The simplified mathematic model and numerical method to simulate the entire temperature field and its changes in the courses of heat transfer through Multimedia of Solids and flows in an axis symmetrical space were established.

For solving the stress and displacement of cistern accurately, introduced the solution of finite element about this space axisymmetric using annular element with triangle section,compiled the finite element program in FORTRAN,validated its precision on calculating spatial space axisymmetric by comparing the result with the theoretic value,and illusrate according to practical examples.

The key point is that based on the mechanical characters of the structure, a space axial-symmetrical model with vertical cracks on surface is constructed using circular rectangle-section unit to simulate concrete structure and Goodman cutting unit to simulate geocell and the interactions between concrete and geocell.