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- W2893340498 abstract "The governing equations of the acoustic problem are the compressible Euler equations. The discretization of these equations has to ensure that the acoustic waves are transported with non-dispersive and non-dissipative characteristics. In the present study numerical simulations of a standing acoustic wave are performed. Four different space discretization schemes are tested, namely, a second order finite-differences, a fourth order finitedifferences, a fourth order finite-differences compact scheme and a sixth order finite-differences compact scheme. The time integration is done with a fourth order Runge-Kutta scheme. The results obtained are compared with linearized analytical solutions. The influence of the dispersion on the simulation of a standing wave is analyzed. The results confirm that high order accuracy schemes can be more efficient for simulation of acoustic waves, especially the waves with high frequency." @default.
- W2893340498 created "2018-10-05" @default.
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- W2893340498 date "2006-07-31" @default.
- W2893340498 modified "2023-09-26" @default.
- W2893340498 title "ANALYSIS OF DISPERSION ERRORS IN ACOUSTIC WAVE SIMULATIONS" @default.
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- W2893340498 doi "https://doi.org/10.5380/reterm.v5i1.61663" @default.
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