Nonlinear Saturation Amplitude in Classical Planar Richtmyer–Meshkov Instability
The classical planar Richtmyer–Meshkov instability（RMI） at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order,and then according to definition of nonlinear saturation amplitude（NSA） in Rayleigh–Taylor instability（RTI）,the NSA i...
Saved in:
| Published in | Communications in theoretical physics Vol. 65; no. 4; pp. 523 - 526 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.04.2016
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0253-6102 1572-9494 |
| DOI | 10.1088/0253-6102/65/4/523 |
Cover
| Abstract | The classical planar Richtmyer–Meshkov instability（RMI） at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order,and then according to definition of nonlinear saturation amplitude（NSA） in Rayleigh–Taylor instability（RTI）,the NSA in planar RMI is obtained explicitly.It is found that the NSA in planar RMI is affected by the initial perturbation wavelength and the initial amplitude of the interface,while the effect of the initial amplitude of the interface on the NSA is less than that of the initial perturbation wavelength.Without marginal influence of the initial amplitude,the NSA increases linearly with wavelength.The NSA normalized by the wavelength in planar RMI is about 0.11,larger than that corresponding to RTI. |
|---|---|
| AbstractList | The classical planar Richtmyer-Meshkov instability (RMI) at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order, and then according to definition of nonlinear saturation amplitude (NSA) in Rayleigh-Taylor instability (RTI), the NSA in planar RMI is obtained explicitly. It is found that the NSA in planar RMI is affected by the initial perturbation wavelength and the initial amplitude of the interface, while the effect of the initial amplitude of the interface on the NSA is less than that of the initial perturbation wavelength. Without marginal influence of the initial amplitude, the NSA increases linearly with wavelength. The NSA normalized by the wavelength in planar RMI is about 0.11, larger than that corresponding to RTI. The classical planar Richtmyer–Meshkov instability（RMI） at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order,and then according to definition of nonlinear saturation amplitude（NSA） in Rayleigh–Taylor instability（RTI）,the NSA in planar RMI is obtained explicitly.It is found that the NSA in planar RMI is affected by the initial perturbation wavelength and the initial amplitude of the interface,while the effect of the initial amplitude of the interface on the NSA is less than that of the initial perturbation wavelength.Without marginal influence of the initial amplitude,the NSA increases linearly with wavelength.The NSA normalized by the wavelength in planar RMI is about 0.11,larger than that corresponding to RTI. |
| Author | 刘万海 王翔 蒋宏彬 马文芳 |
| AuthorAffiliation | Research Center of Computational Physics, Mianyang Normal University, Mianyang 621000, China School of Bailie Engineering and Technology, Lanzhou City University, Lanzhou 730070, China |
| Author_xml | – sequence: 1 fullname: 刘万海 王翔 蒋宏彬 马文芳 |
| BookMark | eNo9kL1OwzAURi1UJNrCCzBFTCwhtmM7zlhV_FQqPyowW05y0xoSu40TpG68A2_Ik5DSqtNdzvl0dUZoYJ0FhC4JviFYyghTHoeCYBoJHrGI0_gEDQlPaJiylA3Q8AicoZH3HxhjmggyRIsnZytjQTfBq267RrfG2WBSryvTdgUExgbTSntvcl0FL5W2Pbgw-aqtt9D8fv88gl99uq9gZn2rM9Nb23N0WurKw8XhjtH73e3b9CGcP9_PppN5mFMu2xCAFwlkLIZMQJ5RSoAmaYqJSEAKmdCSCIk5xnlZZpAksijKUhYxkzGhtPfG6Hq_u27cpgPfqtr4HKr-SXCdV0QSgRlPadyjdI_mjfO-gVKtG1PrZqsIVruAatdH7foowRVT_F-6OkgrZ5cbY5dHSwgpYsZZGv8B8ZVyKQ |
| Cites_doi | 10.1007/BF01015969 10.1002/cpa.3160130207 10.1103/PhysRevE.63.056303 10.1098/rspa.1950.0052 10.1063/1.871209 10.1017/S002211209500379X 10.1103/PhysRevLett.74.534 10.1063/1.868245 10.1063/1.873491 10.1103/PhysRevLett.71.2903 10.1063/1.4819765 10.1103/PhysRevE.58.4548 10.1103/PhysRevLett.71.3473 10.1063/1.1362529 10.1103/PhysRevE.67.026301 10.1103/PhysRevE.87.013006 10.7498/aps.52.1688 10.1063/1.872341 10.1017/S002211208800045X 10.1063/1.868391 10.1063/1.869202 10.1063/1.859603 10.1103/PhysRevE.69.036703 10.1063/1.3702063 |
| ContentType | Journal Article |
| DBID | 2RA 92L CQIGP ~WA AAYXX CITATION 7U5 8FD H8D L7M |
| DOI | 10.1088/0253-6102/65/4/523 |
| DatabaseName | 维普期刊资源整合服务平台 中文科技期刊数据库-CALIS站点 中文科技期刊数据库-7.0平台 中文科技期刊数据库- 镜像站点 CrossRef Solid State and Superconductivity Abstracts Technology Research Database Aerospace Database Advanced Technologies Database with Aerospace |
| DatabaseTitle | CrossRef Aerospace Database Solid State and Superconductivity Abstracts Technology Research Database Advanced Technologies Database with Aerospace |
| DatabaseTitleList | Aerospace Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Physics |
| DocumentTitleAlternate | Nonlinear Saturation Amplitude in Classical Planar Richtmyer–Meshkov Instability |
| EISSN | 1572-9494 |
| EndPage | 526 |
| ExternalDocumentID | 10_1088_0253_6102_65_4_523 668634549 |
| GroupedDBID | 02O 042 1JI 1WK 2B. 2C. 2RA 4.4 5B3 5GY 5VR 5VS 7.M 92E 92I 92L 92Q 93N AAGCD AAJIO AALHV AATNI ABHWH ABJNI ABQJV ACAFW ACGFS ACHIP AEFHF AENEX AFUIB AFYNE AHSEE AKPSB ALMA_UNASSIGNED_HOLDINGS ASPBG ATQHT AVWKF AZFZN BBWZM CCEZO CCVFK CEBXE CHBEP CJUJL CQIGP CRLBU CS3 CW9 DU5 E3Z EBS EDWGO EJD EMSAF EPQRW EQZZN FA0 FEDTE FRP HAK HVGLF IJHAN IOP IZVLO JCGBZ KNG KOT M45 N5L NS0 NT- NT. P2P PJBAE Q02 RIN RNS RO9 ROL RPA RW3 S3P SY9 TCJ TGP UCJ W28 ~WA -SA -S~ AAYXX ADEQX AEINN AOAED CAJEA CITATION Q-- U1G U5K 7U5 8FD H8D L7M |
| ID | FETCH-LOGICAL-c258t-ee5d7eb43eb6ecb221e27990167e86872f1680500cffbe778ddff8d3483122b43 |
| ISSN | 0253-6102 |
| IngestDate | Thu Oct 02 08:07:03 EDT 2025 Wed Oct 01 02:22:00 EDT 2025 Wed Feb 14 10:20:18 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 4 |
| Language | English |
| License | http://iopscience.iop.org/info/page/text-and-data-mining http://iopscience.iop.org/page/copyright |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c258t-ee5d7eb43eb6ecb221e27990167e86872f1680500cffbe778ddff8d3483122b43 |
| Notes | Wan-Hai Liu ,Xiang Wang , Hong-Bin Jiang,Wen-Fang Ma（1Research Center of Computational Physics, Mianyang Normal University, Mianyang 621000, China ;2School of Bailie Engineering and Technology, Lanzhou City University, Lanzhou 730070, China） Richtmyer–Meshkov instability nonlinear saturation amplitude perturbation expansion The classical planar Richtmyer–Meshkov instability（RMI） at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order,and then according to definition of nonlinear saturation amplitude（NSA） in Rayleigh–Taylor instability（RTI）,the NSA in planar RMI is obtained explicitly.It is found that the NSA in planar RMI is affected by the initial perturbation wavelength and the initial amplitude of the interface,while the effect of the initial amplitude of the interface on the NSA is less than that of the initial perturbation wavelength.Without marginal influence of the initial amplitude,the NSA increases linearly with wavelength.The NSA normalized by the wavelength in planar RMI is about 0.11,larger than that corresponding to RTI. 11-2592/O3 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| PQID | 1816045923 |
| PQPubID | 23500 |
| PageCount | 4 |
| ParticipantIDs | proquest_miscellaneous_1816045923 crossref_primary_10_1088_0253_6102_65_4_523 chongqing_primary_668634549 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2016-04-01 |
| PublicationDateYYYYMMDD | 2016-04-01 |
| PublicationDate_xml | – month: 04 year: 2016 text: 2016-04-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | Communications in theoretical physics |
| PublicationTitleAlternate | Communications in Theoretical Physics |
| PublicationYear | 2016 |
| References | 22 23 24 25 Wang L.F. (11) 2010; 90 26 27 28 Benjamin R. (14) 1993 Rayleigh L. (3) 1883; 14 10 15 16 17 18 19 1 2 Ye W.H. (12) 2003; 52 4 5 6 7 8 9 Aleshin A.N. (13) 1990; 35 20 21 |
| References_xml | – ident: 2 doi: 10.1007/BF01015969 – ident: 1 doi: 10.1002/cpa.3160130207 – ident: 25 doi: 10.1103/PhysRevE.63.056303 – ident: 4 doi: 10.1098/rspa.1950.0052 – ident: 6 doi: 10.1063/1.871209 – ident: 19 doi: 10.1017/S002211209500379X – ident: 20 doi: 10.1103/PhysRevLett.74.534 – ident: 7 doi: 10.1063/1.868245 – ident: 15 doi: 10.1063/1.873491 – ident: 18 doi: 10.1103/PhysRevLett.71.2903 – ident: 28 doi: 10.1063/1.4819765 – ident: 26 doi: 10.1103/PhysRevE.58.4548 – ident: 17 doi: 10.1103/PhysRevLett.71.3473 – ident: 16 doi: 10.1063/1.1362529 – ident: 24 doi: 10.1103/PhysRevE.67.026301 – ident: 27 doi: 10.1103/PhysRevE.87.013006 – volume: 52 start-page: 1688 issn: 0372-736X year: 2003 ident: 12 publication-title: Acta Phys. Sin. doi: 10.7498/aps.52.1688 – ident: 5 doi: 10.1063/1.872341 – ident: 8 doi: 10.1017/S002211208800045X – ident: 22 doi: 10.1063/1.868391 – volume: 90 issn: 0295-5075 year: 2010 ident: 11 publication-title: EPL – ident: 23 doi: 10.1063/1.869202 – ident: 9 doi: 10.1063/1.859603 – start-page: 92 year: 1993 ident: 14 publication-title: LANL report LA-UR – volume: 35 start-page: 159 year: 1990 ident: 13 publication-title: Sov. Phys. Dokl. – volume: 14 start-page: 170 issn: 0024-6115 year: 1883 ident: 3 publication-title: Proc. London Math. Soc. – ident: 21 doi: 10.1103/PhysRevE.69.036703 – ident: 10 doi: 10.1063/1.3702063 |
| SSID | ssj0002761 |
| Score | 2.0422275 |
| Snippet | The classical planar Richtmyer–Meshkov instability（RMI） at a fluid interface supported by a constant pressure is investigated by a formal perturbation... The classical planar Richtmyer-Meshkov instability (RMI) at a fluid interface supported by a constant pressure is investigated by a formal perturbation... |
| SourceID | proquest crossref chongqing |
| SourceType | Aggregation Database Index Database Publisher |
| StartPage | 523 |
| SubjectTerms | Amplitudes Constants Instability Nonlinearity NSA Perturbation RMI Saturation Stability Wavelengths 不稳定性 初始扰动 幅度 平面 流体界面 非线性饱和 |
| Title | Nonlinear Saturation Amplitude in Classical Planar Richtmyer–Meshkov Instability |
| URI | http://lib.cqvip.com/qk/83837X/201604/668634549.html https://www.proquest.com/docview/1816045923 |
| Volume | 65 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVIOP databaseName: IOP Electronic Journals customDbUrl: eissn: 1572-9494 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0002761 issn: 0253-6102 databaseCode: IOP dateStart: 19820101 isFulltext: true titleUrlDefault: https://iopscience.iop.org/ providerName: IOP Publishing |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3Nb9MwFLfKEIILH4OJMkBBQlwm08SxHfc40KqCuq4SrejNihOnRIh0W1sO3Pm_ef6om2ocBodElvNhyb-fnt-z3wdCb0uikrIiOdY0qTAtRB8LVuY4r9LSBHbmqU2mcz7mwxn9PGfzTud3y2tps1bvi19_jSv5H1ShD3A1UbL_gGz4KXRAG_CFOyAM91thPHZ5LvLrky8mP6fD8tT4iJuMlTagzyjHFgdTnQheNIH06x-gZ-Nzvfr2ffnTugu4ZN17J7x7kSMr7w4ZYh7dhkjQx0f1xjrr5Q0e5vVuk94JkjlQcBFcdWrfO1w2C_yhDuT8qhs88M-27faeRMJbrixOdBGWglEaOzmrvWjNCO5TV9J4K3tdnQjPMdoSpMxFIfs1mbmo-hviHkSkzYzhR4M2t8Wc4Ao_aGfYHl_IwWw0ktOz-fTd5RU2xcfMIb2vxHIH3SWwOJgKIJ8uJmFBhz5beHE7jI-9gsF7oa_HWY_2mKl6dR_WrWZxBZrHvq6zv9Rb_WX6GD30hkd06lj0BHV0c4geeSMk8iJ-dYjuTRy0T9Ek0Cva0SsK9IrqJgr0ihy9ohv0ilr0eoZmg7PpxyH2BThwQZhYY61ZmWlFU624LhQhiSaZOUjlmRZcZKRKuIhZHBdVpXSWibKsKlGmVKQJIfDdETpolo1-jqI01kmZpBno3wVVQqmSMMVEURRlJmKlu-g4TJu8dIlWJOeCp5TRfhedbCcyPLTeE0JIA4E0EEjOJJUAQRe92c61BGFpTsDyRi83KwnqLAcbBoyaF7d45xg92JH7JTpYX2_0K1BB1-q1JcgftsmGwA |
| linkProvider | IOP Publishing |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Nonlinear+Saturation+Amplitude+in+Classical+Planar+Richtmyer-Meshkov+Instability&rft.jtitle=Communications+in+theoretical+physics&rft.au=Liu%2C+Wan-Hai&rft.au=Wang%2C+Xiang&rft.au=Jiang%2C+Hong-Bin&rft.au=Wen-Fang%2C+Wen-Fang&rft.date=2016-04-01&rft.issn=0253-6102&rft.eissn=1572-9494&rft.volume=65&rft.issue=4&rft.spage=523&rft.epage=526&rft_id=info:doi/10.1088%2F0253-6102%2F65%2F4%2F523&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F83837X%2F83837X.jpg |