Bibliography - edwardkort/WWIDesigner GitHub Wiki

The WIDesigner developers express our gratitude to the authors listed below for their contributions to our work.

WIDesigner uses a model for instrument bores that can be found in most modern acoustics texts, including:

• Neville H. Fletcher, Thomas D. Rossing, The Physics of Musical Instruments, New York: Springer Science+Business Media Inc., 2010.

• Antoine Chaigne, Jean Kergomard, Acoustique des instruments de musique, Belin, 2013.

WIDesigner uses a tonehole model derived from the following work:

• Antoine Lefebvre, Gary P. Scavone, "Characterization of woodwind instrument toneholes with the finite element method", J. Acoust. Soc. Am., 131:3153-3163.

• Antoine Lefebvre, "Computational Acoustic Methods for the Design of Woodwind Instruments", Ph.D. Thesis, McGill University, 2011.

• Antoine Lefebvre, Gary P. Scavone, "Refinements to the Model of a Single Woodwind Instrument Tonehole", Proc. 20th ISMA, 2010.

The model of loop gain, and of playing ranges in the whistle study model derives from the following work:

• Roman Auvray, Benoit Fabre, Pierre-Yves Lagree, "Regime change and oscillation thresholds in recorder-like instruments", J. Acoust. Soc. Am. 131 (2), February 2012.

• Patricio de la Cuadra, "The sound of oscillating air jets: Physics, modeling and simulation in flute-like instruments," Ph.D. thesis, Stanford University, 2005.

WIDesigner's global optimizers use a variant of the DIRECT global optimization method. DIRECT was first described in:

• D. R. Jones, C. D. Perttunen, and B. E. Stuckmann, "Lipschitzian optimization without the Lipschitz constant," J. Optimization Theory and Applications, vol. 79, p. 157 (1993).

Our implementation is adapted from that of Steven G. Johnson:

• Steven G. Johnson, "The NLopt nonlinear-optimization package," Available at http://ab-initio.mit.edu/wiki/index.php/NLopt_Algorithms#DIRECT_and_DIRECT-L.

• Steven G. Johnson, "cdirect re-implementation of the DIRECT and DIRECT-L algorithms," 20 May 2014. Available at https://github.com/stevengj/nlopt/tree/master/cdirect.

The DIRECT-C variant we use was inspired in part by the multi-level DIRECT-HD optimizer described in:

• Arash Tavassoli, Kambiz Haji Hajikolaei, Soheil Sadeqi, G. Gary Wang, and Erik Kjeang, "Modification of DIRECT for high-dimensional design problems," Engineering Optimization, 2013, Taylor and Francis, DOI:10.1080/0305215X.2013.800057

The model for the speed of sound and other physical properties of air derives from the following works:

• P.T. Tsilingiris, "Thermophysical and transport properties of humid air at temperature range between 0 and 100 C", Energy Conversion and Management 49 (2008) p.1098-1110.

• A. Picard, R.S. Davis, M. Glaser and K. Fujii, "Revised formula for the density of moist air (CIPM-2007)", Metrologia 45 (2008) p.149-155.

• F.J. McQuillan, J.R. Culham, M.M. Yovanovich, "Properties of Dry Air at One Atmosphere", UW/MHTL 8406 G-01, Microelectronics Heat Transfer Lab, University of Waterloo, June 1984.