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- W2022697885 abstract "A numerical method to compute shock wave propagation in uniform waveguides in 2-D and 3-D is presented. The solution is searched under the form of a modal solution of the Kuznetsov equation for which the modal amplitudes of the analytical linear modes are supposed to vary along the duct axis due to nonlinear interactions between the different modes and frequencies. This finally yields to a differential system on the mode amplitudes, which is solved numerically using a standard Runge-Kutta algorithm for ordinary differential equations after numerical truncation of the modal series. Examples are presented of the nonlinear evolution of the pressure field for a 2-D waveguide. One important 3-D application is the so-called “buzz-saw” noise occurring for high-bypass-ratio turbofan engines, when fan blade tip relative flows exceed the sound velocity. First results on 3-D simulations for nonlinear propagation of a saw-tooth waveform spiraling inside a hard-walled cylindrical will be presented. Extensions of the model to ducts with uniform flows or with liners (walls with impedance) will finally be discussed." @default.
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- W2022697885 date "2009-04-01" @default.
- W2022697885 modified "2023-09-25" @default.
- W2022697885 title "A nonlinear computational method for the propagation of shock waves in ducts: Application to buzz-saw noise." @default.
- W2022697885 doi "https://doi.org/10.1121/1.4783900" @default.
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