【摘要】 <正>1引言考虑不可压缩粘性流体的二维Navier-Stokes方程,它由速度压力公式和连续性方程的耦合组成,假设Ω是R~2的一个有界开区域,其边界为(?)Ω,对于给定的外力项f,我们更多还原

【Abstract】 For the numerical solution of the incompressible Navier-Stokes equations, authors such as S.Faure and R.Temam described a colocated finite volume scheme and studied its stability.Our goal in this paper is to prove new estimates on the discrete nonlinear term,to obtain two kinds of new a priori estimates on approximate solutions,and finally to present and prove an improved stability theorem. Theoretical and numerical results show that the new condition for stability given by us is weaker than that given by Faure et al.更多还原