scholarly journals A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng--Robinson Equation of State

2020 ◽  
Vol 42 (1) ◽  
pp. B30-B56 ◽  
Author(s):  
Jisheng Kou ◽  
Shuyu Sun ◽  
Xiuhua Wang
Keyword(s):  
Equation Of State ◽  
Diffuse Interface ◽  
Interface Model ◽  
Diffuse Interface Model ◽  
Factorization Approach ◽  
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.

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