
14
7 M. Hamilton, Y. Ilinskii, and E. Zabolotskaya,
J Acoust Soc Am 113, 153 (2003).
8 M. Hamilton, Y. Ilinskii, and E. Zabolotskaya,
J Acoust Soc Am 114, 3092 (2003).
9 A. Y. Rednikov and S. S. Sadhal,
J Fluid Mech 667, 426 (2011).
10 P. B. Muller, M. Rossi, A. G. Marin, R. Barnkob, P. Augustsson,
T. Laurell, C. J. K¨ahler, and H. Bruus,
Phys Rev E 88, 023006 (2013).
11 P. B. Muller and H. Bruus,
Phys Rev E 90, 043016 (2014).
12 J. Lei, P. Glynne-Jones, and M. Hill,
Lab Chip 13, 2133 (2013).
13 J. Lei, M. Hill, and P. Glynne-Jones,
Lab Chip 14, 532 (2014).
14 W. L. Nyborg, J Acoust Soc Am 25, 68 (1953).
15 C. Lee and T. Wang, J Acoust Soc Am 85, 1081 (1989).
16 P. Hahn and J. Dual,
Physics of Fluids 27, 062005 (2015).
17 N. Nama, R. Barnkob, Z. Mao, C. J. K¨ahler, F. Costanzo,
and T. J. Huang, Lab Chip 15, 2700 (2015).
18 M. Hoyos and A. Castro, Ultrasonics 53, 70 (2013).
19 M. Antfolk, P. B. Muller, P. Augustsson, H. Bruus, and
T. Laurell, Lab Chip 14, 2791 (2014).
20 J. Wang and J. Dual, J. Phys. A: Math. Theor. 42,
285502 (2009).
21 A. D. Pierce, Acoustics (Acoustical Society of America,
Woodbury, 1991).
22 L. D. Landau and E. M. Lifshitz, Statistical Physics,
Part 1, 3rd ed., Vol. 5 (Butterworth-Heinemann, Oxford,
1980).
23 P. Augustsson, R. Barnkob, S. T.Wereley, H. Bruus, and
T. Laurell, Lab Chip 11, 4152 (2011).
24 COMSOL Multiphysics 4.4, www.comsol.com, (2013).
25 S. C. Brenner and L. R. Scott, The Mathematical Theory
of Finite Element Methods (Springer, 2008).
26 Comsol Multiphysics Reference Manual version 4.4 .
27 Matlab 2012a, www.mathworks.com, (2012).
28 See Supplemental Material at URL for Comsol
model files, both in a simple version
Muller2015 TimeDepAcoust simple.mph, and a full version
Muller2015 TimeDepAcoust full.mph, that allows
for sectioning in smaller time intervals using the supplied
Matlab script Muller2015 TimeDepAcoust full.m with
the functions AVGromb16PBM.m and polint.m.
29 Comsol Multiphysics Model Library,
“Nonlinear Acoustics — Modeling of the 1D Westervelt Equation,”
(2013).
30 H. Bruus, Lab Chip 12, 20 (2012).
31 W. H. Press, S. A. Teukolsky, W. T. Vetterling, and
B. P. Flannery, Numerical Recipies in C - The Art of
Scientific Computing, 2nd edition (Cambridge University
Press, 2002).
32 M. Ohlin, A. Christakou, T. Frisk, B. ¨O
nfelt, and
M. Wiklund, in Proc. 15th MicroTAS, 2 - 6 October
2011, Seattle (WA), USA, edited by J. Landers, A. Herr,
D. Juncker, N. Pamme, and J. Bienvenue (CBMS, 2011)
pp. 1612–1614.