The Lattice Boltzmann Method Simulation Of The Flow Past Static And Rotating Circular Cylinder

The influence of particles to liquid property has been always the focus and nodus of the mechanism of air-particle phases. Built in the microcosmic model, the Lattice Boltzmann Method has attained the long development in the area, arousing the extensive attention in mathematic hydromechanics field. LBM, a newly and effective algorithm combined with computers, has the following strong points like simple calculation, easy handle with complex boundary and Cross-Scale conundrums. In this dissertation, I will simulate two-dimension stationary and flow around a circular cylinder on the basis of particle flow in simple stream field.The paper focus on stationary column flow to verify numerical LBM model and boundary treatmeat, including three models: D2Q9model, He-Luo model, D2G9 model, D2G9 model and also three typical boundary disposal methods , that are rebound method, OSIF and CPIF method ,non-equilibrium extrapolation method. Additionally numerical simulation is made on standard examples in offset column flow of parabola flow by Schafer & Turek in 1996, combining diverse LBM models and boundary disposal methods, compare the result between simulation results and experiment results in documentation, stream lines, vortex fields, drag coefficients and lift coefficients, to verify the stability and precision of LBM Model. In the final analysis, I compare the precision of various boundary formats and the results are sufficient enough to demonstrate that He-Luo model, D2G9 model,CPIF model and non-equilibrium extrapolation method have higher precision.In stationary cylinder flow simulation, I simulate the example in Benchmark using various LBM Models and curved boundary treatments, including analysis of stream field and comparision among force coefficients , to verify the stability and precision of LBM Model. In addition, I compare the precision of various boundary formats and the results are sufficient enough to demonstrate that CPIF method and non-equilibrium extrapolation method has higher precision.But in real world, particulate always move parallelly and reelingly. So I simulate the flow around cylinder which rotate around the centre with D2Q9 model and non-equilibrium extrapolation method. The example is the experiment made by Madeleine & Christian in 1985.And the coming flow is of uniformity.The flowing result analysis contains comparisons of streamline, vortex field, velocity, drag coefficient and lift coefficient. All the outcome indicate that curved boundary treatment of LBM has high precision also.