rohde, “Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion,” Math. Meth. Appl. Sci., vol. 43, Art. no. 7, 2020, doi: 10.1002/mma.6185.
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  BibTeX
  @article{OstrowskiRohde2020, abstract = {We introduce a Darcy‐scale model to describe compressible multicomponent flow in a fully saturated porous medium. In order to capture cross‐diffusive effects between the different species correctly, we make use of the Maxwell–Stefan theory in a thermodynamically consistent way. For inviscid flow, the model turns out to be a nonlinear system of hyperbolic balance laws. We show that the dissipative structure of the Maxwell‐Stefan operator permits to guarantee the existence of global classical solutions for initial data close to equilibria. Furthermore, it is proven by relative entropy techniques that solutions of the Darcy‐scale model tend in a certain long‐time regime to solutions of a parabolic limit system.}, author = {Ostrowski, Lukas and Rohde, Christian}, doi = {10.1002/mma.6185}, journal = {Math. Meth. Appl. Sci. }, number = 7, pages = {4200-4221}, title = {Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.6185}, volume = 43, year = 2020 }
  Link
  https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.6185
2. L. Ostrowski and C. Rohde, “Phase field modelling for compressible droplet impingement,” in Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Seventeenth International Conference on Hyperbolic Problems 2018, A. Bressan, M. Lewicka, D. Wang, and Y. Zheng, Eds., AIMS Series on Applied Mathematics, 2020, pp. 586–593. [Online]. Available: https://www.aimsciences.org/fileAIMS/cms/news/info/upload//c0904f1f-97d5-451f-b068-25f1612b6852.pdf
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  BibTeX
  @inproceedings{ostrowski2020phase, abstract = {We consider the impingement of a droplet onto a wall with high im-pact speed. For this purpose an isothermal Navier–Stokes–Allen–Cahn model[5] is used. Properties of the model are discussed. In order to solve the systemnumerically we introduce an energy consistent discontinuous Galerkin schemeand show a numerical example of droplet impact.}, author = {Ostrowski, Lukas and Rohde, Christian}, booktitle = {Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Seventeenth International Conference on Hyperbolic Problems 2018}, editor = {Bressan, Alberto and Lewicka, Marta and Wang, Dehua and Zheng, Yuxi}, pages = {586-593}, publisher = {AIMS Series on Applied Mathematics}, title = {Phase field modelling for compressible droplet impingement }, url = {https://www.aimsciences.org/fileAIMS/cms/news/info/upload//c0904f1f-97d5-451f-b068-25f1612b6852.pdf}, volume = 10, year = 2020 }
  Link
  https://www.aimsciences.org/fileAIMS/cms/news/info/upload//c0904f1f-97d5-451f-b068-25f1612b6852.pdf
3. L. Ostrowski, F. C. Massa, and C. Rohde, “A phase field approach to compressible droplet impingement,” in Droplet Interactions and Spray Processes, G. Lamanna, S. Tonini, G. E. Cossali, and B. Weigand, Eds., Cham: Springer International Publishing, 2020, pp. 113–126. [Online]. Available: https://doi.org/10.1007/978-3-030-33338-6_9
  - BibTeX
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  BibTeX
  @inproceedings{10.1007/978-3-030-33338-6_9, abstract = {We consider the impingement of a droplet onto a wall with high impact speed. To model this process we favour a diffuse-interface concept. Precisely, we suggest a compressible Navier--Stokes--Allen--Cahn model following [5]. Basic properties of the model are discussed. To cope with the fluid-wall interaction, we derive thermodynamically consistent boundary conditions that account for dynamic contact angles. We briefly discuss a discontinuous Galerkin scheme which approximates the energy dissipation of the system exactly and illustrate the results with a series of numerical simulations. Currently, these simulations are restricted to static contact angle boundary conditions.}, address = {Cham}, author = {Ostrowski, Lukas and Massa, F. C. and Rohde, Christian}, booktitle = {Droplet Interactions and Spray Processes}, editor = {Lamanna, G. and Tonini, S. and Cossali, G. E. and Weigand, B.}, isbn = {978-3-030-33338-6}, pages = {113-126}, publisher = {Springer International Publishing}, title = {A phase field approach to compressible droplet impingement}, url = {https://doi.org/10.1007/978-3-030-33338-6_9}, year = 2020 }
  Link
  https://doi.org/10.1007/978-3-030-33338-6_9
2019
1. L. Ostrowski and F. Massa, “An incompressible-compressible approach for droplet impact,” in Proceedings of the DIPSI Workshop 2019: Droplet ImpactPhenomena & Spray Investigations, Bergamo, Italy, 17th May 2019, G. Cossali and S. Tonini, Eds., Università degli studi di Bergamo, 2019, pp. 18–21. doi: 10.6092/DIPSI2019_pp18-21.
  - BibTeX
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  BibTeX
  @inproceedings{ostrowski2019incompressiblecompressible, author = {Ostrowski, Lukas and Massa, Francescocarlo}, booktitle = {Proceedings of the DIPSI Workshop 2019: Droplet ImpactPhenomena \& Spray Investigations, Bergamo, Italy, 17th May 2019}, doi = {10.6092/DIPSI2019_pp18-21}, editor = {Cossali, Gianpietro and Tonini, Simona}, organization = {Università degli studi di Bergamo}, pages = {18-21}, title = {An incompressible-compressible approach for droplet impact}, url = {http://hdl.handle.net/10446/147386}, year = 2019 }
  Link
  http://hdl.handle.net/10446/147386
2016
1. L. Ostrowski, B. Ziegler, and G. Rauhut, “Tensor decomposition in potential energy surface representations,” The Journal of Chemical Physics, vol. 145, Art. no. 10, 2016, doi: 10.1063/1.4962368.
  - BibTeX
  - Link
  BibTeX
  @article{ostrowski2016tensor, author = {Ostrowski, Lukas and Ziegler, Benjamin and Rauhut, Guntram}, doi = {10.1063/1.4962368}, eprint = {http://dx.doi.org/10.1063/1.4962368}, journal = {The Journal of Chemical Physics}, number = 10, owner = {seusdd}, pages = 104103, title = {Tensor decomposition in potential energy surface representations}, url = {/brokenurl# http://dx.doi.org/10.1063/1.4962368 }, volume = 145, year = 2016 }
  Link
  /brokenurl# http://dx.doi.org/10.1063/1.4962368
2013
1. L. Ostrowski, “LQR control for Parametric Systems with Reduced Basis Controllers.” 2013.
  - BibTeX
  BibTeX
  @misc{ostrowski2013control, author = {Ostrowski, L.}, note = {Bachelor's thesis, University of Stuttgart}, owner = {maieril}, title = {LQR control for Parametric Systems with Reduced Basis Controllers}, year = 2013 }

Teaching

Sommersemester 2016: Höhere Mathematik 2

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Lukas Ostrowski

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2020

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2019

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Lukas Ostrowski

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Publications

2022

BibTeX

Link

2020

BibTeX

Link

BibTeX

Link

BibTeX

Link

2019

BibTeX

Link

2016

BibTeX

Link

2013

BibTeX

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