Aeroacoustic catastrophes: upstream cusp beaming in Lilley's equation

DOI10.1098/rspa.2016.0880zbMath1404.76242OpenAlexW2616448634WikidataQ52384396 ScholiaQ52384396MaRDI QIDQ4647213

J. T. Stone, R. H. Self, C. J. Howls

Publication date: 4 January 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2016.0880

zbMATH Keywords

asymptoticscausticssubsonic aeroacousticscomplex raysLilley's equationcone of silence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05)

Related Items (max. 100)

Cones of silence, complex rays and catastrophes: high-frequency flow–acoustic interaction effects ⋮ Three-dimensional capillary waves due to a submerged source with small surface tension ⋮ Capturing the cascade: a transseries approach to delayed bifurcations

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rays, waves and asymptotics
• The asymptotic quasinormal mode spectrum of non-rotating black holes
• On the Theory of Complex Rays
• Caustics in cylindrical ducts
• On the Development of Caustics in Shear Flows Over Rigid Walls
• High frequency sound emission from moving point multipole sources embedded in arbitrary transversely sheared mean flows
• PHASE-INTEGRAL METHODS I
• On sound generated aerodynamically I. General theory
• On sound generated aerodynamically II. Turbulence as a source of sound
• Focusing of weak acoustic shock waves at a caustic cusp.

This page was built for publication: Aeroacoustic catastrophes: upstream cusp beaming in Lilley's equation