We developed a three-dimensional multi-relaxation-time lattice Boltzmann method for incompressible and immiscible two-phase flow by coupling with a front-tracking technique. The flow field was simulated by using an Eu...We developed a three-dimensional multi-relaxation-time lattice Boltzmann method for incompressible and immiscible two-phase flow by coupling with a front-tracking technique. The flow field was simulated by using an Eulerian grid, an adaptive unstructured triangular Lagrangian grid was applied to track explicitly the motion of the two-fluid interface, and an indicator function was introduced to update accurately the fluid properties. The surface tension was computed directly on a triangular Lagrangian grid, and then the surface tension was distributed to the background Eulerian grid. Three benchmarks of two-phase flow, including the Laplace law for a stationary drop, the oscillation of a three-dimensional ellipsoidal drop, and the drop deformation in a shear flow, were simulated to validate the present model.展开更多
In this paper, an improved incompressible multi-relaxation-time lattice Boltzmann-front tracking approach is proposed to simulate two-phase flow with a sharp interface, where the surface tension is implemented. The la...In this paper, an improved incompressible multi-relaxation-time lattice Boltzmann-front tracking approach is proposed to simulate two-phase flow with a 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 the fluid properties accurately. 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 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.展开更多
A numerical study on the interaction of two spherical drops in the thermocapillary migration is presented in the microgravity environment. Finite-difference methods are adopted. The interfaces of the drops are capture...A numerical study on the interaction of two spherical drops in the thermocapillary migration is presented in the microgravity environment. Finite-difference methods are adopted. The interfaces of the drops are captured by the front-tracking technique. It is found that the arrangement of the drops directly influences their migration and interaction, and the motion of one drop is mainly determined by the disturbed temperature field because of the existence of the other drop.展开更多
界面追踪方法——VOSET(coupled Volume-of-Fluid and Level Set method)结合了VOF和Level Set两种方法的优点,克服了这两种方法的缺点。VOSET方法采用VOF方法捕捉两相间的界面,保持了两相间的质量守恒,克服了Level Set方法质量不守恒...界面追踪方法——VOSET(coupled Volume-of-Fluid and Level Set method)结合了VOF和Level Set两种方法的优点,克服了这两种方法的缺点。VOSET方法采用VOF方法捕捉两相间的界面,保持了两相间的质量守恒,克服了Level Set方法质量不守恒的缺点;利用几何计算方法计算界面附近的Level Set函数,从而可以计算出准确的界面曲率和光顺界面附近突变的物理量,克服了VOF方法利用流体体积函数C计算界面曲率误差较大和光顺界面附近突变的物理量效果较差的缺点,因此该方法较VOF和Level Set方法更加精确。采用VOSET方法对两个及多个气泡的上升和溶并过程进行模拟,分析了复杂两相流动问题中VOSET方法的质量守恒特性、几何计算方法的可行性及求解过程的稳定性。本文的研究工作将为VOSET方法的推广应用奠定基础。展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11572062)the Fundamental Research Funds for the Central Universities,China(Grant No.CDJZR13248801)+2 种基金the Program for Changjiang Scholars and Innovative Research Team in University,China(Grant No.IRT13043)Key Laboratory of Functional Crystals and Laser Technology,TIPCChinese Academy of Sciences
文摘We developed a three-dimensional multi-relaxation-time lattice Boltzmann method for incompressible and immiscible two-phase flow by coupling with a front-tracking technique. The flow field was simulated by using an Eulerian grid, an adaptive unstructured triangular Lagrangian grid was applied to track explicitly the motion of the two-fluid interface, and an indicator function was introduced to update accurately the fluid properties. The surface tension was computed directly on a triangular Lagrangian grid, and then the surface tension was distributed to the background Eulerian grid. Three benchmarks of two-phase flow, including the Laplace law for a stationary drop, the oscillation of a three-dimensional ellipsoidal drop, and the drop deformation in a shear flow, were simulated to validate the present model.
基金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)the Fundamental Research Funds for the Central Universities,China(Grant Nos.CDJXS11240011 and CDJXS10241103)
文摘In this paper, an improved incompressible multi-relaxation-time lattice Boltzmann-front tracking approach is proposed to simulate two-phase flow with a 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 the fluid properties accurately. 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 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.
基金Project supported by the Knowledge Innovation Program of the Chinese Academy of Sciences(No.KJCX2-YW-L08)
文摘A numerical study on the interaction of two spherical drops in the thermocapillary migration is presented in the microgravity environment. Finite-difference methods are adopted. The interfaces of the drops are captured by the front-tracking technique. It is found that the arrangement of the drops directly influences their migration and interaction, and the motion of one drop is mainly determined by the disturbed temperature field because of the existence of the other drop.
文摘界面追踪方法——VOSET(coupled Volume-of-Fluid and Level Set method)结合了VOF和Level Set两种方法的优点,克服了这两种方法的缺点。VOSET方法采用VOF方法捕捉两相间的界面,保持了两相间的质量守恒,克服了Level Set方法质量不守恒的缺点;利用几何计算方法计算界面附近的Level Set函数,从而可以计算出准确的界面曲率和光顺界面附近突变的物理量,克服了VOF方法利用流体体积函数C计算界面曲率误差较大和光顺界面附近突变的物理量效果较差的缺点,因此该方法较VOF和Level Set方法更加精确。采用VOSET方法对两个及多个气泡的上升和溶并过程进行模拟,分析了复杂两相流动问题中VOSET方法的质量守恒特性、几何计算方法的可行性及求解过程的稳定性。本文的研究工作将为VOSET方法的推广应用奠定基础。
