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Article: Steady transcritical flow over an obstacle: Parametric map of solutions of the forced extended Korteweg-de Vries equation
| Title | Steady transcritical flow over an obstacle: Parametric map of solutions of the forced extended Korteweg-de Vries equation | ||||||
|---|---|---|---|---|---|---|---|
| Authors | |||||||
| Keywords | Extended korteweg-de vries equation Negative polarity Nonlinear terms Steady solution Stratified fluid | ||||||
| Issue Date | 2011 | ||||||
| Publisher | American Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf | ||||||
| Citation | Physics of Fluids, 2011, v. 23 n. 4, article no. 046602 How to Cite? | ||||||
| Abstract | Transcritical flow of a stratified fluid over an obstacle is often modeled by the forced Korteweg-de Vries equation, which describes a balance among weak nonlinearity, weak dispersion, and small forcing effects. However, in some special circumstances, it is necessary to add an additional cubic nonlinear term, so that the relevant model is the forced extended Korteweg-de Vries equation. Here we seek steady solutions with constant, but different amplitudes upstream and downstream of the forcing region. Our main interest is in the case when the forcing has negative polarity, which represents a hole. The effects of the width of the hole and the amplitude of the hole on these steady solutions are then investigated. © 2011 American Institute of Physics. | ||||||
| Persistent Identifier | http://hdl.handle.net/10722/145664 | ||||||
| ISSN | 2021 Impact Factor: 4.980 2020 SCImago Journal Rankings: 1.188 | ||||||
| ISI Accession Number ID |
Funding Information: Partial financial support has been provided by the Research Grants Council Contract No. HKU 7120/08E and the University of Hong Kong Seed Funding Program for Basic Research Grant No. 200911159076. | ||||||
| References | |||||||
| Grants |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Ee, BK | en_HK |
| dc.contributor.author | Grimshaw, RHJ | en_HK |
| dc.contributor.author | Chow, KW | en_HK |
| dc.contributor.author | Zhang, DH | en_HK |
| dc.date.accessioned | 2012-02-29T04:03:47Z | - |
| dc.date.available | 2012-02-29T04:03:47Z | - |
| dc.date.issued | 2011 | en_HK |
| dc.identifier.citation | Physics of Fluids, 2011, v. 23 n. 4, article no. 046602 | - |
| dc.identifier.issn | 1070-6631 | en_HK |
| dc.identifier.uri | http://hdl.handle.net/10722/145664 | - |
| dc.description.abstract | Transcritical flow of a stratified fluid over an obstacle is often modeled by the forced Korteweg-de Vries equation, which describes a balance among weak nonlinearity, weak dispersion, and small forcing effects. However, in some special circumstances, it is necessary to add an additional cubic nonlinear term, so that the relevant model is the forced extended Korteweg-de Vries equation. Here we seek steady solutions with constant, but different amplitudes upstream and downstream of the forcing region. Our main interest is in the case when the forcing has negative polarity, which represents a hole. The effects of the width of the hole and the amplitude of the hole on these steady solutions are then investigated. © 2011 American Institute of Physics. | en_HK |
| dc.language | eng | - |
| 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 2011 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, 2011, v. 23 n. 4, article no. 046602 and may be found at https://doi.org/10.1063/1.3582523 | - |
| dc.subject | Extended korteweg-de vries equation | - |
| dc.subject | Negative polarity | - |
| dc.subject | Nonlinear terms | - |
| dc.subject | Steady solution | - |
| dc.subject | Stratified fluid | - |
| dc.title | Steady transcritical flow over an obstacle: Parametric map of solutions of the forced extended Korteweg-de Vries equation | en_HK |
| dc.type | Article | 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 | - |
| dc.identifier.doi | 10.1063/1.3582523 | en_HK |
| dc.identifier.scopus | eid_2-s2.0-79955424670 | en_HK |
| dc.identifier.hkuros | 185516 | - |
| dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-79955424670&selection=ref&src=s&origin=recordpage | en_HK |
| dc.identifier.volume | 23 | en_HK |
| dc.identifier.issue | 4 | en_HK |
| dc.identifier.spage | article no. 046602 | - |
| dc.identifier.epage | article no. 046602 | - |
| dc.identifier.isi | WOS:000290050000041 | - |
| dc.publisher.place | United States | en_HK |
| dc.relation.project | Competing nonlinearities in systems of hydrodynamic waves | - |
| dc.identifier.scopusauthorid | Ee, BK=6603756114 | en_HK |
| dc.identifier.scopusauthorid | Grimshaw, RHJ=35462748600 | en_HK |
| dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_HK |
| dc.identifier.scopusauthorid | Zhang, DH=23112070200 | en_HK |
| dc.identifier.issnl | 1070-6631 | - |