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pro vyhledávání: '"Maren Hantke"'
On the Impossibility of First-Order Phase Transitions in Systems Modeled by the Full Euler Equations
Autor:
Maren Hantke, Ferdinand Thein
Publikováno v:
Entropy, Vol 21, Iss 11, p 1039 (2019)
Liquid−vapor flows exhibiting phase transition, including phase creation in single-phase flows, are of high interest in mathematics, as well as in the engineering sciences. In two preceding articles the authors showed on the one hand the capability
Externí odkaz:
https://doaj.org/article/e1792cfcb0314949b3a3f70a0b0ca9a9
In this paper we will discuss numerical problems in a phase function model with a multi-component equation of state. It is a sub-model of a diffuse interface model, using a phase field equation, that was introduced by Dreyer et al. in 2014. This mode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5c33fd19f2ea70a30a656c3e9825b10
Autor:
Martin Arnold, Maren Hantke, Raphael Kruse, Helmut Podhaisky, Elena Celledoni, Jason Frank, Jens Lang
Publikováno v:
Journal of Computational and Applied Mathematics. 430:115233
Publikováno v:
Quarterly of Applied Mathematics. 78:431-467
We consider Riemann problems for a two-phase isothermal flow model of a dispersed phase in a compressible carrier phase. It is a weakly hyperbolic system of conservative partial differential equations. This model is the conservation part of a more co
Autor:
Maren Hantke, Siegfried Müller
Publikováno v:
Quarterly of Applied Mathematics. 76:253-287
A class-II-model for multi-component mixtures recently introduced in D. Bothe and W. Dreyer, Continuum thermodynamics of chemically reacting fluid mixtures, Acta Mech., 226 (2015), 1757–1805, is investigated for simple mixtures. Bothe and Dreyer we
Publikováno v:
Journal of Computational Physics. 338:217-239
We consider a thermodynamic consistent multi-component model in multi-dimensions that is a generalization of the classical two-phase flow model of Baer and Nunziato. The exchange of mass, momentum and energy between the phases is described by additio
Autor:
Maren Hantke, Ferdinand Thein
Publikováno v:
Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy ISBN: 9783030388690
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 inte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3b4af862b6cb527e7399f4b0339bfb8
https://doi.org/10.1007/978-3-030-38870-6_23
https://doi.org/10.1007/978-3-030-38870-6_23
Publikováno v:
Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy ISBN: 9783030388690
We consider Riemann problems for a two-phase isothermal flow model of a dispersed phase in a compressible carrier phase. It is a weakly hyperbolic system of conservative partial differential equations. This model is the conservation part of a more co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::511842a6fb2b73a5cddd9ef1bdc7d73b
https://doi.org/10.1007/978-3-030-38870-6_22
https://doi.org/10.1007/978-3-030-38870-6_22
On the Impossibility of First-Order Phase Transitions in Systems Modeled by the Full Euler Equations
Autor:
Ferdinand Thein, Maren Hantke
Publikováno v:
Entropy
Volume 21
Issue 11
Entropy, Vol 21, Iss 11, p 1039 (2019)
Volume 21
Issue 11
Entropy, Vol 21, Iss 11, p 1039 (2019)
Liquid&ndash
vapor flows exhibiting phase transition, including phase creation in single-phase flows, are of high interest in mathematics, as well as in the engineering sciences. In two preceding articles the authors showed on the one hand the c
vapor flows exhibiting phase transition, including phase creation in single-phase flows, are of high interest in mathematics, as well as in the engineering sciences. In two preceding articles the authors showed on the one hand the c
Autor:
Ferdinand Thein, Maren Hantke
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 47:779-786
Riemann problems for the full set of Euler equations for two phases with phase transition are considered. Based on the assumptions across the phase boundary kinetic relations to describe the mass transfer between the phase are derived from the second