{"id":"https://openalex.org/W2163517954","doi":"https://doi.org/10.1175/2010jas3490.1","title":"Regime of Validity of Soundproof Atmospheric Flow Models","display_name":"Regime of Validity of Soundproof Atmospheric Flow Models","publication_year":2010,"publication_date":"2010-05-21","ids":{"openalex":"https://openalex.org/W2163517954","doi":"https://doi.org/10.1175/2010jas3490.1","mag":"2163517954"},"language":"en","primary_location":{"id":"doi:10.1175/2010jas3490.1","doi":"https://doi.org/10.1175/2010jas3490.1","is_oa":true,"landing_page_url":"https://doi.org/10.1175/2010jas3490.1","pdf_url":"https://journals.ametsoc.org/downloadpdf/journals/atsc/67/10/2010jas3490.1.pdf","source":{"id":"https://openalex.org/S131264402","display_name":"Journal of the Atmospheric Sciences","issn_l":"0022-4928","issn":["0022-4928","1520-0469"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-1","norway-2","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320260","host_organization_name":"American Meteorological Society","host_organization_lineage":["https://openalex.org/P4310320260"],"host_organization_lineage_names":["American Meteorological Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Atmospheric Sciences","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://journals.ametsoc.org/downloadpdf/journals/atsc/67/10/2010jas3490.1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008181519","display_name":"Rupert Klein","orcid":"https://orcid.org/0000-0001-8032-3851","observed_orcids":["https://orcid.org/0000-0001-8032-3851"]},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Rupert Klein","raw_affiliation_strings":["Mathematik und Informatik, Freie Universit\u00e4t Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematik und Informatik, Freie Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068915160","display_name":"Ulrich Achatz","orcid":"https://orcid.org/0000-0002-5065-5633","observed_orcids":["https://orcid.org/0000-0002-5065-5633"]},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ulrich Achatz","raw_affiliation_strings":["Meteorologie, Goethe-Universit\u00e4t, Frankfurt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Meteorologie, Goethe-Universit\u00e4t, Frankfurt, Germany","institution_ids":["https://openalex.org/I114090438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084765488","display_name":"Didier Bresch","orcid":"https://orcid.org/0000-0002-2936-7856","observed_orcids":["https://orcid.org/0000-0002-2936-7856"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I2800365227","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4405277335","display_name":"Le LAMA","ror":"https://ror.org/02b1pky17","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4405277335","https://openalex.org/I70900168"]},{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Didier Bresch","raw_affiliation_strings":["LAMA, CNRS, Universit\u00e9 de Savoie, Chamb\u00e9ry, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMA, CNRS, Universit\u00e9 de Savoie, Chamb\u00e9ry, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210144844","https://openalex.org/I4405277335","https://openalex.org/I70900168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061770406","display_name":"Omar Knio","orcid":"https://orcid.org/0000-0002-0973-1112","observed_orcids":["https://orcid.org/0000-0002-0973-1112","https://orcid.org/0000-0002-7969-2569"]},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Omar M. Knio","raw_affiliation_strings":["Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, Maryland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, Maryland","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051586860","display_name":"Piotr K. Smolarkiewicz","orcid":"https://orcid.org/0000-0001-7077-3285","observed_orcids":["https://orcid.org/0000-0001-7077-3285","https://orcid.org/0000-0002-3579-0220"]},"institutions":[{"id":"https://openalex.org/I107766831","display_name":"NSF National Center for Atmospheric Research","ror":"https://ror.org/05cvfcr44","country_code":"US","type":"facility","lineage":["https://openalex.org/I107766831","https://openalex.org/I1311060795","https://openalex.org/I2799356940","https://openalex.org/I4210141337","https://openalex.org/I4210150888"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Piotr K. Smolarkiewicz","raw_affiliation_strings":["National Center for Atmospheric Research,* Boulder, Colorado"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Center for Atmospheric Research,* Boulder, Colorado","institution_ids":["https://openalex.org/I107766831"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5008181519"],"corresponding_institution_ids":["https://openalex.org/I75951250"],"apc_list":null,"apc_paid":null,"fwci":3.8137,"has_fulltext":true,"cited_by_count":65,"citation_normalized_percentile":{"value":0.92826379,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"67","issue":"10","first_page":"3226","last_page":"3237"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10255","display_name":"Oceanographic and Atmospheric Processes","score":0.007899999618530273,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.003700000001117587,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/anelastic-model","display_name":"anelastic model","score":0.9200000166893005},{"id":"https://openalex.org/keywords/internal-gravity-waves","display_name":"internal gravity waves","score":0.609000027179718},{"id":"https://openalex.org/keywords/acoustic-waves","display_name":"acoustic waves","score":0.593999981880188},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"asymptotic expansion","score":0.5740000009536743},{"id":"https://openalex.org/keywords/mach-number","display_name":"Mach number","score":0.6430000066757202},{"id":"https://openalex.org/keywords/potential-temperature","display_name":"potential temperature","score":0.49900001287460327},{"id":"https://openalex.org/keywords/scale-analysis","display_name":"scale analysis","score":0.6230000257492065},{"id":"https://openalex.org/keywords/phase-difference","display_name":"phase difference","score":0.38199999928474426},{"id":"https://openalex.org/keywords/advection","display_name":"advection","score":0.5260000228881836},{"id":"https://openalex.org/keywords/compressible-flow","display_name":"compressible flow","score":0.4350000023841858}],"concepts":[{"id":"https://openalex.org/C165231844","wikidata":"https://www.wikidata.org/wiki/Q160669","display_name":"Mach number","level":2,"score":0.7764196991920471},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.6414300203323364},{"id":"https://openalex.org/C192943249","wikidata":"https://www.wikidata.org/wiki/Q1893382","display_name":"Stratification (seeds)","level":5,"score":0.5755751729011536},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5721994638442993},{"id":"https://openalex.org/C146864707","wikidata":"https://www.wikidata.org/wiki/Q382774","display_name":"Internal wave","level":2,"score":0.537118673324585},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.5284055471420288},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5157725811004639},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4981076717376709},{"id":"https://openalex.org/C185975314","wikidata":"https://www.wikidata.org/wiki/Q599451","display_name":"Gravity wave","level":3,"score":0.4787801504135132},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3308783769607544},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.32960349321365356},{"id":"https://openalex.org/C190330329","wikidata":"https://www.wikidata.org/wiki/Q190035","display_name":"Gravitational wave","level":2,"score":0.2703168988227844},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2219492495059967},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.09546026587486267},{"id":"https://openalex.org/C88548481","wikidata":"https://www.wikidata.org/wiki/Q2397491","display_name":"Seed dormancy","level":4,"score":0.0},{"id":"https://openalex.org/C3527866","wikidata":"https://www.wikidata.org/wiki/Q162267","display_name":"Dormancy","level":3,"score":0.0},{"id":"https://openalex.org/C100701293","wikidata":"https://www.wikidata.org/wiki/Q193838","display_name":"Germination","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1175/2010jas3490.1","doi":"https://doi.org/10.1175/2010jas3490.1","is_oa":true,"landing_page_url":"https://doi.org/10.1175/2010jas3490.1","pdf_url":"https://journals.ametsoc.org/downloadpdf/journals/atsc/67/10/2010jas3490.1.pdf","source":{"id":"https://openalex.org/S131264402","display_name":"Journal of the Atmospheric Sciences","issn_l":"0022-4928","issn":["0022-4928","1520-0469"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-1","norway-2","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320260","host_organization_name":"American Meteorological Society","host_organization_lineage":["https://openalex.org/P4310320260"],"host_organization_lineage_names":["American Meteorological Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Atmospheric Sciences","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1175/2010jas3490.1","doi":"https://doi.org/10.1175/2010jas3490.1","is_oa":true,"landing_page_url":"https://doi.org/10.1175/2010jas3490.1","pdf_url":"https://journals.ametsoc.org/downloadpdf/journals/atsc/67/10/2010jas3490.1.pdf","source":{"id":"https://openalex.org/S131264402","display_name":"Journal of the Atmospheric Sciences","issn_l":"0022-4928","issn":["0022-4928","1520-0469"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-1","norway-2","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320260","host_organization_name":"American Meteorological Society","host_organization_lineage":["https://openalex.org/P4310320260"],"host_organization_lineage_names":["American Meteorological Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Atmospheric Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5714848634","display_name":"Analyse math\u00e9matique en oc\u00e9anographie et applications","funder_award_id":"ANR-08-BLAN-0301","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308377","display_name":"National Center for Atmospheric Research","ror":"https://ror.org/05cvfcr44"},{"id":"https://openalex.org/F4320310145","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2163517954.pdf","grobid_xml":"https://content.openalex.org/works/W2163517954.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1576454099","https://openalex.org/W1580233720","https://openalex.org/W1966890000","https://openalex.org/W1989016942","https://openalex.org/W1989636606","https://openalex.org/W2026979581","https://openalex.org/W2037324562","https://openalex.org/W2041009247","https://openalex.org/W2050454880","https://openalex.org/W2060418422","https://openalex.org/W2065716012","https://openalex.org/W2075509355","https://openalex.org/W2128144169","https://openalex.org/W2476699301","https://openalex.org/W2951106345","https://openalex.org/W6634581445"],"related_works":["https://openalex.org/W2179416524","https://openalex.org/W1989016942","https://openalex.org/W2187571972","https://openalex.org/W4390106873","https://openalex.org/W4299968510","https://openalex.org/W2065716012","https://openalex.org/W2146932215","https://openalex.org/W2900481468","https://openalex.org/W2038909813","https://openalex.org/W2216929687"],"abstract_inverted_index":{"Abstract":[0],"Ogura":[1],"and":[2,35,207,218,230,240,280],"Phillips":[3],"derived":[4],"the":[5,14,19,36,41,54,58,63,66,86,101,115,119,139,153,169,192,216,221,227,236,246,258,270,277],"original":[6,102],"anelastic":[7,103],"model":[8,27,104,117],"through":[9],"systematic":[10],"formal":[11],"asymptotics":[12],"using":[13],"flow":[15,72],"Mach":[16,67,73],"number":[17,68],"as":[18],"expansion":[20],"parameter.":[21],"To":[22],"arrive":[23],"at":[24],"a":[25,49,124,134],"reduced":[26],"that":[28,53,138,180,269,281],"would":[29],"simultaneously":[30],"represent":[31],"internal":[32,204,223,251],"gravity":[33,205],"waves":[34,252],"effects":[37],"of":[38,57,65,75,82,88,100,128,141,143,145,155,164,174,202,214,220,226,238,250,287],"advection":[39],"on":[40,62,152],"same":[42,120],"time":[43,198,261],"scale,":[44],"they":[45],"had":[46],"to":[47,79,94,108,161,235,276],"adopt":[48],"distinguished":[50],"limit":[51],"requiring":[52],"dimensionless":[55],"stability":[56],"background":[59],"state":[60],"be":[61],"order":[64,154,237,289],"squared.":[69],"For":[70],"typical":[71],"numbers":[74],",":[76],"this":[77,110,212],"amounts":[78],"total":[80],"variations":[81,163],"potential":[83,165],"temperature":[84,166],"across":[85,168],"troposphere":[87],"less":[89],"than":[90],"one":[91],"Kelvin":[92],"(i.e.,":[93],"unrealistically":[95],"weak":[96],"stratification).":[97],"Various":[98],"generalizations":[99],"have":[105],"been":[106],"proposed":[107,114],"remedy":[109],"issue.":[111],"Later,":[112],"Durran":[113],"pseudoincompressible":[116,231],"following":[118],"goals,":[121],"but":[122],"via":[123],"somewhat":[125],"different":[126],"route":[127],"argumentation.":[129],"The":[130,263],"present":[131],"paper":[132],"provides":[133],"scale":[135,171],"analysis":[136],"showing":[137],"regime":[140],"validity":[142],"two":[144],"these":[146],"extended":[147],"models":[148,232,272],"covers":[149],"stratification":[150],"strengths":[151],"(hsc/\u03b8)d\u03b8/dz":[156,183],"<":[157,184,188,190,244],"M2/3,":[158],"which":[159],"corresponds":[160],"realistic":[162],"\u03b8":[167],"pressure":[170],"height":[172],"hsc":[173],".":[175],"Specifically,":[176],"it":[177],"is":[178,265],"shown":[179],"(i)":[181],"for":[182],"M\u03bc":[185],"with":[186,274],"0":[187],"\u03bc":[189,243],"2,":[191],"atmosphere":[193],"features":[194],"three":[195,271],"asymptotically":[196,254],"distinct":[197],"scales,":[199],"namely,":[200],"those":[201],"advection,":[203],"waves,":[206],"sound":[208],"waves;":[209],"(ii)":[210],"within":[211],"range":[213],"stratifications,":[215],"structures":[217],"frequencies":[219],"linearized":[222],"wave":[224],"modes":[225],"compressible,":[228],"anelastic,":[229],"agree":[233,273],"up":[234],"M\u03bc;":[239],"(iii)":[241],"if":[242],"\u2154,":[245],"accumulated":[247],"phase":[248],"differences":[249],"remain":[253],"small":[255],"even":[256],"over":[257],"long":[259],"advective":[260,278],"scale.":[262],"argument":[264],"completed":[266],"by":[267],"observing":[268],"respect":[275],"nonlinearities":[279],"all":[282],"other":[283],"nonlinear":[284],"terms":[285],"are":[286],"higher":[288],"in":[290],"M.":[291]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":6}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}
