A two dimentional adaptive numerical grids generation method and its particular realization is discussed. During Computational Fluid Dynamics, because the control values of adaptive grids-numerical solution is given in the descrite form, it needs to interpolate these values to get the continuous control functions. This paper discussed these interpolation techniques, and given some efficient adaptive grids. At last, a two dimentional fluid dynamics example was also given.

Fast generating two dimensional numerical grids line by line is discussed. Grid generation method which uses parabolic partial differential equations for external region of bodies in References[1] is extended to enclosed region. The idea is also applied to solve more complex elleptic partial differential equations for grid generation. Some generated grids by the method are presented.

To calculate multi component fluid dynamics,a nonconservative difference scheme in Lagrangian coordinate is given with some results showing the effect of this scheme.

Harten's TVD scheme (1983) is sucessfully applied to the 1-D Lagrangian fluid dynamic equations,where not all the physical variables are discretized on the same point.A high resolution non-conservative scheme for multi-material system is given.Numerical experiments are presented to demonstrate the performance of these schemes.