THE FINITE ELEMENT METHOD OF THE THREE DIMENSIONAL STATIONARY ROTATING NAVIER-STOKES EQUATIONS IN THE PRIMITIVE VARIABLES WITH MIXED BOUNDARY CONDITIONS
混合边界条件下的三维定常 旋转Navier-Stokes方程的原始变量有限元计算

In this paper,we adopt the finite element method to solve the three dimensional station- ary rotating Navier-Stokes Equations in primitive variables with mixed boundary conditions. The existence and uniqueness of the approximate problem are showed,and the optimal error estimate is obtained.We give the simple iterative algorithm for the approximate problem, and prove the convergence of this algorithm.To overcome the restriction of the computer resource in the case of three dimension,we use the compressed sparse row format to store the stiff matrix.Then the GMRES method with an incomplete LU preconditioner is adopted to solve the linear system of equations.We analyze the advantage of the simple iterative method over Newton method at last.The numerical examples show that the more computational time has saved by the simple iterative method than the Newton method.