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Article

Solving the Incompressible Surface Stokes Equation by Standard Velocity-Correction Projection Methods

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China
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Author to whom correspondence should be addressed.
Academic Editors: Eun-jin Kim and Nikolay Kolev Vitanov
Entropy 2022, 24(10), 1338; https://doi.org/10.3390/e24101338
Received: 21 July 2022 / Revised: 14 September 2022 / Accepted: 19 September 2022 / Published: 23 September 2022
In this paper, an effective numerical algorithm for the Stokes equation of a curved surface is presented and analyzed. The velocity field was decoupled from the pressure by the standard velocity correction projection method, and the penalty term was introduced to make the velocity satisfy the tangential condition. The first-order backward Euler scheme and second-order BDF scheme are used to discretize the time separately, and the stability of the two schemes is analyzed. The mixed finite element pair (P2,P1) is applied to discretization of space. Finally, numerical examples are given to verify the accuracy and effectiveness of the proposed method. View Full-Text
Keywords: incompressible Stokes equation for surfaces; standard velocity correction projection method; mixed finite element pair; penalty term incompressible Stokes equation for surfaces; standard velocity correction projection method; mixed finite element pair; penalty term
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MDPI and ACS Style

Zhao, Y.; Feng, X. Solving the Incompressible Surface Stokes Equation by Standard Velocity-Correction Projection Methods. Entropy 2022, 24, 1338. https://doi.org/10.3390/e24101338

AMA Style

Zhao Y, Feng X. Solving the Incompressible Surface Stokes Equation by Standard Velocity-Correction Projection Methods. Entropy. 2022; 24(10):1338. https://doi.org/10.3390/e24101338

Chicago/Turabian Style

Zhao, Yanzi, and Xinlong Feng. 2022. "Solving the Incompressible Surface Stokes Equation by Standard Velocity-Correction Projection Methods" Entropy 24, no. 10: 1338. https://doi.org/10.3390/e24101338

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