2020-04-05T09:36:31Z
http://digital.csic.es/dspace-oai/request
oai:digital.csic.es:10261/21739
2010-02-28T23:00:00Z
com_10261_32
com_10261_4
col_10261_285
Vanhille, Christian
Campos-Pozuelo, CleofĂ©
2010-03-01T09:48:20Z
2010-03-01T09:48:20Z
2004-07
Journal Acoustical Society of America 116(1): 194-200 (2004)
0001-4966
http://hdl.handle.net/10261/21739
10.1121/1.1760798
In this paper the behavior of strongly nonlinear waves in two-dimensional resonators filled with thermoviscous fluid is studied. For this purpose a set of differential equations, written in Lagrangian coordinates, is proposed and a time-domain numerical scheme is developed for solving them. Full nonlinear equations are derived from the conservation laws and state equation by assuming an irrotational fluid. Auxiliary conditions are written by considering a rigid-walled cavity, excitation at some points of the boundary, and rest at the outset. Finite differences are applied in the space and time domains, and lead to an implicit scheme. The numerical model solves the problem in terms of displacement vector field. The pressure field is then obtained from the displacement values. The algorithm allows us to analyze the evolution of the behavior of complex standing waves. The nonlinear characteristics of standing waves, well known in one-dimensional chambers, are now apparent in two-dimensional resonators by means of this new computational model. Some numerical experiments are carried out, a validation of the model is achieved, and results are given at a complex mode for which plane wave approximation is not appropriate. Several aspects of the nonlinear pressure field inside two-dimensional resonators are presented, such as harmonic distortion and nonlinear attenuation effects. In particular the quasi-standing character of such waves is detected and described. The effect of redistribution of rms pressure inside a two-dimensional cavity is commented.
eng
closedAccess
Conservation laws
Viscosity
Differential equations
Finite difference time-domain analysis
Nonlinear acoustics
Numerical simulation of two-dimensional nonlinear standing acoustic waves
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