我们由使用有限元素的最低的相等顺序的对基于为短暂海军司烧方程的压力设计和外推的 trapezoidal 统治考虑一个新 subgrid 旋涡粘性方法。计划稳定传送对流统治问题并且改善限制 inf 啜相容性稳定性。它包括为稳定的术语和计算为更高的顺序衍生物要求了的压力免费的参数有一些吸引人的特征。而且,它要求仅仅每时间从一个 Oseen 问题产生的线性系统的解决方案走并且有第二份订单时间的精确性。方法关于答案整齐完成最佳的精确性。[从作者抽象]
We consider a new subgrid eddy viscosity method based on pressure projection and extrapolated trapezoidal rule for the transient Navier-Stokes equations by using lowest equal-order pair of finite elements. The scheme stabilizes convection dominated problems and ameliorates the restrictive inf-sup compatibility stability. It has some attractive fea- tures including parameter free for the pressure stabilized term and calculations required for higher order derivatives. Moreover, it requires only the solutions of the linear system arising from an Oseen problem per time step and has second order temporal accuracy. The method achieves optimal accuracy with respect to solution regularity.