A lattice Boltzmann model of KdV-Burgers equation is derived by using the single-relaxation form of the lattice Boltzmann equation. With the present model, we simulate the traveling-wave solutions, the solitary-wave s...A lattice Boltzmann model of KdV-Burgers equation is derived by using the single-relaxation form of the lattice Boltzmann equation. With the present model, we simulate the traveling-wave solutions, the solitary-wave solutions, and the sock-wave solutions of KdV-Burgers equation, and calculate the decay factor and the wavelength of the sock-wave solution, which has exponential decay. The numerical results agree with the analytical solutions quite well.展开更多
Combined with the kinetic model of liquid film spreading,a new numerical method of solid-liquid-gas three-phase flow was developed for the moving of contact line,which was a hybrid method of computational fluid dynami...Combined with the kinetic model of liquid film spreading,a new numerical method of solid-liquid-gas three-phase flow was developed for the moving of contact line,which was a hybrid method of computational fluid dynamics and lattice Boltzmann method(LBM).By taking the effect of molecule force in droplet and the wall surface on liquid film into account,the changing law of contact angle with different surface tensions was analyzed on glass and aluminum foil surfaces.Compared with experimental results,the standard deviation by using LBM is less than 0.5°,which validates the feasibility of LBM simulation on the dynamic process of liquid film spreading.In addition,oscillations are discovered both at the initial and end phases.The phenomenon of retraction is also found and the maximum retraction angle is 7.58°.The obtained result shows that the retraction is proved to be correlative with precursor film by tracking the volume change of liquid film contour.Furthermore,non-dimensional coefficient λ is introduced to measure the liquid film retraction capacity.展开更多
文摘A lattice Boltzmann model of KdV-Burgers equation is derived by using the single-relaxation form of the lattice Boltzmann equation. With the present model, we simulate the traveling-wave solutions, the solitary-wave solutions, and the sock-wave solutions of KdV-Burgers equation, and calculate the decay factor and the wavelength of the sock-wave solution, which has exponential decay. The numerical results agree with the analytical solutions quite well.
基金Project(U1261107)supported by the National Natural Science Foundation of China
文摘Combined with the kinetic model of liquid film spreading,a new numerical method of solid-liquid-gas three-phase flow was developed for the moving of contact line,which was a hybrid method of computational fluid dynamics and lattice Boltzmann method(LBM).By taking the effect of molecule force in droplet and the wall surface on liquid film into account,the changing law of contact angle with different surface tensions was analyzed on glass and aluminum foil surfaces.Compared with experimental results,the standard deviation by using LBM is less than 0.5°,which validates the feasibility of LBM simulation on the dynamic process of liquid film spreading.In addition,oscillations are discovered both at the initial and end phases.The phenomenon of retraction is also found and the maximum retraction angle is 7.58°.The obtained result shows that the retraction is proved to be correlative with precursor film by tracking the volume change of liquid film contour.Furthermore,non-dimensional coefficient λ is introduced to measure the liquid film retraction capacity.
