Abstract
The propagation of large nonlinear bounded sound beams in inviscid fluids is studied by means of the method of renormalization. Starting from a nonuniform quasilinear expansion of a solution of the Khokhlov–Zabolotskaya equation for a Gaussian source, a straining of the retarded time is introduced, which leads to a uniform approximation. The main point is the choice of a nonlinear phase shift, which yields a single smooth continuous representation for the wave, both before and beyond the shock formation point. A computation of the harmonics shows the asymmetrical distortion of the wave profile due to the coupling between nonlinearity and diffraction. A comparison with the results of a finite-difference numerical algorithm turns out favorable. The method is then extended to general plane sources.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
