Linearly decoupled energy-stable numerical methods for multi-component two-phase compressible flow
Type
PreprintAuthors
Kou, Jisheng
Sun, Shuyu

Wang, Xiuhua
KAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2017-12-06Permanent link to this record
http://hdl.handle.net/10754/626511
Metadata
Show full item recordAbstract
In this paper, for the first time we propose two linear, decoupled, energy-stable numerical schemes for multi-component 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 a consistency relationship with the mass balance equations. Moreover, we propose a component-wise SAV approach for a multi-component fluid, which requires solving a sequence of linear, separate mass balance equations. We prove that the methods have the unconditional energy-dissipation feature. Numerical results are presented to verify the effectiveness of the proposed methods.Publisher
arXivarXiv
1712.02222Additional Links
http://arxiv.org/abs/1712.02222v1http://arxiv.org/pdf/1712.02222v1