A nine point difference scheme and iteration solving method is presented for two dimensional energy equations with three temperatures, in numerical simulation of driven implosion by laser. Some results are given as well.

In view of the complexities of laser cavity target flow, a numerical technique is presented that couples an Eulerian approximation with a Lagrangian approximation,onedimensional calculation with two dimensional calculation. We call it EL-1D2D method. On the basis of trace interface moving grid method, some particular technique is established mainly by setting an Eulerian line and by merging the zone adaptively beside the Eulerian line. Numerical results show that this method can calculated fairly complicated flow in the cavity and get reasonable physical image.

A new algorithm of algebraic multigrid (AMG)method is proposed.As an important example, the AMG method is applied to solve the splitting scheme of the Euler equations.The equations with high CFL number can be calculated with the AMG method.This example demonstrates that the AMG method can solve the linear algebraic systems of equations unable to be solved by Gauss-Seidel iteration method.This is a new result and extends the range of application of the AMG method.