Based on maximum principle analysis together with definitions of restriction position and restriction stencil, a unification of multidimensional limiter construction process for unstructured mesh was presented. To enhance flow resolution, a new type of multidimensional limiter was developed. It was compared with several conventional limiters. It shows that due to less restriction in gradient reconstruction process, the new limiter is less dissipative and has better resolution for complex flow with shock and contact discontinuity interaction.

Three-dimensional adjoint transport calculation module was integrated into S_N transport code ARES in which automated variance reduction parameters are generated based on consistent adjoint driven importance sampling method to accelerate calculation of MCNP5. It shows that automated variance reduction parameters are effective to improve MC calculational efficiency and to produce unbiased statistical results. Automated variance reduction technique with S_N function estimates particle importance more economically and accurately. It avoids obstacles of manual estimation and could be applied for MC simulation of large-scale, complicated shielding problems.

Heat transfer distribution is analyzed on a rough wall in high speed turbulent compressible flow via computational fluid dynamics(CFD) method and analytical correlations, focusing on heat transfer with different roughness number and roughness element shape. It shows that, in all cases, heat flux augmentation predicted with CFD increases with reduction of roughness element density and levels off after roughness shape density is small, which differs with data of three analytical correlations. Predicted heat fluxes are same if same roughness element density and equivalent height are imposed on analytical correlations distinguishing from tendency of CFD results, which changes with roughness element shapes.

A high efficiency finite difference time-domain method based on high order compact scheme is shown.It not only improves accuracy,but also has the advantages of fewer grid nodes,lower memory consumes and CPU time.Numerical simulations of electromagnetic wave propagation in a lossless waveguide and photonic crystals fibers are realized.They prove efficiency and accuracy of the algorithm.