Boundary-layer approach to high-frequency diffraction by a jump of curvature

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Boundary-layer approach to high-frequency diffraction by a jump of curvature. / Zlobina, Ekaterina A.; Kiselev, Aleksei P.

In: Wave Motion, Vol. 96, 102571, 07.2020.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{f3045538748147f1a607ad634f0ae699,

title = "Boundary-layer approach to high-frequency diffraction by a jump of curvature",

abstract = "A systematic boundary-layer approach is for the first time applied to diffraction of a high-frequency plane wave by a contour with a jump of curvature. Assuming that the incident wave is non-tangent, we present a detailed description of the outgoing wavefield within a boundary layer surrounding the point of non-smoothness of the contour. This allows us to describe the wavefield within a transition zone surrounding the limit ray in terms of the parabolic cylinder function D−3 which has not been previously encountered in high-frequency diffraction problems.",

keywords = "Boundary layer method, Diffraction, High-frequency asymptotics, Non-smooth obstacles",

author = "Zlobina, {Ekaterina A.} and Kiselev, {Aleksei P.}",

note = "Funding Information: We are indebted to the referees for their numerous suggestions towards improving this paper. The research was supported by the RFBR, Russia grant 20-01-00627 . Publisher Copyright: {\textcopyright} 2020 Elsevier B.V. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

month = jul,

doi = "10.1016/j.wavemoti.2020.102571",

language = "English",

volume = "96",

journal = "Wave Motion",

issn = "0165-2125",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Boundary-layer approach to high-frequency diffraction by a jump of curvature

AU - Zlobina, Ekaterina A.

AU - Kiselev, Aleksei P.

N1 - Funding Information: We are indebted to the referees for their numerous suggestions towards improving this paper. The research was supported by the RFBR, Russia grant 20-01-00627 . Publisher Copyright: © 2020 Elsevier B.V. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/7

Y1 - 2020/7

N2 - A systematic boundary-layer approach is for the first time applied to diffraction of a high-frequency plane wave by a contour with a jump of curvature. Assuming that the incident wave is non-tangent, we present a detailed description of the outgoing wavefield within a boundary layer surrounding the point of non-smoothness of the contour. This allows us to describe the wavefield within a transition zone surrounding the limit ray in terms of the parabolic cylinder function D−3 which has not been previously encountered in high-frequency diffraction problems.

AB - A systematic boundary-layer approach is for the first time applied to diffraction of a high-frequency plane wave by a contour with a jump of curvature. Assuming that the incident wave is non-tangent, we present a detailed description of the outgoing wavefield within a boundary layer surrounding the point of non-smoothness of the contour. This allows us to describe the wavefield within a transition zone surrounding the limit ray in terms of the parabolic cylinder function D−3 which has not been previously encountered in high-frequency diffraction problems.

KW - Boundary layer method

KW - Diffraction

KW - High-frequency asymptotics

KW - Non-smooth obstacles

UR - http://www.scopus.com/inward/record.url?scp=85083690739&partnerID=8YFLogxK

U2 - 10.1016/j.wavemoti.2020.102571

DO - 10.1016/j.wavemoti.2020.102571

M3 - Article

AN - SCOPUS:85083690739

VL - 96

JO - Wave Motion

JF - Wave Motion

SN - 0165-2125

M1 - 102571

ER -

ID: 73297947