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

[11] On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models [J].

Berselli, Luigi C. ;

Bisconti, Luca .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (01) :117-130

[12] Analysis of a Large Eddy Simulation model based on anisotropic filtering [J].

Berselli, Luigi C. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (01) :149-170

[13] The Leray-αβ-deconvolution model: Energy analysis and numerical algorithms [J].

Bowers, Abigail L. ;

Kim, Tae-Yeon ;

Neda, Monika ;

Rebholz, Leo G. ;

Fried, Eliot .

APPLIED MATHEMATICAL MODELLING, 2013, 37 (03) :1225-1241

[14]

Cao YP, 2006, COMMUN MATH SCI, V4, P823

[15] ON STATISTICAL CORRELATIONS BETWEEN VELOCITY INCREMENTS AND LOCALLY AVERAGED DISSIPATION IN HOMOGENEOUS TURBULENCE [J].

CHEN, SY ;

DOOLEN, GD ;

KRAICHNAN, RH ;

SHE, ZS .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (02) :458-463

[16] Direct numerical simulations of the Navier-Stokes alpha model [J].

Chen, SY ;

Holm, DD ;

Margolin, LG ;

Zhang, RY .

PHYSICA D-NONLINEAR PHENOMENA, 1999, 133 (1-4) :66-83

[17] On a Leray-α model of turbulence [J].

Cheskidov, A ;

Holm, DD ;

Olson, E ;

Titi, ES .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2005, 461 (2055) :629-649

[18] Time-Periodic Solutions of the Navier-Stokes Equations in Unbounded Cylindrical Domains - Leray's Problem for Periodic Flows (vol 178, pg 301, 2005) [J].

da Veiga, H. Beirao .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2010, 198 (03) :1095-1095

[19] Time-periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains - Leray's problem for periodic flows [J].

Da Veiga, HB .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2005, 178 (03) :301-325

[20] On the Stolz-Adams deconvolution model for the large-eddy simulation of turbulent flows [J].

Dunca, A ;

Epshteyn, Y .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2006, 37 (06) :1890-1902

← 1 2 3 4 5 →