ANALYSIS OF A REDUCED-ORDER APPROXIMATE DECONVOLUTION MODEL AND ITS INTERPRETATION AS A NAVIER-STOKES-VOIGT REGULARIZATION

被引：20

作者：

Berselli, Luigi C. ^{[1
]}

Kim, Tae-Yeon ^{[2
]}

Rebholz, Leo G. ^{[3
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

[2] Khalifa Univ Sci Technol & Res KUSTAR, Dept Civil Infrastruct & Environm Engn, Abu Dhabi, U Arab Emirates

[3] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 04期

基金：

美国国家科学基金会;

关键词：

Large eddy simulation; approximate deconvolution; Voigt and NS-Voigt models; energy spectra; numerical tests; LARGE-EDDY SIMULATION; WELL-POSEDNESS; ALPHA MODEL; VELOCITY;

D O I：

10.3934/dcdsb.2016.21.1027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study mathematical and physical properties of a family of recently introduced, reduced-order approximate deconvolution models. We first show a connection between these models and the Navier-Stokes-Voigt model, and also that Navier-Stokes-Voigt can be re-derived in the approximate de convolution framework. We then study the energy balance and spectra of the model, and provide results of some turbulent-flow computations that backs up the theory. Analysis of global attractors for the model is also provided, as is a detailed analysis of the Voigt model's treatment of pulsatile flow.

引用

页码：1027 / 1050

页数：24

共 48 条

[1]

Adams NA, 2001, MODERN SIMULATION STRATEGIES FOR TURBULENT FLOW, P21

[2] A subgrid-scale deconvolution approach for shock capturing [J].

Adams, NA ;

Stolz, S .

JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 178 (02) :391-426

[3]

[Anonymous], 1997, INFINITE DIMENSIONAL

[4]

[Anonymous], ADV CRYOGEN ENG, DOI DOI 10.1007/978-1-4757-9047-4_77

[5]

[Anonymous], 1976, Mathematics in Science and Engineering

[6]

Berselli L. C., 2012, LONDON MATH SOC LECT, V402, P1

[7]

Berselli LC, 2006, SCI COMPUT, P1

[8] On the construction of suitable weak solutions to the 3D Navier-Stokes equations in a bounded domain by an artificial compressibility method [J].

Berselli, Luigi C. ;

Spirito, Stefano .

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2018, 20 (01)

[9] PULSATILE VISCOUS FLOWS IN ELLIPTICAL VESSELS AND ANNULI: SOLUTION TO THE INVERSE PROBLEM, WITH APPLICATION TO BLOOD AND CEREBROSPINAL FLUID FLOW [J].

Berselli, Luigi C. ;

Guerra, Francesca ;

Mazzolai, Barbara ;

Sinibaldi, Edoardo .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2014, 74 (01) :40-59

[10] Convergence of approximate deconvolution models to the mean Navier-Stokes equations [J].

Berselli, Luigi C. ;

Lewandowski, Roger .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2012, 29 (02) :171-198

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