Stability analysis of thermo-acoustic nonlinear eigenproblems in annular combustors. Part II. Uncertainty quantification

被引:45
作者
Magri, Luca [1 ,2 ]
Bauerheim, Michael [3 ]
Nicoud, Franck [4 ]
Juniper, Matthew P. [2 ]
机构
[1] Stanford Univ, Ctr Turbulence Res, Stanford, CA 94305 USA
[2] Univ Cambridge, Dept Engn, Cambridge, England
[3] Swiss Fed Inst Technol, CAPS Lab, Zurich, Switzerland
[4] Univ Montpellier, IMAG UMR CNRS 5149, Montpellier, France
基金
欧洲研究理事会;
关键词
Thermo-acoustic stability; Uncertainty quantification; Annular combustors; Adjoint methods; AZIMUTHAL THERMOACOUSTIC MODES; PROPAGATION;
D O I
10.1016/j.jcp.2016.08.043
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Monte Carlo and Active Subspace Identification methods are combined with first-and second-order adjoint sensitivities to perform (forward) uncertainty quantification analysis of the thermo-acoustic stability of two annular combustor configurations. This method is applied to evaluate the risk factor, i.e., the probability for the system to be unstable. It is shown that the adjoint approach reduces the number of nonlinear-eigenproblem calculations by as much as the Monte Carlo samples. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:411 / 421
页数:11
相关论文
共 22 条
[1]  
[Anonymous], THESIS
[2]   Symmetry breaking of azimuthal thermoacoustic modes: the UQ perspective [J].
Bauerheim, M. ;
Ndiaye, A. ;
Constantine, P. ;
Moreau, S. ;
Nicoud, F. .
JOURNAL OF FLUID MECHANICS, 2016, 789 :534-566
[3]  
Bauerheim M., 2014, P SUMMER PROGRAM, P209
[4]   An analytical model for azimuthal thermoacoustic modes in an annular chamber fed by an annular plenum [J].
Bauerheim, Michael ;
Parmentier, Jean-Francois ;
Salas, Pablo ;
Nicoud, Franck ;
Poinsot, Thierry .
COMBUSTION AND FLAME, 2014, 161 (05) :1374-1389
[5]  
Campa G, 2011, PROCEEDINGS OF THE ASME TURBO EXPO 2011, VOL 2, PTS A AND B, P859
[6]   FORWARD AND BACKWARD UNCERTAINTY PROPAGATION FOR DISCONTINUOUS SYSTEM RESPONSE USING THE PADE-LEGENDRE METHOD [J].
Chantrasmi, Tonkid ;
Iaccarino, Gianluca .
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2012, 2 (02) :125-143
[7]   ACTIVE SUBSPACE METHODS IN THEORY AND PRACTICE: APPLICATIONS TO KRIGING SURFACES [J].
Constantine, Paul G. ;
Dow, Eric ;
Wang, Qiqi .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2014, 36 (04) :A1500-A1524
[8]  
Crocco L., 1956, TECH REP
[9]  
Culick FE, 2006, RTO AGARDOGRAPH
[10]   THE CALCULATION OF THERMOACOUSTIC OSCILLATIONS [J].
DOWLING, AP .
JOURNAL OF SOUND AND VIBRATION, 1995, 180 (04) :557-581