发展型Navier-Stokes方程基于压力稳定化方法的谱逼近格式(英文)

Spectral Approximation Based on the Pressure Stabilization Mathod for Unsteady Navier-Stokes Equations

英文关键词:Legendre spectral approximation  pressure stabilization method  NavierStokes equation.

中文摘要:

      本文采用压力稳定化方法近似模拟不可压缩条件，进而构造了发展型非周期NavierStokes方程的全离散Legendre谱逼近计算格式，严格分析了格式的广义稳定性与收敛性．本文建立的逼近结果也适用其它非周期问题．

英文摘要:

      A Legendre spectral approximation based on the pressure stabilization method for non-periodic, unsteady Navier-Stokes equations is considered. The generalized stability and the convergence are proved strictly. The approximation results in this paper are also useful for other non-linear problems.