• FMA
• Institutes
• IAN
• Numerical Mathematics
• Ferdinand Thein

• Publications
• Teaching
• Conferences
• Hyp Balance Laws and Beyond
• ProHyp Workshop

Research Interests

• Analysis and Numerics of Partial Differential Equations
• Systems of Conservation Laws, especially the Euler Equations
• Liquid-Vapor Phase Transitions

Recent Publications / Preprints

• Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows
  Thein, Ferdinand, Romenski, Evegeniy, Dumbser, Michael
  In: ArXiv e-prints, 2022 url, bibtex
  @ARTICLE{Thein2022,
    title = {Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows},
    author = {Thein, Ferdinand and Romenski, Evegeniy and Dumbser, Michael},
    journal = {ArXiv e-prints},
    year = {2022},
    archiveprefix = {arXiv},
    url = {https://arxiv.org/abs/2203.12422},
    doi = {10.48550/ARXIV.2203.12422}
  }
• On the invariant region for compressible Euler equations with a general equation of state
  Hailiang Liu, Ferdinand Thein
  In: Communications on Pure & Applied Analysis, 2021, 0 (1534-0392_2021084), url, bibtex
  @ARTICLE{Liu2021,
    title = {On the invariant region for compressible Euler equations with a general equation of state},
    journal = {Communications on Pure & Applied Analysis},
    volume = {0},
    number = {1534-0392_2021084},
    pages = {},
    year = {2021},
    note = {},
    issn = {1534-0392},
    doi = {10.3934/cpaa.2021084},
    url = {http://aimsciences.org//article/id/6e970dd5-e8e4-4508-80fc-6d7a7dbae298},
    author = {Hailiang Liu and Ferdinand Thein},
    keywords = {Euler equations","entropy","invariant region","equation of state","fundamental derivative},
    abstract = {

  The state space for solutions of the compressible Euler equations with a general equation of state is examined. An arbitrary equation of state is allowed, subject only to the physical requirements of thermodynamics. An invariant region of the resulting Euler system is identified and the convexity property of this region is justified by using only very minimal thermodynamical assumptions. Finally, we show how an invariant-region-preserving (IRP) limiter can be constructed for use in high order finite-volume type schemes to solve the compressible Euler equations with a general constitutive relation.

  }
  }
• A Numerical Method for Two Phase Flows with Phase Transition Including Phase Creation
  Hantke, Maren, Thein, Ferdinand
  inbook url, bibtex
  @INBOOK{Hantke2020,
    pages = {177--183},
    title = {A Numerical Method for Two Phase Flows with Phase Transition Including Phase Creation},
    publisher = {Springer International Publishing},
    year = {2020},
    editor = {Demidenko, Gennadii V. and Romenski, Evgeniy and Toro, Eleuterio and Dumbser, Michael},
    author = {Hantke, Maren and Thein, Ferdinand},
    address = {Cham},
    abstract = {Two phase flows including phase transition, especially phase creation, with a sharp interface remain a challenging task for numerics. We consider the isothermal Euler equations with phase transition between a liquid and a vapour phase. The phase interface is modelled as a sharp interface, and the mass transfer across the phase boundary is modelled by a kinetic relation [6]. Existence and uniqueness results were proven in [2, 6]. We present a method to obtain the numerical solution for associated Riemann problems. In particular, we show how the cases of nucleation and cavitation may be treated. We will highlight the major difficulties and propose possible strategies to overcome these problems.},
    booktitle = {Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov},
    doi = {10.1007/978-3-030-38870-6_23},
    isbn = {978-3-030-38870-6},
    url = {https://doi.org/10.1007/978-3-030-38870-6_23}
  }

Current Teaching

• None

Short CV