Nine kinds of heavy oil thermal recovery models are summarized,including non-Newtonian power-law fiuids model,two-region composite reservoir model,three-region composite reservoir model,multi-region composite reservoir model,model with consideration of gravity override and interference testing well model,etc.Pressures and pressure derivatives are briefly analyzed.Advantages and disadvantages of models are compared.Problems in current models and trends in research of heavy oil well test are pointed out.

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.

On the basis of pseudo elimination (PE) approach,the algorithm of the block two stage multisplitting (TSM) interative method for linear systems of the form Ax=f is proposed,when A is block tridiagonal matrix.The resulting multisplitting pseudo elimination(MPPE) method has been tested on a Challeng-L and power PC Cluster computer.Numerical examples are also given.

It presents the AGE(Alternating Group Explicit) method for solving the two-dimensional Burgers equation.The method is unconditionally stable by analysis of linearization procedure and has obvious property of parallelism.Numerical example is given at the shared memory computer.