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Wave-Vortex Interactions in Rotating...

Thomas, Jim.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Wave-Vortex Interactions in Rotating, Stratified, and Compressible Flows./
Author:	Thomas, Jim.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	187 p.
Notes:	Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.
Contained By:	Dissertation Abstracts International79-02B(E).
Subject:	Applied mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10615975
ISBN:	9780355407327

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

Wave-Vortex Interactions in Rotating, Stratified, and Compressible Flows. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 187 p.

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

Thesis (Ph.D.)--New York University, 2017.

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.

ISBN: 9780355407327Subjects--Topical Terms:

2122814
Applied mathematics.

Wave-Vortex Interactions in Rotating, Stratified, and Compressible Flows.
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245 1 0 $a Wave-Vortex Interactions in Rotating, Stratified, and Compressible Flows.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2017
300 $a 187 p.
500 $a Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.
500 $a Advisers: Oliver Buhler; Shafer Smith.
502 $a Thesis (Ph.D.)--New York University, 2017.
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.
590 $a School code: 0146.
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