Steady solutions of the Navier-Stokes equations by selective frequency damping

被引：257

作者：

Akervik, Espen ^{[1
]}

Brandt, Luca ^{[1
]}

Henningson, Dan S. ^{[1
]}

Hoepffner, Jerome ^{[1
]}

Marxen, Olaf ^{[1
]}

Schlatter, Philipp ^{[1
]}

机构：

[1] KTH Mech, SE-10044 Stockholm, Sweden

来源：

PHYSICS OF FLUIDS | 2006年 / 18卷 / 06期

关键词：

D O I：

10.1063/1.2211705

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A new method, enabling the computation of steady solutions of the Navier-Stokes equations in globally unstable configurations, is presented. We show that it is possible to reach a steady state by damping the unstable (temporal) frequencies. This is achieved by adding a dissipative relaxation term proportional to the high-frequency content of the velocity fluctuations. Results are presented for cavity-driven boundary-layer separation and a separation bubble induced by an external pressure gradient.

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页数：4

相关论文

共 10 条

[1] Global instabilities in spatially developing flows: Non-normality and nonlinearity [J].

Chomaz, JM .

ANNUAL REVIEW OF FLUID MECHANICS, 2005, 37 (37) :357-392

[2]

Kailath T., 1980, LINEAR SYSTEMS

[3] A robust high-resolution split-type compact FD scheme for spatial direct numerical simulation of boundary-layer transition [J].

Kloker, MJ .

APPLIED SCIENTIFIC RESEARCH, 1998, 59 (04) :353-377

[4] On the onset of nonlinear oscillations in a separating boundary-layer flow [J].

Marquillie, M ;

Ehrenstein, U .

JOURNAL OF FLUID MECHANICS, 2003, 490 :169-188

[5] A temporal approximate deconvolution model for large-eddy simulation [J].

Pruett, CD ;

Thomas, BC ;

Grosch, CE ;

Gatski, TB .

PHYSICS OF FLUIDS, 2006, 18 (02)

[6] The temporally filtered Navier-Stokes equations: Properties of the residual stress [J].

Pruett, CD ;

Gatski, TB ;

Grosch, CE ;

Thacker, WD .

PHYSICS OF FLUIDS, 2003, 15 (08) :2127-2140

[7] LES of transitional flows using the approximate deconvolution model [J].

Schlatter, P ;

Stolz, S ;

Kleiser, L .

INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2004, 25 (03) :549-558

[8] An approximate deconvolution model for large-eddy simulation with application to incompressible wall-bounded flows [J].

Stolz, S ;

Adams, NA ;

Kleiser, L .

PHYSICS OF FLUIDS, 2001, 13 (04) :997-1015

[9] CONVERGENCE OF SPECTRAL METHODS FOR NONLINEAR CONSERVATION-LAWS [J].

TADMOR, E .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1989, 26 (01) :30-44

[10] Advances in global linear instability analysis of nonparallel and three-dimensional flows [J].

Theofilis, V .

PROGRESS IN AEROSPACE SCIENCES, 2003, 39 (04) :249-315