Efficient numerical simulation of stochastic internal-wave-induced sound-speed perturbation fields

J. A. Colosi, Michael G Brown

Research output: Contribution to journalArticle

102 Citations (Scopus)

Abstract

An efficient method is presented to numerically simulate stochastic internal-wave-induced sound-speed perturbation fields in deep ocean environments. The sound-speed perturbation field is represented as an internal-wave eigenfunction expansion in which WKB amplitude scaling and stretching of the depth coordinate are exploited. Individual realizations of the sound-speed perturbation field are constructed by evaluating a multidimensional fast Fourier transform of a complex-valued function whose modulus has a known simple form and whose phase is random. Approximations made are shown to be consistent with approximations built into the Garrett- Munk internal-wave spectrum, which is the starting point of this analysis. Both time-varying internal-wave fields in three space dimensions and frozen fields in a vertical plane are considered.

Original languageEnglish (US)
Pages (from-to)2232-2235
Number of pages4
JournalJournal of the Acoustical Society of America
Volume103
Issue number4
DOIs
StatePublished - 1998
Externally publishedYes

Fingerprint

internal waves
perturbation
acoustics
simulation
approximation
oceans
eigenvectors
scaling
expansion
Simulation
Sound
Waves
Approximation

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

Efficient numerical simulation of stochastic internal-wave-induced sound-speed perturbation fields. / Colosi, J. A.; Brown, Michael G.

In: Journal of the Acoustical Society of America, Vol. 103, No. 4, 1998, p. 2232-2235.

Research output: Contribution to journalArticle

@article{3520120cc7f14dd79a3af2818f7a1f50,
title = "Efficient numerical simulation of stochastic internal-wave-induced sound-speed perturbation fields",
abstract = "An efficient method is presented to numerically simulate stochastic internal-wave-induced sound-speed perturbation fields in deep ocean environments. The sound-speed perturbation field is represented as an internal-wave eigenfunction expansion in which WKB amplitude scaling and stretching of the depth coordinate are exploited. Individual realizations of the sound-speed perturbation field are constructed by evaluating a multidimensional fast Fourier transform of a complex-valued function whose modulus has a known simple form and whose phase is random. Approximations made are shown to be consistent with approximations built into the Garrett- Munk internal-wave spectrum, which is the starting point of this analysis. Both time-varying internal-wave fields in three space dimensions and frozen fields in a vertical plane are considered.",
author = "Colosi, {J. A.} and Brown, {Michael G}",
year = "1998",
doi = "10.1121/1.421381",
language = "English (US)",
volume = "103",
pages = "2232--2235",
journal = "Journal of the Acoustical Society of America",
issn = "0001-4966",
publisher = "Acoustical Society of America",
number = "4",

}

TY - JOUR

T1 - Efficient numerical simulation of stochastic internal-wave-induced sound-speed perturbation fields

AU - Colosi, J. A.

AU - Brown, Michael G

PY - 1998

Y1 - 1998

N2 - An efficient method is presented to numerically simulate stochastic internal-wave-induced sound-speed perturbation fields in deep ocean environments. The sound-speed perturbation field is represented as an internal-wave eigenfunction expansion in which WKB amplitude scaling and stretching of the depth coordinate are exploited. Individual realizations of the sound-speed perturbation field are constructed by evaluating a multidimensional fast Fourier transform of a complex-valued function whose modulus has a known simple form and whose phase is random. Approximations made are shown to be consistent with approximations built into the Garrett- Munk internal-wave spectrum, which is the starting point of this analysis. Both time-varying internal-wave fields in three space dimensions and frozen fields in a vertical plane are considered.

AB - An efficient method is presented to numerically simulate stochastic internal-wave-induced sound-speed perturbation fields in deep ocean environments. The sound-speed perturbation field is represented as an internal-wave eigenfunction expansion in which WKB amplitude scaling and stretching of the depth coordinate are exploited. Individual realizations of the sound-speed perturbation field are constructed by evaluating a multidimensional fast Fourier transform of a complex-valued function whose modulus has a known simple form and whose phase is random. Approximations made are shown to be consistent with approximations built into the Garrett- Munk internal-wave spectrum, which is the starting point of this analysis. Both time-varying internal-wave fields in three space dimensions and frozen fields in a vertical plane are considered.

UR - http://www.scopus.com/inward/record.url?scp=0031970272&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031970272&partnerID=8YFLogxK

U2 - 10.1121/1.421381

DO - 10.1121/1.421381

M3 - Article

VL - 103

SP - 2232

EP - 2235

JO - Journal of the Acoustical Society of America

JF - Journal of the Acoustical Society of America

SN - 0001-4966

IS - 4

ER -