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.

引用

页数：13

共 50 条

[21] NAVIER-STOKES EQUATIONS ON THE β-PLANE
Al-Jaboori, Mustafa A. H.
Wirosoetisno, Djoko
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 16 (03): : 687 - 701
[22] TRANSFORMATION OF NAVIER-STOKES EQUATIONS
ROGERS, DF
GRANGER, RA
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1971, 16 (11): : 1331 - &
[23] FLUCTUATIONS IN NAVIER-STOKES EQUATIONS
PAPANICOLAOU, GC
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A236 - A236
[24] NAVIER-STOKES EQUATIONS PARADOX
Ramm, Alexander G.
REPORTS ON MATHEMATICAL PHYSICS, 2021, 88 (01) : 41 - 45
[25] STOCHASTIC NAVIER-STOKES EQUATIONS
CAPINSKI, M
CUTLAND, N
ACTA APPLICANDAE MATHEMATICAE, 1991, 25 (01) : 59 - 85
[26] FRACTIONAL NAVIER-STOKES EQUATIONS
Cholewa, Jan W.
Dlotko, Tomasz
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (08): : 2967 - 2988
[27] Euler and Navier-Stokes equations
Constantin, Peter
PUBLICACIONS MATEMATIQUES, 2008, 52 (02) : 235 - 265
[28] On the Navier-Stokes equations on surfaces
Pruess, Jan
Simonett, Gieri
Wilke, Mathias
JOURNAL OF EVOLUTION EQUATIONS, 2021, 21 (03) : 3153 - 3179
[29] REGULARITY OF NAVIER-STOKES EQUATIONS
Moise, Ioana
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2006, 19 (01) : 31 - 50
[30] Lectures on Navier-Stokes Equations
Kunzinger, M.
MONATSHEFTE FUR MATHEMATIK, 2021, 195 (04): : 763 - 764

← 1 2 3 4 5 →