a Department of Engineering Mechanics, Chongqing University, Chongqing 400044, China;
b State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, China;
c Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan
Abstract In this paper, an improved incompressible multi-relaxation-time lattice Boltzmann-front tracking approach is proposed to simulate two-phase flow with sharp interface, where the surface tension is implemented. The lattice Boltzmann method is used to simulate the incompressible flow with a stationary Eulerian grid, an additional moving Lagrangian grid is adopted to track explicitly the motion of the interface, and an indicator function is introduced to update accurately the fluid properties. The interface is represented by using a four-order Lagrange polynomial through fitting a set of discrete marker points, and then the surface tension is directly computed by using the normal vector and curvature of the interface. Two benchmark problems, including the Laplace's law for a stationary bubble and the dispersion relation of the capillary wave between two fluids are conducted for validation. Excellent agreement is obtained between the numerical simulations and the theoretical results in the two cases.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10872222 and 50921063), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20110191110037), and the Fundamental Research Funds for the Central Universities, China (Grant Nos. CDJXS11240011 and CDJXS10241103).
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