A Stabilization Technique for Steady Flow Problems
A Stabilization Technique for Steady Flow Problems
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DOI：
10.1080/1061856031000152335
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发表时间：
2004-01
影响因子：
1.3
通讯作者：
H. Kanayama;D. Tagami;Takahiro Araki;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
研究了定常Navier-Stokes方程的稳定化有限元方法。为了求解定常Navier-Stokes方程，采用牛顿法。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，也提高了线性求解器的收敛性。
Finite element methods with stabilization techniques for the steady Navier–Stokes equations are studied. To solve the steady 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 numbers as well as those of the linear solver at each step of the nonlinear iteration.