Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

2019 ◽  
Vol 26 (4) ◽  
pp. 1071-1097
Author(s):  
Chenfei Zhang
Keyword(s):  
Equation Of State ◽  
Diffuse Interface ◽  
Interface Model ◽  
Diffuse Interface Model ◽  
Two Phase ◽  
Energy Stable Schemes ◽  
Energy Stable ◽  
Robinson Equation

A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

2017 ◽  
Vol 9 (5) ◽  
pp. 1162-1188 ◽  
Author(s):  
Qiujin Peng
Keyword(s):  
Equation Of State ◽  
Diffuse Interface ◽  
Pure Substance ◽  
Interface Model ◽  
Splitting Scheme ◽  
Diffuse Interface Model ◽  
Convex Splitting ◽  
Fourth Order Parabolic Equation ◽  
Robinson Equation ◽  
Good Agreement

AbstractWe present a convex-splitting scheme for the fourth order parabolic equation derived from a diffuse interface model with Peng-Robinson equation of state for pure substance. The semi-implicit scheme is proven to be uniquely solvable, mass conservative, unconditionally energy stable andL∞convergent with the order of. The numerical results verify the effectiveness of the proposed algorithm and also show good agreement of the numerical solution with laboratory experimental results.

Sign in / Sign up

Export Citation Format

Share Document