A Hybrid Regularization for the Navier-Stokes Equations

被引：0
|
作者：
Cibik, Aytekin [1 ]
Siddiqua, Farjana [2 ]
Layton, William [3 ]
机构：
[1] Gazi Univ, Dept Math, Ankara, Turkiye
[2] Georgia Inst Technol, Sch Math, Atlanta, GA USA
[3] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2025年 / 41卷 / 02期
关键词：
artificial compression; Navier-Stokes equations; penalty; PENALTY-PSEUDOCOMPRESSIBILITY METHOD; ARTIFICIAL COMPRESSIBILITY METHOD; FILTER;
D O I：
10.1002/num.70002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 1991 Ramshaw and Mesina proposed a novel synthesis of penalty methods and artificial compression methods. When the two were balanced they found the combination was 3-4 orders more accurate than either alone. This report begins developing a mathematical foundation addressing the reliability of their interesting method. We perform stability analysis, semi-discrete error analysis, and tests of the algorithm.
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页数：13
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