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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