A two-step stabilized finite element algorithm for the Smagorinsky model

作者：

Highlights：

• An efficient two-step stabilized finite element algorithm for the simulation of Smagorinsky model is presented.

• The algorithm uses equal-order and finite elements pairs for the velocity and pressure in the first and second steps, respectively.

• Optimal error estimate is derived for the presented algorithm.

• Superiority of the proposed two-step stabilized finite element algorithm to the one-step stabilized algorithm with finite elements is demonstrated by numerical tests.

摘要

•An efficient two-step stabilized finite element algorithm for the simulation of Smagorinsky model is presented.•The algorithm uses equal-order and finite elements pairs for the velocity and pressure in the first and second steps, respectively.•Optimal error estimate is derived for the presented algorithm.•Superiority of the proposed two-step stabilized finite element algorithm to the one-step stabilized algorithm with finite elements is demonstrated by numerical tests.

论文关键词：Smagorinsky model,Stabilized method,Two-step algorithm,Equal-order finite element

论文评审过程：Received 16 January 2021, Revised 16 January 2022, Accepted 21 January 2022, Available online 4 February 2022, Version of Record 4 February 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.126971