For discontinuous finite element method of time-dependent neutron transport equations in 2D cylindrical geometry,a parallel algorithm with interface prediction and correction is designed.Numerical experiments show that the parallel algorithm with explicit prediction and implicit correction has good precision,parallelism and simplicity.Compared with parallel algorithm based on implicit scheme,the new parallel algorithm has higher parallel efficiency with accuracy-preserving.Especially,it achieves super-linear speedup on hundreds of processors for large-scale problems.

We analyze domain decomposition and priority queuing algorithms for neutron transport equations with 2-D cylindrical geometry. A domain decomposition method based on the lowest surface-to-volume aspect and a corresponding priority queuing algorithm are proposed.Numerical experiments indicate that the method exhibits perfect speedup with hundreds of processors on parallel computers with high network latency.

Riemann problems in three-pieces, which only contains contact discontinuities on initial data, are dassified for 2-D gas dynamics systems, and numerical solutions of the Riemann problems are presented by using Taylor-FVM MInB difference schemes derived in [1].From the numerical results, it is shown that Riemann problem in three-pleas is the simplest cases in Riernann problems for 2-D gas dynamics systems, and the solution structure is basic one.

The nonlinear chromatography process is simulated with high precision and resolution schemes to catch the shock, which are TVD (Total Variation Decreas) scheme and MmB (Locally Maximum-minimum Bounds preserving) scheme. Through the simulation, the shock effect is determined in higher resolution and the retention times are calculated in higher resolution and the retention times are calculated in higher Precision. The comparison among results of theoretical analyse, experiments and the presend numerical simulation shows that the simulation results can betalcenas a fair approximation for nonlinear chromatography process.

In this paper, a class of second order accurate MmB (locally Maximum_minimumBounds preserving) schemes is constructed for initial value problems of 2_D nonlinearconservation laws on regular triangular meshes, and the numerical solutions for Riemann problems of 2_D inviscid Bergers eqution are given by using these schemes. The numerical results showthat the schemes have high resolution and nonoscillatory properties.