Reduced-order modeling for unsteady transonic flows around an airfoil

被引：31
作者：
Bourgueta, Remi
Braza, Marianna
Dervieux, Alain
机构：
[1] Inst Mecan Fluides Toulouse, F-31400 Toulouse, France
[2] Inst Natl Rech Informat & Automat, F-06902 Sophia Antipolis, France
来源：
PHYSICS OF FLUIDS | 2007年 / 19卷 / 11期
关键词：
PROPER ORTHOGONAL DECOMPOSITION; LOW-DIMENSIONAL MODELS; COHERENT STRUCTURES; COMPRESSIBLE FLOWS; VISCOUS FLOWS; POD; TURBULENCE; CYLINDER; DYNAMICS; TURBOMACHINERY;
D O I：
10.1063/1.2800042
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
High-transonic unsteady flows around an airfoil at zero angle of incidence and moderate Reynolds numbers are characterized by an unsteadiness induced by the von Karman instability and buffet phenomenon interaction. These flows are investigated by means of low-dimensional modeling approaches. Reduced-order dynamical systems based on proper orthogonal decomposition are derived from a Galerkin projection of two-dimensional compressible Navier-Stokes equations. A specific formulation concerning density and pressure is considered. Reduced-order modeling accurately predicts unsteady transonic phenomena. (c) 2007 American Institute of Physics.
引用
收藏
页数：4
相关论文
共 27 条
[11]   Proper orthogonal decomposition technique for transonic unsteady aerodynamic plows [J].
Hall, KC ;
Thomas, JP ;
Dowell, EH .
AIAA JOURNAL, 2000, 38 (10) :1853-1862
[12]   Stability properties of POD-Galerkin approximations for the compressible Navier-Stokes equations [J].
Iollo, A ;
Lanteri, S ;
Désidéri, JA .
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 2000, 13 (06) :377-396
[13]   An intrinsic stabilization scheme for proper orthogonal decomposition based low-dimensional models [J].
Kalb, Virginia L. ;
Deane, Anil E. .
PHYSICS OF FLUIDS, 2007, 19 (05)
[14]  
Karhunen K., 1946, Annales Academiae Scientiarum Fennicae Ser, V34
[15]   Projection methods for reduced order models of compressible flows [J].
Lucia, DJ ;
Beran, PS .
JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 188 (01) :252-280
[16]   A low-dimensional model for simulating three-dimensional cylinder flow [J].
Ma, X ;
Karniadakis, GE .
JOURNAL OF FLUID MECHANICS, 2002, 458 :181-190
[17]   A hierarchy of low-dimensional models for the transient and post-transient cylinder wake [J].
Noack, BR ;
Afanasiev, K ;
Morzynski, M ;
Tadmor, G ;
Thiele, F .
JOURNAL OF FLUID MECHANICS, 2003, 497 :335-363
[18]   Transonic shock oscillations on NACA0012 aerofoil [J].
Raghunathan, S ;
Mitchell, RD ;
Gillan, MA .
SHOCK WAVES, 1998, 8 (04) :191-202
[19]   Model reduction for compressible flows using POD and Galerkin projection [J].
Rowley, CW ;
Colonius, T ;
Murray, RM .
PHYSICA D-NONLINEAR PHENOMENA, 2004, 189 (1-2) :115-129
[20]   STEADY AND UNSTEADY TRANSONIC FLOW [J].
SEEGMILLER, HL ;
MARVIN, JG ;
LEVY, LL .
AIAA JOURNAL, 1978, 16 (12) :1262-1270
123