STABILITY AND CONVERGENCE ANALYSIS OF SECOND-ORDER SCHEMES FOR A DIFFUSE INTERFACE MODEL WITH PENG-ROBINSON EQUATION OF STATE

• 来源期刊: 计算数学（英文版）
• 关键词: Diffuse interface model Fourth order parabolic equation Energy stability Convergence
• 年，卷（期）: 2017,（6）
• 页码范围: 737-765
• 页数: 29页
• 语种: 英文
• DOI: 10.4208/jcm.1611-m2016-0623

摘要

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.