TY - JOUR
T1 - A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and Its Scalar Auxiliary Variable (SAV) Approach
AU - Qiao , Zhonghua
AU - Sun , Shuyu
AU - Zhang , Tao
AU - Zhang , Yuze
JO - Communications in Computational Physics
VL - 5
SP - 1597
EP - 1616
PY - 2019
DA - 2019/08
SN - 26
DO - http://doi.org/ 10.4208/cicp.2019.js60.06
UR - https://global-sci.org/intro/article_detail/cicp/13277.html
KW - Peng-Robinson equation of state, multi-component diffuse interface model, scalar
auxiliary variable approach, energy stable scheme.
AB - <p style="text-align: justify;">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.</p>