Large eddy simulation (LES) with 1.12×108 meshes was performed on three-dimensional jet in cross-flow(JICF) using lattice Boltzmann method (LBM) and multiple Graphic Processing Units (Multi-GPUs). Reynolds number based on free-stream velocity and jet diameter is 4 000, streamwise inclination angle of jet is α=30°, and jet-to-cross-flow velocity ratio is set as 0.5. Validity and feasibility of LBM-LES on simulating jet in cross-flow were verified by reasonable qualitative and quantitative results. Fine coherent structures were captured by large-scaled simulation which benefits study on mixing mechanism of jet-in-cross-flow(JICF). Moreover, 6 K20M GPUs were adopted in simulation and it took 15 402 seconds for LBM-GPU solver to simulate 71 680 LBM steps resulting in calculated performance of 521. 24 MLUPS.

The corrected Gramm-Schmidt method is employed in 3-splined fitting of photoionization cross sections which was calculated in the authors previous work.In the case of LTE approximation,photon and free electron are assumed to be in Planck and Maxwell distribution respectively.The present derivation shows that,the rate coefficients of photoionization and radiative recombination can be described analytically in terms of 3-splined fitting parameters.This formulation is applied to He-like Rb and He-like Nb ions,and some of the results are figured out and analysed.By means of averaging over initial states and summing over final states,the degeneration of rate coefficients that concern the level level transitions is analysed explicitely.With the attained result, comparison and evaluation have been made to the formula given by reference[1].

The GRASP program based on the multi-configuration Dirac-Fock self-consistent method have been extended and revised, so 15 configurations which consist of 89 energy levels in Ne-like titanium ions can be calculated in the same self-consistent process.In the calculations, the averaged level (AL) model and the Fermi two-parameter distribution model of the nuclear volume effect are considered, also Breit correction, vacuum polarization and self-energy effect are counted. LS and jj coupling labels are determined by the maximum combination coefficients. Electric dipole, electric quadrupole and magnetic dipole transition probabilities and oscillator strengths are calculated. The results of oscillator strengths are given in both the Coulomb and the Babushkin gauge, and the electro-dipole oscillator strengths in Babushkin gauge are also compared with the nonrelativistic counterpart.