Journal
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
Volume 38, Issue 2, Pages 433-441Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40430-015-0342-4
Keywords
Two-phase flow; Phase field model; Artificial compressibility; Dual-time stepping; Central compact scheme
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Funding
- Higher Education Commission (HEC) of Pakistan
- NSFC [11261160486, 11321061]
- 973 Project [2010CB731505]
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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.
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