Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow
Type
ArticleAuthors
Kou, JishengSun, Shuyu

Wang, Xiuhua
KAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant Number
BAS/1/1351-01URF/1/2993-01
REP/1/2879-01
Date
2018-11-15Online Publication Date
2018-11-15Print Publication Date
2018-01Permanent link to this record
http://hdl.handle.net/10754/629934
Metadata
Show full item recordAbstract
In this paper, for the first time we propose two linear, decoupled, energy-stable numerical schemes for multicomponent two-phase compressible flow with a realistic equation of state (e.g., Peng--Robinson equation of state). The methods are constructed based on the scalar auxiliary variable (SAV) approaches for Helmholtz free energy and the intermediate velocities that are designed to decouple the tight relationship between velocity and molar densities. The intermediate velocities are also involved in the discrete momentum equation to ensure consistency with the mass balance equations. Moreover, we propose a componentwise SAV approach for a multicomponent fluid, which requires solving a sequence of linear, separate mass balance equations. The fully discrete schemes are also constructed based on the finite difference/volume methods with the upwind scheme on staggered grids. We prove that the semidiscrete and fully discrete schemes preserve the unconditional energy-dissipation feature. Numerical results are presented to verify the effectiveness of the proposed methods.Citation
Kou J, Sun S, Wang X (2018) Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow. SIAM Journal on Numerical Analysis 56: 3219–3248. Available: http://dx.doi.org/10.1137/17m1162287.Sponsors
This work was supported by funding from King Abdullah University of Science and Technology (KAUST) through grants BAS/1/1351-01, URF/1/2993-01, and REP/1/2879-01.Additional Links
https://epubs.siam.org/doi/10.1137/17M1162287ae974a485f413a2113503eed53cd6c53
10.1137/17m1162287