On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves

Abstract Starting from the general, governing equations for a viscous, compressible fluid written in rotating, spherical coordinates, with an associated prescription for its thermodynamics, we construct a general amplitude perturbation of the background state of the atmosphere. The background state,...
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Autor*in:	Johnson, R. S. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Fluid dynamics Atmosphere Asymptotic methods Gravity/buoyancy wave

Anmerkung:	© The Author(s) 2022

Übergeordnetes Werk:	Enthalten in: Monatshefte für Mathematik - Wien [u.a.] : Springer, 1890, 201(2022), 4 vom: 10. Aug., Seite 1125-1147
Übergeordnetes Werk:	volume:201 ; year:2022 ; number:4 ; day:10 ; month:08 ; pages:1125-1147

Links:	Volltext

DOI / URN:	10.1007/s00605-022-01752-8

Katalog-ID:	SPR051870517

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520			\|a Abstract Starting from the general, governing equations for a viscous, compressible fluid written in rotating, spherical coordinates, with an associated prescription for its thermodynamics, we construct a general amplitude perturbation of the background state of the atmosphere. The background state, with a purely zonal flow (wind) is suitably non-dimensionalised and the thin-shell parameter introduced; this is the sole basis upon which we construct the asymptotic solution of this problem. A corresponding, but different, non-dimensionalisation is performed on the system representing the perturbation. This approach shows how the Boussinesq approximation arises, but it also shows that rotation (Coriolis) terms cannot be ignored. Furthermore, any consistent solution requires that changes in pressure, density and temperature, due to the passage of the wave, are all the same (asymptotic) size. Comparison is made with existing theories, and we comment on the new aspects that have been uncovered in this investigation. Finally, we indicate where these ideas might be taken in the future.
650		4	\|a Fluid dynamics \|7 (dpeaa)DE-He213
650		4	\|a Atmosphere \|7 (dpeaa)DE-He213
650		4	\|a Asymptotic methods \|7 (dpeaa)DE-He213
650		4	\|a Gravity/buoyancy wave \|7 (dpeaa)DE-He213
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912			\|a GBV_ILN_63
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912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
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912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_267
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
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912			\|a GBV_ILN_2118
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912			\|a GBV_ILN_2143
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912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
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allfields	10.1007/s00605-022-01752-8 doi (DE-627)SPR051870517 (SPR)s00605-022-01752-8-e DE-627 ger DE-627 rakwb eng Johnson, R. S. verfasserin (orcid)0000-0001-7744-2307 aut On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Starting from the general, governing equations for a viscous, compressible fluid written in rotating, spherical coordinates, with an associated prescription for its thermodynamics, we construct a general amplitude perturbation of the background state of the atmosphere. The background state, with a purely zonal flow (wind) is suitably non-dimensionalised and the thin-shell parameter introduced; this is the sole basis upon which we construct the asymptotic solution of this problem. A corresponding, but different, non-dimensionalisation is performed on the system representing the perturbation. This approach shows how the Boussinesq approximation arises, but it also shows that rotation (Coriolis) terms cannot be ignored. Furthermore, any consistent solution requires that changes in pressure, density and temperature, due to the passage of the wave, are all the same (asymptotic) size. Comparison is made with existing theories, and we comment on the new aspects that have been uncovered in this investigation. Finally, we indicate where these ideas might be taken in the future. Fluid dynamics (dpeaa)DE-He213 Atmosphere (dpeaa)DE-He213 Asymptotic methods (dpeaa)DE-He213 Gravity/buoyancy wave (dpeaa)DE-He213 Enthalten in Monatshefte für Mathematik Wien [u.a.] : Springer, 1890 201(2022), 4 vom: 10. Aug., Seite 1125-1147 (DE-627)254638058 (DE-600)1462913-6 1436-5081 nnns volume:201 year:2022 number:4 day:10 month:08 pages:1125-1147 https://dx.doi.org/10.1007/s00605-022-01752-8 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 201 2022 4 10 08 1125-1147
spelling	10.1007/s00605-022-01752-8 doi (DE-627)SPR051870517 (SPR)s00605-022-01752-8-e DE-627 ger DE-627 rakwb eng Johnson, R. S. verfasserin (orcid)0000-0001-7744-2307 aut On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Starting from the general, governing equations for a viscous, compressible fluid written in rotating, spherical coordinates, with an associated prescription for its thermodynamics, we construct a general amplitude perturbation of the background state of the atmosphere. The background state, with a purely zonal flow (wind) is suitably non-dimensionalised and the thin-shell parameter introduced; this is the sole basis upon which we construct the asymptotic solution of this problem. A corresponding, but different, non-dimensionalisation is performed on the system representing the perturbation. This approach shows how the Boussinesq approximation arises, but it also shows that rotation (Coriolis) terms cannot be ignored. Furthermore, any consistent solution requires that changes in pressure, density and temperature, due to the passage of the wave, are all the same (asymptotic) size. Comparison is made with existing theories, and we comment on the new aspects that have been uncovered in this investigation. Finally, we indicate where these ideas might be taken in the future. Fluid dynamics (dpeaa)DE-He213 Atmosphere (dpeaa)DE-He213 Asymptotic methods (dpeaa)DE-He213 Gravity/buoyancy wave (dpeaa)DE-He213 Enthalten in Monatshefte für Mathematik Wien [u.a.] : Springer, 1890 201(2022), 4 vom: 10. Aug., Seite 1125-1147 (DE-627)254638058 (DE-600)1462913-6 1436-5081 nnns volume:201 year:2022 number:4 day:10 month:08 pages:1125-1147 https://dx.doi.org/10.1007/s00605-022-01752-8 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 201 2022 4 10 08 1125-1147
allfields_unstemmed	10.1007/s00605-022-01752-8 doi (DE-627)SPR051870517 (SPR)s00605-022-01752-8-e DE-627 ger DE-627 rakwb eng Johnson, R. S. verfasserin (orcid)0000-0001-7744-2307 aut On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Starting from the general, governing equations for a viscous, compressible fluid written in rotating, spherical coordinates, with an associated prescription for its thermodynamics, we construct a general amplitude perturbation of the background state of the atmosphere. The background state, with a purely zonal flow (wind) is suitably non-dimensionalised and the thin-shell parameter introduced; this is the sole basis upon which we construct the asymptotic solution of this problem. A corresponding, but different, non-dimensionalisation is performed on the system representing the perturbation. This approach shows how the Boussinesq approximation arises, but it also shows that rotation (Coriolis) terms cannot be ignored. Furthermore, any consistent solution requires that changes in pressure, density and temperature, due to the passage of the wave, are all the same (asymptotic) size. Comparison is made with existing theories, and we comment on the new aspects that have been uncovered in this investigation. Finally, we indicate where these ideas might be taken in the future. Fluid dynamics (dpeaa)DE-He213 Atmosphere (dpeaa)DE-He213 Asymptotic methods (dpeaa)DE-He213 Gravity/buoyancy wave (dpeaa)DE-He213 Enthalten in Monatshefte für Mathematik Wien [u.a.] : Springer, 1890 201(2022), 4 vom: 10. Aug., Seite 1125-1147 (DE-627)254638058 (DE-600)1462913-6 1436-5081 nnns volume:201 year:2022 number:4 day:10 month:08 pages:1125-1147 https://dx.doi.org/10.1007/s00605-022-01752-8 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 201 2022 4 10 08 1125-1147
allfieldsGer	10.1007/s00605-022-01752-8 doi (DE-627)SPR051870517 (SPR)s00605-022-01752-8-e DE-627 ger DE-627 rakwb eng Johnson, R. S. verfasserin (orcid)0000-0001-7744-2307 aut On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Starting from the general, governing equations for a viscous, compressible fluid written in rotating, spherical coordinates, with an associated prescription for its thermodynamics, we construct a general amplitude perturbation of the background state of the atmosphere. The background state, with a purely zonal flow (wind) is suitably non-dimensionalised and the thin-shell parameter introduced; this is the sole basis upon which we construct the asymptotic solution of this problem. A corresponding, but different, non-dimensionalisation is performed on the system representing the perturbation. This approach shows how the Boussinesq approximation arises, but it also shows that rotation (Coriolis) terms cannot be ignored. Furthermore, any consistent solution requires that changes in pressure, density and temperature, due to the passage of the wave, are all the same (asymptotic) size. Comparison is made with existing theories, and we comment on the new aspects that have been uncovered in this investigation. Finally, we indicate where these ideas might be taken in the future. Fluid dynamics (dpeaa)DE-He213 Atmosphere (dpeaa)DE-He213 Asymptotic methods (dpeaa)DE-He213 Gravity/buoyancy wave (dpeaa)DE-He213 Enthalten in Monatshefte für Mathematik Wien [u.a.] : Springer, 1890 201(2022), 4 vom: 10. Aug., Seite 1125-1147 (DE-627)254638058 (DE-600)1462913-6 1436-5081 nnns volume:201 year:2022 number:4 day:10 month:08 pages:1125-1147 https://dx.doi.org/10.1007/s00605-022-01752-8 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 201 2022 4 10 08 1125-1147
allfieldsSound	10.1007/s00605-022-01752-8 doi (DE-627)SPR051870517 (SPR)s00605-022-01752-8-e DE-627 ger DE-627 rakwb eng Johnson, R. S. verfasserin (orcid)0000-0001-7744-2307 aut On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Starting from the general, governing equations for a viscous, compressible fluid written in rotating, spherical coordinates, with an associated prescription for its thermodynamics, we construct a general amplitude perturbation of the background state of the atmosphere. The background state, with a purely zonal flow (wind) is suitably non-dimensionalised and the thin-shell parameter introduced; this is the sole basis upon which we construct the asymptotic solution of this problem. A corresponding, but different, non-dimensionalisation is performed on the system representing the perturbation. This approach shows how the Boussinesq approximation arises, but it also shows that rotation (Coriolis) terms cannot be ignored. Furthermore, any consistent solution requires that changes in pressure, density and temperature, due to the passage of the wave, are all the same (asymptotic) size. Comparison is made with existing theories, and we comment on the new aspects that have been uncovered in this investigation. Finally, we indicate where these ideas might be taken in the future. Fluid dynamics (dpeaa)DE-He213 Atmosphere (dpeaa)DE-He213 Asymptotic methods (dpeaa)DE-He213 Gravity/buoyancy wave (dpeaa)DE-He213 Enthalten in Monatshefte für Mathematik Wien [u.a.] : Springer, 1890 201(2022), 4 vom: 10. Aug., Seite 1125-1147 (DE-627)254638058 (DE-600)1462913-6 1436-5081 nnns volume:201 year:2022 number:4 day:10 month:08 pages:1125-1147 https://dx.doi.org/10.1007/s00605-022-01752-8 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 201 2022 4 10 08 1125-1147
language	English
source	Enthalten in Monatshefte für Mathematik 201(2022), 4 vom: 10. Aug., Seite 1125-1147 volume:201 year:2022 number:4 day:10 month:08 pages:1125-1147
sourceStr	Enthalten in Monatshefte für Mathematik 201(2022), 4 vom: 10. Aug., Seite 1125-1147 volume:201 year:2022 number:4 day:10 month:08 pages:1125-1147
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Fluid dynamics Atmosphere Asymptotic methods Gravity/buoyancy wave
isfreeaccess_bool	true
container_title	Monatshefte für Mathematik
authorswithroles_txt_mv	Johnson, R. S. @@aut@@
publishDateDaySort_date	2022-08-10T00:00:00Z
hierarchy_top_id	254638058
id	SPR051870517
language_de	englisch
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author	Johnson, R. S.
spellingShingle	Johnson, R. S. misc Fluid dynamics misc Atmosphere misc Asymptotic methods misc Gravity/buoyancy wave On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves
authorStr	Johnson, R. S.
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topic_title	On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves Fluid dynamics (dpeaa)DE-He213 Atmosphere (dpeaa)DE-He213 Asymptotic methods (dpeaa)DE-He213 Gravity/buoyancy wave (dpeaa)DE-He213
topic	misc Fluid dynamics misc Atmosphere misc Asymptotic methods misc Gravity/buoyancy wave
topic_unstemmed	misc Fluid dynamics misc Atmosphere misc Asymptotic methods misc Gravity/buoyancy wave
topic_browse	misc Fluid dynamics misc Atmosphere misc Asymptotic methods misc Gravity/buoyancy wave
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title	On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves
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title_full	On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves
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title_sort	on the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves
title_auth	On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves
abstract	Abstract Starting from the general, governing equations for a viscous, compressible fluid written in rotating, spherical coordinates, with an associated prescription for its thermodynamics, we construct a general amplitude perturbation of the background state of the atmosphere. The background state, with a purely zonal flow (wind) is suitably non-dimensionalised and the thin-shell parameter introduced; this is the sole basis upon which we construct the asymptotic solution of this problem. A corresponding, but different, non-dimensionalisation is performed on the system representing the perturbation. This approach shows how the Boussinesq approximation arises, but it also shows that rotation (Coriolis) terms cannot be ignored. Furthermore, any consistent solution requires that changes in pressure, density and temperature, due to the passage of the wave, are all the same (asymptotic) size. Comparison is made with existing theories, and we comment on the new aspects that have been uncovered in this investigation. Finally, we indicate where these ideas might be taken in the future. © The Author(s) 2022
abstractGer	Abstract Starting from the general, governing equations for a viscous, compressible fluid written in rotating, spherical coordinates, with an associated prescription for its thermodynamics, we construct a general amplitude perturbation of the background state of the atmosphere. The background state, with a purely zonal flow (wind) is suitably non-dimensionalised and the thin-shell parameter introduced; this is the sole basis upon which we construct the asymptotic solution of this problem. A corresponding, but different, non-dimensionalisation is performed on the system representing the perturbation. This approach shows how the Boussinesq approximation arises, but it also shows that rotation (Coriolis) terms cannot be ignored. Furthermore, any consistent solution requires that changes in pressure, density and temperature, due to the passage of the wave, are all the same (asymptotic) size. Comparison is made with existing theories, and we comment on the new aspects that have been uncovered in this investigation. Finally, we indicate where these ideas might be taken in the future. © The Author(s) 2022
abstract_unstemmed	Abstract Starting from the general, governing equations for a viscous, compressible fluid written in rotating, spherical coordinates, with an associated prescription for its thermodynamics, we construct a general amplitude perturbation of the background state of the atmosphere. The background state, with a purely zonal flow (wind) is suitably non-dimensionalised and the thin-shell parameter introduced; this is the sole basis upon which we construct the asymptotic solution of this problem. A corresponding, but different, non-dimensionalisation is performed on the system representing the perturbation. This approach shows how the Boussinesq approximation arises, but it also shows that rotation (Coriolis) terms cannot be ignored. Furthermore, any consistent solution requires that changes in pressure, density and temperature, due to the passage of the wave, are all the same (asymptotic) size. Comparison is made with existing theories, and we comment on the new aspects that have been uncovered in this investigation. Finally, we indicate where these ideas might be taken in the future. © The Author(s) 2022
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title_short	On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves
url	https://dx.doi.org/10.1007/s00605-022-01752-8
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S.</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0001-7744-2307</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s) 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Starting from the general, governing equations for a viscous, compressible fluid written in rotating, spherical coordinates, with an associated prescription for its thermodynamics, we construct a general amplitude perturbation of the background state of the atmosphere. The background state, with a purely zonal flow (wind) is suitably non-dimensionalised and the thin-shell parameter introduced; this is the sole basis upon which we construct the asymptotic solution of this problem. A corresponding, but different, non-dimensionalisation is performed on the system representing the perturbation. This approach shows how the Boussinesq approximation arises, but it also shows that rotation (Coriolis) terms cannot be ignored. Furthermore, any consistent solution requires that changes in pressure, density and temperature, due to the passage of the wave, are all the same (asymptotic) size. Comparison is made with existing theories, and we comment on the new aspects that have been uncovered in this investigation. Finally, we indicate where these ideas might be taken in the future.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fluid dynamics</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Atmosphere</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Asymptotic methods</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Gravity/buoyancy wave</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Monatshefte für Mathematik</subfield><subfield code="d">Wien [u.a.] : Springer, 1890</subfield><subfield code="g">201(2022), 4 vom: 10. 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On the mathematical fluid dynamics of atmospheric gravity (buoyancy) waves

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