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    Linearly decoupled energy-stable numerical methods for multi-component two-phase compressible flow

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    1712.02222v1.pdf
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    Description:
    Preprint
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    Type
    Preprint
    Authors
    Kou, Jisheng cc
    Sun, Shuyu cc
    Wang, Xiuhua
    KAUST Department
    Computational Transport Phenomena Lab
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2017-12-06
    Permanent link to this record
    http://hdl.handle.net/10754/626511
    
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    Abstract
    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
    arXiv
    arXiv
    1712.02222
    Additional Links
    http://arxiv.org/abs/1712.02222v1
    http://arxiv.org/pdf/1712.02222v1
    Collections
    Preprints; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

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