Please use this identifier to cite or link to this item:
http://dx.doi.org/10.25673/103443
Title: | A new method to discretize a model for isothermal flow with a multi-component equation of state |
Author(s): | Hantke, Maren Matern, Christoph Warnecke, Gerald Yaghi, Hazem |
Issue Date: | 2023 |
Type: | Article |
Language: | English |
Abstract: | 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: | Open access publication |
License: | (CC BY 4.0) Creative Commons Attribution 4.0 |
Journal Title: | Journal of computational and applied mathematics |
Publisher: | North-Holland |
Publisher Place: | Amsterdam [u.a.] |
Volume: | 422 |
Original Publication: | 10.1016/j.cam.2022.114876 |
Appears in Collections: | Open Access Publikationen der MLU |
Files in This Item:
File | Description | Size | Format | |
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1-s2.0-S0377042722004745-main.pdf | 911.21 kB | Adobe PDF | View/Open |