全离散Fourier非线性Galerkin算法稳定性

The Stability of Full Discrete Fourier Nonlinear Galerkin Algorithm

就一种简单的非线性Ｇａｌｅｒｋｉｎ方法的构造，讨论了其全离散Ｆｏｕｒｉｅｒ非线性Ｇａｌｅｒｋｉｎ方法所得逼近解的有界性及其对初值的连续依赖性．

The full discrete Fourier nonlinear Galerkin algorithm is applied to the two dimensional Navier Stokes equations with periodic boundary conditions. Discussed are the boundedness of its approximate solution and continuity with respect to initial value. The results attain better stability than those found from the classical Galerkin method. Long time behavior could be better simulated in addition to the possibility of modeling turbulence.