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http://dx.doi.org/10.25673/103443
Titel: | A new method to discretize a model for isothermal flow with a multi-component equation of state |
Autor(en): | Hantke, Maren Matern, Christoph ![]() Warnecke, Gerald Yaghi, Hazem |
Erscheinungsdatum: | 2023 |
Art: | Artikel |
Sprache: | Englisch |
Zusammenfassung: | 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 model was proposed to describe chemically reacting fluid mixtures consisting of constituents where phase transitions between a liquid and a vapor phase may occur. The phase field indicates the present phase or the transition layer. The discretization of the model with shock capturing methods for the hyperbolic sub-part is a challenge. One difficulty is that the equation of state has a steep gradient in the density. Moreover, numerical viscosity in diffusive interface computations leads to intermediate values that are unphysical. Our sub-model contains these problems in a nutshell. We develop a solution strategy and apply the new method to several test cases. |
URI: | https://opendata.uni-halle.de//handle/1981185920/105397 http://dx.doi.org/10.25673/103443 |
Open-Access: | ![]() |
Nutzungslizenz: | ![]() |
Journal Titel: | Journal of computational and applied mathematics |
Verlag: | North-Holland |
Verlagsort: | Amsterdam [u.a.] |
Band: | 422 |
Originalveröffentlichung: | 10.1016/j.cam.2022.114876 |
Enthalten in den Sammlungen: | Open Access Publikationen der MLU |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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1-s2.0-S0377042722004745-main.pdf | 911.21 kB | Adobe PDF | ![]() Öffnen/Anzeigen |