高等学校计算数学学报
高等學校計算數學學報
고등학교계산수학학보
NUMERICAL MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES
2009年
4期
349-368
,共20页
Navier-Stokes equations%colocated finite volume scheme%stability
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.
