A central compact scheme for numerical solution of two-phase incompressible flow using Allen–Cahn phase field model

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• 作者：Muhammad Rizwan ; Abdullah Shah ; Li Yuan
• 关键词：Two ; phase flow ; Phase field model ; Artificial compressibility ; Dual ; time stepping ; Central compact scheme
• 刊名：Journal of the Brazilian Society of Mechanical Sciences and Engineering
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：38
• 期：2
• 页码：433-441
• 全文大小：1,119 KB
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• 作者单位：Muhammad Rizwan (1) (2)
  Abdullah Shah (1)
  Li Yuan (2)
  
  1. Department of Mathematics, COMSATS Institute of Information Technology, Park Road Chak Shahzad, Islamabad, Pakistan
  2. Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
  
• 刊物主题：Mechanical Engineering;
• 出版者：Springer Berlin Heidelberg
• ISSN：1806-3691

文摘

This article presents a numerical method for the Allen–Cahn phase field model coupled with the incompressible Navier–Stokes equations for simulating two-phase incompressible flow. The numerical method is based on the artificial compressibility method with dual-time stepping technique applied to the governing equations written in conservative form. The convective terms are approximated by using an eighth-order central compact scheme with filtering while the viscous terms are approximated by a sixth-order central compact scheme. Approximate factorization-based alternating direction implicit algorithm is used to solve the discretized linear system. The effectiveness of the method is demonstrated by computing several benchmark two-phase incompressible flow problems.