The aspects of the numerical modeling of acoustic oscillations of the pressure at large time scales
D.I.
Zaripov and N.I. Mikheev
Kazan Scientific Center, Russian Academy of Sciences, Kazan, Russia
E-mail: zaripov.d.i@mail.ru, n.miheev@mail.ru
Keywords: boundary condition, numerical scheme, circular channel, long channel, resonance, acoustic oscillations
Pages: 683–690
Abstract
The influence of properties of
first- and second-order accuracy finite-difference schemes and of the grid roughness
in the computational domain on the prediction of amplitude-frequency responses
of pressure oscillations is investigated within the framework of the problem of
steady-state oscillations in a semi-closed channel. It is shown that Godunov-type
first-order accuracy scheme underestimates the amplitude of high-frequency
oscillations relative to experimental data. Second-order accuracy Lax–Wendroff
scheme leads to qualitative coincidence of a trend of amplitude-frequency response with experimental data in terms
of the harmonics number even at a relatively coarse discretization of a
computational domain.
DOI: 10.1134/S0869864317050043
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