Acoustic streaming generated by standing waves between two-dimensional flat plates is analyzed based on multiple relaxation time lattice Boltzmann method (MRT-LBM). Simulation results are in good agreement with approximate analytical solutions of Rayleigh streaming. Effects of viscosity and width between two plates on acoustic streaming in standing waves are studied. Dimensionless velocity distributions of x component with different viscosity at x=L/4 and dimensionless velocity distributions of y component with different viscosity at x=L/2,and effects of widths on boundary layer vortex thickness and formation progress of acoustic streaming in standing waves are revealed. It demonstrates availability of MRT-LBM model in simulating acoustic streaming in standing waves.

Three approaches are suggested to verifty the Euler flow calcuations for aircraft configurations.The first proposed approach is to calculate the same flow problem on the same grid with different methods, which uses,Jameson's central-difference finite volume method and Steger-Warming's flux-splitting finite volume method.The second one is to evaluate the effects of grid refinements by using Roache's Grid Convergence Index.And the third one is to calculate the same flow problem on grids with different topology.The computed results are validated by comparisons with authoritative and credible experimental data.

The numerical Computation displays some staircases and indacates existence of DEVIL STAIRS during the chaotic motions in the coupled equation of J-J type with ac-current.

By Studying and calculating poincare section. power spectrum and Lyapunov exponents about the system of J-J type, we have obtained:(1)When some parameters vary and the rotating number is fixed, there is the route of quasi-period to chaos, which embodies that the fixed circle produces kinks at first, and with Jerking-lengthening and compression of kinks, then develops into station of chaos.(2) There is only outer-kinks in the single system of J-J type, and there are two kinks, inter-kinks and outer-kinks in the double system of J-J type.