Numerical algorithm for moving-boundary fluid dynamics problems and its testing
A new Eulerian algorithm is proposed for computing incompressible flows with moving boundaries of arbitrary geometry. The algorithm can be regarded as an extension of Hirt’s classical volume-of-fluid method. The results of its implementation and testing are presented. A comparison of the numerical r...
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| Vydáno v: | Computational mathematics and mathematical physics Ročník 54; číslo 10; s. 1560 - 1570 |
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| Hlavní autor: | |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Moscow
Pleiades Publishing
01.10.2014
Springer Nature B.V |
| Témata: | |
| ISSN: | 0965-5425, 1555-6662 |
| On-line přístup: | Získat plný text |
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| Abstract | A new Eulerian algorithm is proposed for computing incompressible flows with moving boundaries of arbitrary geometry. The algorithm can be regarded as an extension of Hirt’s classical volume-of-fluid method. The results of its implementation and testing are presented. A comparison of the numerical results with experimental data and computations of other authors reveals good agreement. |
|---|---|
| AbstractList | A new Eulerian algorithm is proposed for computing incompressible flows with moving boundaries of arbitrary geometry. The algorithm can be regarded as an extension of Hirt's classical volume-of-fluid method. The results of its implementation and testing are presented. A comparison of the numerical results with experimental data and computations of other authors reveals good agreement. A new Eulerian algorithm is proposed for computing incompressible flows with moving boundaries of arbitrary geometry. The algorithm can be regarded as an extension of Hirt's classical volume-of-fluid method. The results of its implementation and testing are presented. A comparison of the numerical results with experimental data and computations of other authors reveals good agreement.[PUBLICATION ABSTRACT] |
| Author | Minakov, A. V. |
| Author_xml | – sequence: 1 givenname: A. V. surname: Minakov fullname: Minakov, A. V. email: tov-andrey@yandex.ru organization: Siberian Federal University, Kutateladze Institute of Thermal Physics, Siberian Branch, Russian Academy of Sciences |
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| Cites_doi | 10.1002/(SICI)1097-0363(19970415)24:7<671::AID-FLD508>3.0.CO;2-9 10.1016/0021-9991(88)90002-2 10.1017/S0962492902000077 10.1016/0021-9991(81)90145-5 10.1002/fld.1650061005 10.1134/S0869864308020169 10.1098/rsta.1997.0024 10.1134/S0869864310040098 |
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| References | BelotserkovskiiO MDavydovYu MLarge Particle Method in Gas Dynamics1982MoscowNauka KhakimzyanovG SShokinYu IBarakhninV BShokinaN YuNumerical Simulation of Flows with Surface Waves2001NovosibirskSib. Otd. Ross. Akad. Nauk OsherSSethianJ AFront propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulationsJ. Comput. Phys.198879124996586010.1016/0021-9991(88)90002-20659.65132 WemmenhoveRNumerical Simulation of Two-Phase Flow in Offshore Environments2008 RudyakV YaMinakovA VGavrilovA ADekterevA AApplication of new numerical algorithm for solving the Navier-Stokes equations for modeling the work of a viscometer of the physical pendulum typeThermophys. Aeromech.20081533334510.1134/S0869864308020169 N. G. Burago, Doctoral Dissertation in Mathematics and Physics (2003). BystrovYu AIsaevS AKudryavtsevN ALeont’evA INumerical Modeling of Vortex Heat Transfer Enhancement in Tube Bundles2005MoscowSudostroenie MarchukG ISplitting Methods1988MoscowNauka RudyakV YaMinakovA VGavrilovA ADekterevA AModeling of flows in micromixersThermophys. Aeromech.20101756557610.1134/S0869864310040098 BelotserkovskiiO MNumerical Simulation in Continuum Mechanics1984MoscowNauka LiuJSpaldingD BNumerical simulation of flows with moving interfacesPhysicochem. Hydrodyn1988105/6625637 GavrilovA AMinakovA VDekterevA ARudyakV YaA numerical algorithm for modeling laminar flows in an annular channel with eccentricitySib. Zh. Ind. Mat.201013431428412091228.76094 ThompsonEUse of pseudo-concentrations to follow creeping viscous flows during transient analysisInt. J. Numer. Methods Eng.1986674976110.1002/fld.1650061005 KotheD BRiderW JMossoS JBrockJ SVolume tracing of interfaces having surface tension in two and three dimensionsAIAA Paper 96-08591996 HirtC WNicholsB DVolume of fluid (VOF) method for the dynamics of free boundariesJ. Comput. Phys.19813920122510.1016/0021-9991(81)90145-50462.76020 RudmanMVolume tracking methods for interfacial flow calculationsInt. J. Numer. Methods Fluids199724671691144244010.1002/(SICI)1097-0363(19970415)24:7<671::AID-FLD508>3.0.CO;2-90889.76069 PeskinCThe immersed boundary methodActa Numerica200211479517200937810.1017/S09624929020000771123.74309 M. Greenhow and S. Moyo, “Water entry and exit of a horizontal circular cylinders,” Phil. Trans. R. Soc. 355, 551–563. 9910_CR18 J Liu (9910_CR9) 1988; 10 A A Gavrilov (9910_CR13) 2010; 13 D B Kothe (9910_CR5) 1996 E Thompson (9910_CR8) 1986; 6 G I Marchuk (9910_CR12) 1988 M Rudman (9910_CR16) 1997; 24 S Osher (9910_CR6) 1988; 79 C Peskin (9910_CR10) 2002; 11 O M Belotserkovskii (9910_CR2) 1984 Yu A Bystrov (9910_CR11) 2005 9910_CR1 O M Belotserkovskii (9910_CR3) 1982 V Ya Rudyak (9910_CR14) 2008; 15 C W Hirt (9910_CR7) 1981; 39 V Ya Rudyak (9910_CR15) 2010; 17 R Wemmenhove (9910_CR17) 2008 G S Khakimzyanov (9910_CR4) 2001 |
| References_xml | – reference: RudyakV YaMinakovA VGavrilovA ADekterevA AModeling of flows in micromixersThermophys. Aeromech.20101756557610.1134/S0869864310040098 – reference: RudyakV YaMinakovA VGavrilovA ADekterevA AApplication of new numerical algorithm for solving the Navier-Stokes equations for modeling the work of a viscometer of the physical pendulum typeThermophys. Aeromech.20081533334510.1134/S0869864308020169 – reference: WemmenhoveRNumerical Simulation of Two-Phase Flow in Offshore Environments2008 – reference: ThompsonEUse of pseudo-concentrations to follow creeping viscous flows during transient analysisInt. J. Numer. Methods Eng.1986674976110.1002/fld.1650061005 – reference: M. Greenhow and S. Moyo, “Water entry and exit of a horizontal circular cylinders,” Phil. Trans. R. Soc. 355, 551–563. – reference: GavrilovA AMinakovA VDekterevA ARudyakV YaA numerical algorithm for modeling laminar flows in an annular channel with eccentricitySib. Zh. Ind. Mat.201013431428412091228.76094 – reference: OsherSSethianJ AFront propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulationsJ. Comput. Phys.198879124996586010.1016/0021-9991(88)90002-20659.65132 – reference: PeskinCThe immersed boundary methodActa Numerica200211479517200937810.1017/S09624929020000771123.74309 – reference: KotheD BRiderW JMossoS JBrockJ SVolume tracing of interfaces having surface tension in two and three dimensionsAIAA Paper 96-08591996 – reference: BystrovYu AIsaevS AKudryavtsevN ALeont’evA INumerical Modeling of Vortex Heat Transfer Enhancement in Tube Bundles2005MoscowSudostroenie – reference: HirtC WNicholsB DVolume of fluid (VOF) method for the dynamics of free boundariesJ. Comput. Phys.19813920122510.1016/0021-9991(81)90145-50462.76020 – reference: BelotserkovskiiO MNumerical Simulation in Continuum Mechanics1984MoscowNauka – reference: KhakimzyanovG SShokinYu IBarakhninV BShokinaN YuNumerical Simulation of Flows with Surface Waves2001NovosibirskSib. Otd. Ross. Akad. Nauk – reference: RudmanMVolume tracking methods for interfacial flow calculationsInt. J. Numer. Methods Fluids199724671691144244010.1002/(SICI)1097-0363(19970415)24:7<671::AID-FLD508>3.0.CO;2-90889.76069 – reference: BelotserkovskiiO MDavydovYu MLarge Particle Method in Gas Dynamics1982MoscowNauka – reference: MarchukG ISplitting Methods1988MoscowNauka – reference: LiuJSpaldingD BNumerical simulation of flows with moving interfacesPhysicochem. Hydrodyn1988105/6625637 – reference: N. G. Burago, Doctoral Dissertation in Mathematics and Physics (2003). – volume: 24 start-page: 671 year: 1997 ident: 9910_CR16 publication-title: Int. J. Numer. Methods Fluids doi: 10.1002/(SICI)1097-0363(19970415)24:7<671::AID-FLD508>3.0.CO;2-9 – volume: 79 start-page: 12 year: 1988 ident: 9910_CR6 publication-title: J. Comput. Phys. doi: 10.1016/0021-9991(88)90002-2 – volume: 11 start-page: 479 year: 2002 ident: 9910_CR10 publication-title: Acta Numerica doi: 10.1017/S0962492902000077 – volume-title: Splitting Methods year: 1988 ident: 9910_CR12 – ident: 9910_CR1 – volume: 39 start-page: 201 year: 1981 ident: 9910_CR7 publication-title: J. Comput. Phys. doi: 10.1016/0021-9991(81)90145-5 – volume: 13 start-page: 3 issue: 4 year: 2010 ident: 9910_CR13 publication-title: Sib. Zh. Ind. Mat. – volume-title: Numerical Simulation of Two-Phase Flow in Offshore Environments year: 2008 ident: 9910_CR17 – volume-title: Numerical Simulation of Flows with Surface Waves year: 2001 ident: 9910_CR4 – volume: 6 start-page: 749 year: 1986 ident: 9910_CR8 publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/fld.1650061005 – volume-title: Numerical Modeling of Vortex Heat Transfer Enhancement in Tube Bundles year: 2005 ident: 9910_CR11 – volume: 10 start-page: 625 issue: 5/6 year: 1988 ident: 9910_CR9 publication-title: Physicochem. Hydrodyn – volume-title: AIAA Paper 96-0859 year: 1996 ident: 9910_CR5 – volume: 15 start-page: 333 year: 2008 ident: 9910_CR14 publication-title: Thermophys. Aeromech. doi: 10.1134/S0869864308020169 – ident: 9910_CR18 doi: 10.1098/rsta.1997.0024 – volume: 17 start-page: 565 year: 2010 ident: 9910_CR15 publication-title: Thermophys. Aeromech. doi: 10.1134/S0869864310040098 – volume-title: Numerical Simulation in Continuum Mechanics year: 1984 ident: 9910_CR2 – volume-title: Large Particle Method in Gas Dynamics year: 1982 ident: 9910_CR3 |
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