A stabilization technique for stationary flow problems
A stabilization technique for stationary flow problems
复制标题
稳定流动问题的稳定技术
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
H. Kume
中科院分区：
文献类型：
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作者：
H. Kanayama;D. Tagami;Takahiro Araki;H. Kume
研究定常Navier-Stokes方程的有限元稳定化方法。为了求解定常Navier-Stokes方程，使用牛顿法。为了在非线性迭代的每一步计算问题，引入了稳定化技术。为了研究其计算效率，还考虑了满足inf-sup条件的带稳定项的混合插值。数值结果表明，在非线性迭代的每一步中，稳定化项的加入提高了牛顿法的收敛性，特别是在高雷诺数的情况下。
Finite element methods with stabilization techniques for the stationary Navier–Stokes equations are studied. To solve the stationary Navier–Stokes equations, the Newton method is used. To compute the problem at each step of the nonlinear iteration, a stabilization technique is introduced. The mixed interpolation, which satisfies the inf-sup condition, with stabilized terms is also considered to investigate its computational efficiency. Numerical results show that stabilized terms improve convergences of the Newton method especially in the case of high Reynolds number as well as those of the linear solver at each step of the nonlinear iteration.