File Download
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1063/1.1429962
- Scopus: eid_2-s2.0-0036470511
- WOS: WOS:000173316900029
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Transcritical flow of a stratified fluid: The forced extended Korteweg-de Vries model
Title | Transcritical flow of a stratified fluid: The forced extended Korteweg-de Vries model |
---|---|
Authors | |
Keywords | Physics |
Issue Date | 2002 |
Publisher | American Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf |
Citation | Physics of Fluids, 2002, v. 14 n. 2, p. 755-774 How to Cite? |
Abstract | Transcritical, or resonant, flow of a stratified fluid over an obstacle is studied using a forced extended Korteweg-de Vries model. This model is particularly relevant for a two-layer fluid when the layer depths are near critical, but can also be useful in other similar circumstances. Both quadratic and cubic nonlinearities are present and they are balanced by third-order dispersion. We consider both possible signs for the cubic nonlinear term but emphasize the less-studied case when the cubic nonlinear term and the dispersion term have the same-signed coefficients. In this case, our numerical computations show that two kinds of solitary waves are found in certain parameter regimes. One kind is similar to those of the well-known forced Korteweg-de Vries model and occurs when the cubic nonlinear term is rather small, while the other kind is irregularly generated waves of variable amplitude, which may continually interact. To explain this phenomenon, we develop a hydraulic theory in which the dispersion term in the model is omitted. This theory can predict the occurence of upstream and downstream undular bores, and these predictions are found to agree quite well with the numerical computations. © 2002 American Institute of Physics. |
Persistent Identifier | http://hdl.handle.net/10722/43038 |
ISSN | 2023 Impact Factor: 4.1 2023 SCImago Journal Rankings: 1.050 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Grimshaw, RHJ | en_HK |
dc.contributor.author | Chan, KH | en_HK |
dc.contributor.author | Chow, KW | en_HK |
dc.date.accessioned | 2007-03-23T04:37:24Z | - |
dc.date.available | 2007-03-23T04:37:24Z | - |
dc.date.issued | 2002 | en_HK |
dc.identifier.citation | Physics of Fluids, 2002, v. 14 n. 2, p. 755-774 | - |
dc.identifier.issn | 1070-6631 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/43038 | - |
dc.description.abstract | Transcritical, or resonant, flow of a stratified fluid over an obstacle is studied using a forced extended Korteweg-de Vries model. This model is particularly relevant for a two-layer fluid when the layer depths are near critical, but can also be useful in other similar circumstances. Both quadratic and cubic nonlinearities are present and they are balanced by third-order dispersion. We consider both possible signs for the cubic nonlinear term but emphasize the less-studied case when the cubic nonlinear term and the dispersion term have the same-signed coefficients. In this case, our numerical computations show that two kinds of solitary waves are found in certain parameter regimes. One kind is similar to those of the well-known forced Korteweg-de Vries model and occurs when the cubic nonlinear term is rather small, while the other kind is irregularly generated waves of variable amplitude, which may continually interact. To explain this phenomenon, we develop a hydraulic theory in which the dispersion term in the model is omitted. This theory can predict the occurence of upstream and downstream undular bores, and these predictions are found to agree quite well with the numerical computations. © 2002 American Institute of Physics. | en_HK |
dc.format.extent | 977424 bytes | - |
dc.format.extent | 26624 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | application/msword | - |
dc.language | eng | en_HK |
dc.publisher | American Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf | en_HK |
dc.relation.ispartof | Physics of Fluids | en_HK |
dc.rights | Copyright 2002 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Physics of Fluids, 2002, v. 14 n. 2, p. 755-774 and may be found at https://doi.org/10.1063/1.1429962 | - |
dc.subject | Physics | en_HK |
dc.title | Transcritical flow of a stratified fluid: The forced extended Korteweg-de Vries model | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1070-6631&volume=14&issue=2&spage=755&epage=774&date=2002&atitle=Transcritical+flow+of+a+stratified+fluid:+The+forced+extended+Korteweg–de+Vries+model | en_HK |
dc.identifier.email | Chow, KW:kwchow@hku.hk | en_HK |
dc.identifier.authority | Chow, KW=rp00112 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1063/1.1429962 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0036470511 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0036470511&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 14 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 755 | en_HK |
dc.identifier.epage | 774 | en_HK |
dc.identifier.isi | WOS:000173316900029 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Grimshaw, RHJ=35462748600 | en_HK |
dc.identifier.scopusauthorid | Chan, KH=7406034305 | en_HK |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_HK |
dc.identifier.issnl | 1070-6631 | - |