A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and Its Scalar Auxiliary Variable (SAV) Approach

Authors

  • Zhonghua Qiao Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
  • Shuyu Sun Physical Science and Engineering Division, King Abdullah University of Science and Technology, Thuwal 23955, KSA
  • Tao Zhang Computational Transport Phenomena Laboratory (CTPL), Division of Physical Sciences and Engineering (PSE), King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabia.
  • Yuze Zhang Department of Applied Mathematics, The Hongkong Polytechnic University, China

DOI:

https://doi.org/10.4208/cicp.2019.js60.06

Keywords:

Peng-Robinson equation of state, multi-component diffuse interface model, scalar auxiliary variable approach, energy stable scheme.

Abstract

A new multi-component diffuse interface model with the Peng-Robinson equation of state is developed. Initial values of mixtures are given through the NVT flash calculation. This model is physically consistent with constant diffusion parameters, which allows us to use fast solvers in the numerical simulation. In this paper, we employ the scalar auxiliary variable (SAV) approach to design numerical schemes. It reformulates the proposed model into a decoupled linear system with constant coefficients that can be solved fast by using fast Fourier transform. Energy stability is obtained in the sense that the modified discrete energy is non-increasing in time. The calculated interface tension agrees well with laboratory experimental data.

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Published

2019-08-27

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Issue

Vol. 26 No. 5 (2019)

Section

Articles

How to Cite

A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and Its Scalar Auxiliary Variable (SAV) Approach. (2019). Communications in Computational Physics, 26(5), 1597-1616. https://doi.org/10.4208/cicp.2019.js60.06