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Wave-Vortex Interactions in Rotating, Stratified, and Compressible Flows.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Wave-Vortex Interactions in Rotating, Stratified, and Compressible Flows./
Author:	Thomas, Jim.
Description:	1 online resource (187 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.
Contained By:	Dissertation Abstracts International79-02B(E).
Subject:	Applied mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9780355407327

Wave-Vortex Interactions in Rotating, Stratified, and Compressible Flows.
Thomas, Jim.

Wave-Vortex Interactions in Rotating, Stratified, and Compressible Flows. - 1 online resource (187 pages)

Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

This thesis examines interactions between fast evolving waves and slow vortex fields in the context of rapidly rotating, strongly stratified and weakly compressible flows. At the linear level, waves posses no vorticity (or potential vorticity which is the relevant quantity for rotating and stratified flows). Further, from a mathematical point of view, linear wave evolution equations are hyperbolic in nature with finite propagation speeds while vortex evolution is often governed by elliptic equations implying action at a distance. Weakly nonlinear interactions between these two fields are investigated in this thesis for a series of physically motivated problems. Theoretical analysis takes advantage of time scale separation between these two fields. However, no spatial scale separation is assumed between the wave and the vortex fields. The two fields, although can be separated at linear level, nonlinear interactions can result in interesting exchanges. Fast waves can be refracted and scattered by vortex fields while nonlinear wave interactions can contribute to vorticity and thus affect the behavior of the vortex fields, in comparison to scenarios where vortex dynamics evolves in the absence of waves. Weakly nonlinear interactions studied in this thesis take advantage of asymptotic analysis, which is the primary theoretical tool used to derive approximate reduced models for the interactions. Numerical integration of the governing equations (parent models) is used to validate and test the credibility of the asymptotic models.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355407327Subjects--Topical Terms:

1069907
Applied mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Wave-Vortex Interactions in Rotating, Stratified, and Compressible Flows.
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100 1 $a Thomas, Jim. $3 1180882
245 1 0 $a Wave-Vortex Interactions in Rotating, Stratified, and Compressible Flows.
264 0 $c 2017
300 $a 1 online resource (187 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.
500 $a Advisers: Oliver Buhler; Shafer Smith.
502 $a Thesis (Ph.D.) $c New York University $d 2017.
504 $a Includes bibliographical references
520 $a This thesis examines interactions between fast evolving waves and slow vortex fields in the context of rapidly rotating, strongly stratified and weakly compressible flows. At the linear level, waves posses no vorticity (or potential vorticity which is the relevant quantity for rotating and stratified flows). Further, from a mathematical point of view, linear wave evolution equations are hyperbolic in nature with finite propagation speeds while vortex evolution is often governed by elliptic equations implying action at a distance. Weakly nonlinear interactions between these two fields are investigated in this thesis for a series of physically motivated problems. Theoretical analysis takes advantage of time scale separation between these two fields. However, no spatial scale separation is assumed between the wave and the vortex fields. The two fields, although can be separated at linear level, nonlinear interactions can result in interesting exchanges. Fast waves can be refracted and scattered by vortex fields while nonlinear wave interactions can contribute to vorticity and thus affect the behavior of the vortex fields, in comparison to scenarios where vortex dynamics evolves in the absence of waves. Weakly nonlinear interactions studied in this thesis take advantage of asymptotic analysis, which is the primary theoretical tool used to derive approximate reduced models for the interactions. Numerical integration of the governing equations (parent models) is used to validate and test the credibility of the asymptotic models.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 1069907
650 4 $a Physical oceanography. $3 1178843
650 4 $a Acoustics. $3 670692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0364
690 $a 0415
690 $a 0986
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a New York University. $b Mathematics. $3 1180487
773 0 $t Dissertation Abstracts International $g 79-02B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10615975 $z click for full text (PQDT)