Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State

Authors

  • Qiujin Peng Institute for Mathematical Sciences, Renmin University of China, Beijing 100872, China
  • 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

DOI:

https://doi.org/10.4208/jcm.1611-m2016-0623

Keywords:

Diffuse interface model, Fourth order parabolic equation, Energy stability, Convergence.

Abstract

In this paper, we present two second-order numerical schemes to solve the fourth order parabolic equation derived from a diffuse interface model with Peng-Robinson Equation of state (EOS) for pure substance. The mass conservation, energy decay property, unique solvability and $L^∞$ convergence of these two schemes are proved. Numerical results demonstrate the good approximation of the fourth order equation and confirm reliability of these two schemes.

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Published

2021-07-01

Issue

Vol. 35 No. 6 (2017)

Section

Articles