{"id":"https://openalex.org/W1978782819","doi":"https://doi.org/10.1137/130919167","title":"A Scalable Fully Implicit Compressible Euler Solver for Mesoscale Nonhydrostatic Simulation of Atmospheric Flows","display_name":"A Scalable Fully Implicit Compressible Euler Solver for Mesoscale Nonhydrostatic Simulation of Atmospheric Flows","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1978782819","doi":"https://doi.org/10.1137/130919167","mag":"1978782819"},"language":"en","primary_location":{"id":"doi:10.1137/130919167","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130919167","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005718995","display_name":"Chao Yang","orcid":"https://orcid.org/0000-0001-7426-6248"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chao Yang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006367748","display_name":"Xiao\u2010Chuan Cai","orcid":"https://orcid.org/0000-0003-0296-8640"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiao-Chuan Cai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.4067,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.97677885,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"36","issue":"5","first_page":"S23","last_page":"S47"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.6807529926300049},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6464780569076538},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.6319546103477478},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6096369624137878},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.6088298559188843},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5315396785736084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5112628936767578},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4501315951347351},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.4440827965736389},{"id":"https://openalex.org/keywords/semi-implicit-euler-method","display_name":"Semi-implicit Euler method","score":0.41070133447647095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3293081223964691},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2125857174396515},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20415928959846497},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.12959527969360352}],"concepts":[{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.6807529926300049},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6464780569076538},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.6319546103477478},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6096369624137878},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.6088298559188843},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5315396785736084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5112628936767578},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4501315951347351},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.4440827965736389},{"id":"https://openalex.org/C93082080","wikidata":"https://www.wikidata.org/wiki/Q5475314","display_name":"Semi-implicit Euler method","level":4,"score":0.41070133447647095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3293081223964691},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2125857174396515},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20415928959846497},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.12959527969360352},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130919167","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130919167","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.587.3218","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.587.3218","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.colorado.edu/~cai/papers/euler2013.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W90568776","https://openalex.org/W578551519","https://openalex.org/W1488573623","https://openalex.org/W1551168550","https://openalex.org/W1585773866","https://openalex.org/W1820361468","https://openalex.org/W1823032471","https://openalex.org/W1968336284","https://openalex.org/W1971879059","https://openalex.org/W1976886580","https://openalex.org/W1982763896","https://openalex.org/W1989447171","https://openalex.org/W1995561370","https://openalex.org/W1996859646","https://openalex.org/W1998659319","https://openalex.org/W2000596011","https://openalex.org/W2001593012","https://openalex.org/W2009078692","https://openalex.org/W2021412599","https://openalex.org/W2022402167","https://openalex.org/W2030207366","https://openalex.org/W2041015719","https://openalex.org/W2043068211","https://openalex.org/W2048369486","https://openalex.org/W2050900148","https://openalex.org/W2061024824","https://openalex.org/W2063217111","https://openalex.org/W2063314304","https://openalex.org/W2068484625","https://openalex.org/W2070912498","https://openalex.org/W2074809615","https://openalex.org/W2077157253","https://openalex.org/W2081998841","https://openalex.org/W2084073638","https://openalex.org/W2088521789","https://openalex.org/W2096078342","https://openalex.org/W2098920641","https://openalex.org/W2100103443","https://openalex.org/W2101912276","https://openalex.org/W2108294845","https://openalex.org/W2109913609","https://openalex.org/W2115810586","https://openalex.org/W2116166640","https://openalex.org/W2139719657","https://openalex.org/W2144385309","https://openalex.org/W2146539003","https://openalex.org/W2163517954","https://openalex.org/W2166122567","https://openalex.org/W2171303908","https://openalex.org/W2174146619","https://openalex.org/W2509362106","https://openalex.org/W3036479320","https://openalex.org/W4244520559"],"related_works":["https://openalex.org/W1621266776","https://openalex.org/W2039299714","https://openalex.org/W2417495913","https://openalex.org/W1989449808","https://openalex.org/W3162423291","https://openalex.org/W422472472","https://openalex.org/W1531454136","https://openalex.org/W2112489823","https://openalex.org/W2046217704","https://openalex.org/W2512780015"],"abstract_inverted_index":{"A":[0,61],"fully":[1],"implicit":[2,66],"solver":[3],"is":[4,51,74,98,129],"developed":[5],"for":[6,57],"the":[7,16,23,58,85,109,113,125,143,146,150,153,170,174],"mesoscale":[8],"nonhydrostatic":[9],"simulation":[10],"of":[11,119,145,152,173],"atmospheric":[12],"flows":[13],"governed":[14],"by":[15,100],"compressible":[17],"Euler":[18,24,86],"equations.":[19],"To":[20,107],"spatially":[21],"discretize":[22],"equations":[25,87],"on":[26,157],"a":[27,33,47,102,117,132,158],"height-based":[28],"terrain-following":[29],"mesh,":[30],"we":[31,115],"apply":[32],"cell-centered":[34],"finite":[35],"volume":[36],"scheme,":[37],"in":[38,88,123],"which":[39,124],"an":[40],"advection":[41],"upstream":[42],"splitting":[43],"(AUSM$^{+}$-up)":[44],"method":[45,69],"with":[46,70,160],"piecewise":[48],"linear":[49],"reconstruction":[50],"employed":[52],"to":[53,76,141,162,168],"achieve":[54],"second-order":[55,62],"accuracy":[56],"low-Mach":[59],"flow.":[60],"explicit-first-step,":[63],"single-diagonal-coefficient,":[64],"diagonally":[65],"Runge--Kutta":[67],"(ESDIRK)":[68],"adaptive":[71],"time":[72,96],"stepping":[73],"applied":[75],"stabilize":[77],"physically":[78],"insignificant":[79],"fast":[80],"waves":[81],"and":[82,111,148],"accurately":[83],"integrate":[84],"time.":[89],"The":[90],"nonlinear":[91],"system":[92],"arising":[93],"at":[94],"each":[95],"step":[97],"solved":[99],"using":[101,131],"Jacobian-free":[103],"Newton--Krylov--Schwarz":[104],"(NKS)":[105],"algorithm.":[106],"accelerate":[108],"convergence":[110],"improve":[112],"robustness,":[114],"employ":[116],"class":[118],"additive":[120],"Schwarz":[121],"preconditioners":[122],"subdomain":[126],"Jacobian":[127],"matrix":[128],"constructed":[130],"first-order":[133],"spatial":[134],"discretization.":[135],"Several":[136],"test":[137],"cases":[138],"are":[139,166],"used":[140],"validate":[142],"correctness":[144],"scheme":[147],"examine":[149],"performance":[151,172],"solver.":[154],"Large-scale":[155],"results":[156],"supercomputer":[159],"up":[161],"18,432":[163],"processor":[164],"cores":[165],"provided":[167],"show":[169],"parallel":[171],"proposed":[175],"method.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
