% Nefes documentation — single bibliography. % % Every scientific claim in the docs cites a primary source here or derives the result in place. % This is the working skeleton: the entries below are the load-bearing references named in the % documentation plan; volume/page fields are to be verified against the primary sources during % the integration pass. Novel contributions of the present work are marked as such in the text, % not cited here. % --------------------------------------------------------------------------- % Complex-step differentiation (exact Jacobians) % --------------------------------------------------------------------------- @article{lyness_moler_1967, author = {Lyness, J. N. and Moler, C. B.}, title = {Numerical Differentiation of Analytic Functions}, journal = {SIAM Journal on Numerical Analysis}, volume = {4}, number = {2}, pages = {202--210}, year = {1967}, } @article{squire_trapp_1998, author = {Squire, William and Trapp, George}, title = {Using Complex Variables to Estimate Derivatives of Real Functions}, journal = {SIAM Review}, volume = {40}, number = {1}, pages = {110--112}, year = {1998}, } @article{martins_2003, author = {Martins, Joaquim R. R. A. and Sturdza, Peter and Alonso, Juan J.}, title = {The Complex-Step Derivative Approximation}, journal = {ACM Transactions on Mathematical Software}, volume = {29}, number = {3}, pages = {245--262}, year = {2003}, } % --------------------------------------------------------------------------- % Nonlinear solve: damping, complementarity, matrix updates % --------------------------------------------------------------------------- @article{marquardt_1963, author = {Marquardt, Donald W.}, title = {An Algorithm for Least-Squares Estimation of Nonlinear Parameters}, journal = {Journal of the Society for Industrial and Applied Mathematics}, volume = {11}, number = {2}, pages = {431--441}, year = {1963}, } @article{fischer_1992, author = {Fischer, Andreas}, title = {A Special Newton-Type Optimization Method}, journal = {Optimization}, volume = {24}, number = {3--4}, pages = {269--284}, year = {1992}, } @article{hager_1989, author = {Hager, William W.}, title = {Updating the Inverse of a Matrix}, journal = {SIAM Review}, volume = {31}, number = {2}, pages = {221--239}, year = {1989}, } % --------------------------------------------------------------------------- % Numerical continuation (parameter continuation / warm-started stages) % --------------------------------------------------------------------------- @book{allgower_georg_1990, author = {Allgower, Eugene L. and Georg, Kurt}, title = {Numerical Continuation Methods: An Introduction}, series = {Springer Series in Computational Mathematics}, volume = {13}, publisher = {Springer-Verlag}, address = {Berlin}, year = {1990}, } % --------------------------------------------------------------------------- % Network flow (mean-flow benchmark) % --------------------------------------------------------------------------- @article{greyvenstein_laurie_1994, author = {Greyvenstein, G. P. and Laurie, D. P.}, title = {A Segregated {CFD} Approach to Pipe Network Analysis}, journal = {International Journal for Numerical Methods in Engineering}, volume = {37}, number = {21}, pages = {3685--3705}, year = {1994}, } @incollection{todini_pilati_1988, author = {Todini, Ezio and Pilati, S.}, title = {A Gradient Algorithm for the Analysis of Pipe Networks}, booktitle = {Computer Applications in Water Supply, Volume 1: Systems Analysis and Simulation}, editor = {Coulbeck, B. and Orr, C.-H.}, publisher = {Research Studies Press}, address = {Taunton, UK}, pages = {1--20}, year = {1988}, } % --------------------------------------------------------------------------- % Duct acoustics, nozzle response, indirect (entropy / compositional) noise % --------------------------------------------------------------------------- @book{dokumaci_2021, author = {Dokumac{\i}, Erkan}, title = {Duct Acoustics: Fundamentals and Applications to Mufflers and Silencers}, publisher = {Cambridge University Press}, year = {2021}, } @techreport{parrott_1973, author = {Parrott, Tony L.}, title = {An Improved Method for Design of Expansion-Chamber Mufflers with Application to an Operational Helicopter}, institution = {NASA Langley Research Center}, number = {NASA TN D-7309}, year = {1973}, } @article{myers_1991, author = {Myers, M. K.}, title = {Transport of Energy by Disturbances in Arbitrary Steady Flows}, journal = {Journal of Fluid Mechanics}, volume = {226}, pages = {383--400}, year = {1991}, } @article{marble_candel_1977, author = {Marble, F. E. and Candel, S. M.}, title = {Acoustic Disturbance from Gas Non-Uniformities Convected Through a Nozzle}, journal = {Journal of Sound and Vibration}, volume = {55}, number = {2}, pages = {225--243}, year = {1977}, } @article{duran_moreau_2013, author = {Duran, Ignacio and Moreau, St{\'e}phane}, title = {Solution of the Quasi-One-Dimensional Linearized {E}uler Equations Using Flow Invariants and the {M}agnus Expansion}, journal = {Journal of Fluid Mechanics}, volume = {723}, pages = {190--231}, year = {2013}, } @article{stow_dowling_2001, author = {Stow, Simon R. and Dowling, Ann P.}, title = {Thermoacoustic Oscillations in an Annular Combustor}, journal = {ASME Turbo Expo}, note = {GT-2001-0037}, year = {2001}, } @article{magri_2016, author = {Magri, Luca and O'Brien, Jeffrey and Ihme, Matthias}, title = {Compositional Inhomogeneities as a Source of Indirect Combustion Noise}, journal = {Journal of Fluid Mechanics}, volume = {799}, pages = {R4}, year = {2016}, } @article{dedomenico_2019, author = {De Domenico, Francesca and Rolland, Erwan O. and Hochgreb, Simone}, title = {A Generalised Model for Acoustic and Entropic Transfer Function of Nozzles with Losses}, journal = {Journal of Sound and Vibration}, volume = {440}, pages = {212--230}, year = {2019}, } % --------------------------------------------------------------------------- % Thermoacoustic stability: flame response, Rayleigh criterion, Nyquist % --------------------------------------------------------------------------- @article{rayleigh_1878, author = {Rayleigh, {Lord}}, title = {The Explanation of Certain Acoustical Phenomena}, journal = {Nature}, volume = {18}, pages = {319--321}, year = {1878}, } @book{crocco_cheng_1956, author = {Crocco, Luigi and Cheng, Sin-I}, title = {Theory of Combustion Instability in Liquid Propellant Rocket Motors}, series = {AGARDograph No. 8}, publisher = {Butterworths Scientific Publications}, year = {1956}, } @article{fleifil_1996, author = {Fleifil, M. and Annaswamy, A. M. and Ghoneim, Z. A. and Ghoniem, A. F.}, title = {Response of a Laminar Premixed Flame to Flow Oscillations: A Kinematic Model and Thermoacoustic Instability Results}, journal = {Combustion and Flame}, volume = {106}, number = {4}, pages = {487--510}, year = {1996}, doi = {10.1016/0010-2180(96)00049-1}, } @article{dowling_1997, author = {Dowling, Ann P.}, title = {Nonlinear Self-Excited Oscillations of a Ducted Flame}, journal = {Journal of Fluid Mechanics}, volume = {346}, pages = {271--290}, year = {1997}, doi = {10.1017/S0022112097006484}, } @article{palies_2011, author = {Palies, Paul and Durox, Daniel and Schuller, Thierry and Candel, S{\'e}bastien}, title = {Nonlinear Combustion Instability Analysis Based on the Flame Describing Function Applied to Turbulent Premixed Swirling Flames}, journal = {Combustion and Flame}, volume = {158}, number = {10}, pages = {1980--1991}, year = {2011}, doi = {10.1016/j.combustflame.2011.02.012}, } @article{komarek_polifke_2010, author = {Komarek, Thomas and Polifke, Wolfgang}, title = {Impact of Swirl Fluctuations on the Flame Response of a Perfectly Premixed Swirl Burner}, journal = {Journal of Engineering for Gas Turbines and Power}, volume = {132}, number = {6}, pages = {061503}, year = {2010}, doi = {10.1115/1.4000127}, } @article{emmert_2017, author = {Emmert, Thomas and Bomberg, Sebastian and Jaensch, Stefan and Polifke, Wolfgang}, title = {Acoustic and Intrinsic Thermoacoustic Modes of a Premixed Combustor}, journal = {Proceedings of the Combustion Institute}, volume = {36}, number = {3}, pages = {3835--3842}, year = {2017}, doi = {10.1016/j.proci.2016.08.002}, } @article{bomberg_2015, author = {Bomberg, Sebastian and Emmert, Thomas and Polifke, Wolfgang}, title = {Thermal Versus Acoustic Response of Velocity Sensitive Premixed Flames}, journal = {Proceedings of the Combustion Institute}, volume = {35}, number = {3}, pages = {3185--3192}, year = {2015}, doi = {10.1016/j.proci.2014.07.032}, } @article{polifke_2020, author = {Polifke, Wolfgang}, title = {Modeling and Analysis of Premixed Flame Dynamics by Means of Distributed Time Delays}, journal = {Progress in Energy and Combustion Science}, volume = {79}, pages = {100845}, year = {2020}, doi = {10.1016/j.pecs.2020.100845}, } @book{lieuwen_2012, author = {Lieuwen, Tim C.}, title = {Unsteady Combustor Physics}, publisher = {Cambridge University Press}, year = {2012}, } @article{nyquist_1932, author = {Nyquist, Harry}, title = {Regeneration Theory}, journal = {Bell System Technical Journal}, volume = {11}, number = {1}, pages = {126--147}, year = {1932}, } % --------------------------------------------------------------------------- % Eigenvalue problem and analytic continuation (acoustic analyses) % --------------------------------------------------------------------------- @article{beyn_2012, author = {Beyn, Wolf-J{\"u}rgen}, title = {An Integral Method for Solving Nonlinear Eigenvalue Problems}, journal = {Linear Algebra and its Applications}, volume = {436}, number = {10}, pages = {3839--3863}, year = {2012}, } @article{nakatsukasa_2018, author = {Nakatsukasa, Yuji and S{\`e}te, Olivier and Trefethen, Lloyd N.}, title = {The {AAA} Algorithm for Rational Approximation}, journal = {SIAM Journal on Scientific Computing}, volume = {40}, number = {3}, pages = {A1494--A1522}, year = {2018}, } % --------------------------------------------------------------------------- % Thermochemistry: equilibrium and thermodynamic data (nefes.thermo) % --------------------------------------------------------------------------- @techreport{gordon_mcbride_1994, author = {Gordon, Sanford and McBride, Bonnie J.}, title = {Computer Program for Calculation of Complex Chemical Equilibrium Compositions and Applications}, institution = {NASA}, number = {Reference Publication 1311}, year = {1994}, } @techreport{mcbride_2002, author = {McBride, Bonnie J. and Zehe, Michael J. and Gordon, Sanford}, title = {{NASA} {G}lenn Coefficients for Calculating Thermodynamic Properties of Individual Species}, institution = {NASA}, number = {TP-2002-211556}, year = {2002}, } @misc{cantera_2023, author = {Goodwin, David G. and Moffat, Harry K. and Schoegl, Ingmar and Speth, Raymond L. and Weber, Bryan W.}, title = {Cantera: An Object-Oriented Software Toolkit for Chemical Kinetics, Thermodynamics, and Transport Processes}, note = {Version 3.0.0}, year = {2023}, doi = {10.5281/zenodo.8137090}, } % --------------------------------------------------------------------------- % Cross-code verification: reference network solvers and the cases they publish % --------------------------------------------------------------------------- @techreport{li_oscilos_2017, author = {Li, Jingxuan and Yang, Dong and Luzzato, Charles and Morgans, Aimee S.}, title = {Open Source Combustion Instability Low Order Simulator ({OSCILOS}--Long) Technical Report}, institution = {Department of Mechanical Engineering, Imperial College London}, year = {2017}, note = {Last updated 9 June 2017}, url = {https://www.oscilos.com}, }