摘要
用分步法求解N-S方程在无穷远处不为零的初边值外问题,证明了近似解与方程的解之差在空间L-(0,T;(H^(n+1)(Ω))~2),s<3/2是有界的,而且在空间L-(0,T,(H^1(Ω))~2)以O(k)的速率收敛,这里k是时间步长。
The viscous splitting for the exterior initial boundary problems of the Navier-Stokes equation whose solutions are nonzero at infinity is considered. It is proved that the differences of the apporimate solutions and the exact solutions are uniformly bounded in the space L∞(O, T; H5+1(Ω)), s<3/2; and converge with a rate of O(k) in the space L∞(O, T; H1(Ω)), where k is the length of time steps.
出处
《北京大学学报(自然科学版)》
CAS
CSCD
北大核心
1991年第3期264-280,共17页
Acta Scientiarum Naturalium Universitatis Pekinensis
关键词
N-S方程
初边值问题
粘性分离
Navier-Stokes equation
initial boundary problems
Fractional step method
Visvous splitting
Convergence