Spatial and time resolution of thermal scalar field and velocity fields are different in turbulence thermal convection. A multiple-resolution parallel direct method for DNS with two different girds is presented to solve the problem of huge computational cost in simulation of turbulence thermal convection with very high Rayleigh numbers. A constant translation interpolation method of speed was designed to meet continuous equations at each finer gird in data transformation between coarser gird and finer gird. Simulations of 2D turbulence thermal convection with very high Rayleigh numbers show that computational cost is reduced an order of magnitude by using this method. Small-scale eddy-like plumes, that move rapidly in thermal convection, are well performed in instantaneous temperature fields. It is consistent with results with a single gird. Difference of Nusselt number obtained by two methods is below 1%.

A frequency domain electromagnetic algorithm boundary element method is applied for computation of Casimir forces between arbitrary materials with arbitrary geometry.Considering electric and magnetic surface current distributions,Casimir force of two objects in terms of interactions of surface currents is obtained.Casimir effects between dielectric objects embedded in dielectric fluid are presented and numerical conditions of repulsive Casimir force are investigated.Non-zeropoint energy Casimir force calculation method is provided.It can be used for design of realistic MEMS.

A finite element method with perfectly matched layers(PML) is developed for wave scattering from a two-dimensional cavity embedded in an infinite ground plane. Based on a variational formulation it uses the PML technique to truncate an unbounded computational domain to a bounded one. Hence, a PML problem instead of the original scattering problem is solved. Convergence of the PML problem to the scattering problem is analyzed. Numerical experiments illustrate competitive behavior of the proposed method.

A thin film deposition dimensionless model for flat planetary fixture is developed.Optimal geometric configurations with theoretical representative radial uniformity are acquired by analyzing the evaporating source location L/H,the distance between the main axis and the secondary axis P/H,the slope angle of fixture A and the emissive characteristics of vapor source N.An optimum design zone is shown by evaluating optimal geometric configurations with coating materials efficiency,angular uniformity and emissive characteristics sensitivity.The results indicate that the thickness via angular distribution is more uniform as L/H+P/H is small and the coating material efficiency is higher when both L/H+P/H and A are small;As L<P and A=-15deg,the optimal geometric configurations are more insensitive to N;As L>P,the change of the representative radial distribution due to the change of the emissive characteristics is less than 0.5%.