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Qiu, Hailong; An, Rong; Mei, Liquan; Xue, Changfeng

Two-step algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions. (English) Zbl 06755529

Appl. Numer. Math. 120, 97-114 (2017).
Summary: Two-step algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions are considered in this paper. Our algorithms consist of solving one Navier-Stokes variational inequality problem used the linear equal-order finite element pair (i.e., \(P_1 - P_1\)) and then solving a linearization variational inequality problem used the quadratic equal-order finite element pair (i.e., \(P_2 - P_2\)). Moreover, the stability and convergence of our two-step algorithms are derived. Finally, numerical tests are presented to check theoretical results.

Cited in 14 Documents

MSC:

65-XX Numerical analysis

Keywords:

Navier-Stokes equations; friction boundary conditions; linear equal-order pair; quadratic equal-order pair; two-step strategy; error estimate
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