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    A fully explicit and unconditionally energy-stable scheme for Peng-Robinson VT flash calculation based on dynamic modeling

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    1-s2.0-S0021999122003370-main.pdf
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    2.351Mb
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    Description:
    Accepted Manuscript
    Embargo End Date:
    2024-05-10
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    Type
    Article
    Authors
    Feng, Xiaoyu cc
    Chen, Meng-Huo cc
    Wu, Yuanqing
    Sun, Shuyu cc
    KAUST Department
    Computational Transport Phenomena Laboratory (CTPL), Division of Physical Sciences and Engineering (PSE), King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    KAUST Grant Number
    BAS/1/1351-01
    URF/1/3769-01
    URF/1/4074-01
    Date
    2022-05-10
    Embargo End Date
    2024-05-10
    Permanent link to this record
    http://hdl.handle.net/10754/676738
    
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    Show full item record
    Abstract
    Since the Peng-Robinson (PR) equation of state (EoS) has proven itself to be one of the most reliable EoS, especially in the chemical and petroleum industries, the flash calculation based on the PR EoS is considered to be a foundation for describing complex compositional flows and for evaluating hydrocarbon reservoirs. Compared to the traditional Pressure-Temperature (PT) flash calculation, the novel Volume-Temperature (VT) flash calculation has become more appealing due to its advantages, such as less sensitivity to primary variables like pressure or volume. However, previous numerical schemes of the VT flash calculation involved many complicated nonlinear systems, which makes convergence hard to achieve. To treat this challenge, a fully explicit and unconditionally energy-stable scheme is proposed in this work. It is known that the dynamic model for VT flash calculation can preserve both the Onsager's reciprocal principle and the energy dissipation law. By combining the dynamic model and the linear semi-implicit scheme, the moles and volume can be updated, with the advantage that the energy-dissipation feature can be preserved at a discrete level unconditionally. Then, with the convex-concave splitting approach and the component-wise iteration framework, the scheme becomes fully explicit. The scheme shows promising potential not only because it inherits the original energy stability to ensure convergence, but it also reduces the implementation burden significantly in some engineering scenarios. A lot of numerical experiments are carried out. The numerical results show good agreement with benchmark data and the energy decaying trend at a very large time step demonstrates the stability and efficiency of the proposed scheme.
    Citation
    Feng, X., Chen, M.-H., Wu, Y., & Sun, S. (2022). A fully explicit and unconditionally energy-stable scheme for Peng-Robinson VT flash calculation based on dynamic modeling. Journal of Computational Physics, 111275. https://doi.org/10.1016/j.jcp.2022.111275
    Sponsors
    Partially supported by King Abdullah University of Science and Technology (KAUST) through the grants BAS/1/1351-01, URF/1/4074-01, and URF/1/3769-01. The authors also acknowledge support from the National Natural Science Foundation of China (No.51874262 and No.51936001), Peacock Plan Foundation of Shenzhen (No.000255), the General Program of Natural Science Foundation of Shenzhen (No.20200801100615003) and Ministry of Science and Technology, R.O.C. (No.108-2115-M-194-004-MY2).
    Publisher
    Elsevier BV
    Journal
    Journal of Computational Physics
    DOI
    10.1016/j.jcp.2022.111275
    Additional Links
    https://linkinghub.elsevier.com/retrieve/pii/S0021999122003370
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jcp.2022.111275
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

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