{"id":"https://openalex.org/W2046356862","doi":"https://doi.org/10.5555/1272690.1272719","title":"Weakly compressible SPH for free surface flows","display_name":"Weakly compressible SPH for free surface flows","publication_year":2007,"publication_date":"2007-08-03","ids":{"openalex":"https://openalex.org/W2046356862","doi":"https://doi.org/10.5555/1272690.1272719","mag":"2046356862"},"language":"en","primary_location":{"id":"pmh:oai:freidok.uni-freiburg.de:87506","doi":null,"is_oa":false,"landing_page_url":"https://freidok.uni-freiburg.de/data/87506","pdf_url":null,"source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proc. ACM SIGGRAPH / Eurographics Symposium on Computer Animation. - 63 - 72","raw_type":"conference_object"},"volume":null,"type":"conference-paper","indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Markus M. Becker","orcid":"https://orcid.org/0000-0001-9324-3236","observed_orcids":["https://orcid.org/0000-0001-9324-3236"]},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus M. Becker","raw_affiliation_strings":["Univ. of Freiburg"],"raw_orcid":"https://orcid.org/0000-0001-9324-3236","affiliations":[{"raw_affiliation_string":"Univ. of Freiburg","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110254982","display_name":"Matthias Teschner","orcid":"https://orcid.org/0000-0002-4214-3996","observed_orcids":["https://orcid.org/0000-0002-4214-3996","https://orcid.org/0000-0002-4286-7388"]},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matthias Teschner","raw_affiliation_strings":["Univ. of Freiburg"],"raw_orcid":"https://orcid.org/0000-0002-4214-3996","affiliations":[{"raw_affiliation_string":"Univ. of Freiburg","institution_ids":["https://openalex.org/I161046081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":null,"apc_paid":null,"fwci":25.9804,"has_fulltext":false,"cited_by_count":373,"citation_normalized_percentile":{"value":0.9970157,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"209","last_page":"217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9994999766349792,"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9994999766349792,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/smoothed-particle-hydrodynamics","display_name":"smoothed particle hydrodynamics","score":0.9070000052452087},{"id":"https://openalex.org/keywords/weakly-compressible-sph","display_name":"weakly compressible SPH","score":0.9670000076293945},{"id":"https://openalex.org/keywords/free-surface-flow","display_name":"free surface flow","score":0.9409999847412109},{"id":"https://openalex.org/keywords/tait-equation","display_name":"Tait equation","score":0.996999979019165},{"id":"https://openalex.org/keywords/surface-tension-model","display_name":"surface tension model","score":0.781000018119812},{"id":"https://openalex.org/keywords/density-fluctuations","display_name":"density fluctuations","score":0.7730000019073486},{"id":"https://openalex.org/keywords/projection-method","display_name":"projection method","score":0.515999972820282},{"id":"https://openalex.org/keywords/poisson-equation","display_name":"Poisson equation","score":0.8109999895095825},{"id":"https://openalex.org/keywords/low-viscosity-fluids","display_name":"low-viscosity liquids","score":0.7789999842643738},{"id":"https://openalex.org/keywords/splashing","display_name":"splashing","score":0.9580000042915344},{"id":"https://openalex.org/keywords/wave-breaking","display_name":"wave breaking","score":0.878000020980835}],"concepts":[{"id":"https://openalex.org/C122564879","wikidata":"https://www.wikidata.org/wiki/Q733073","display_name":"Smoothed-particle hydrodynamics","level":2,"score":0.8518493175506592},{"id":"https://openalex.org/C8892853","wikidata":"https://www.wikidata.org/wiki/Q170749","display_name":"Surface tension","level":2,"score":0.6892669796943665},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6859214901924133},{"id":"https://openalex.org/C171889981","wikidata":"https://www.wikidata.org/wiki/Q1454008","display_name":"Free surface","level":2,"score":0.591040849685669},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.5536537766456604},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5361397862434387},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.5267783403396606},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5237056016921997},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.5145346522331238},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.5073558688163757},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.49689629673957825},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4943971633911133},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.45532041788101196},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4447086453437805},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4202461540699005},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3292638957500458},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32148247957229614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24006283283233643},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23106986284255981},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1514432728290558},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13562598824501038},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1343119740486145},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.10564351081848145},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:freidok.uni-freiburg.de:87506","doi":null,"is_oa":false,"landing_page_url":"https://freidok.uni-freiburg.de/data/87506","pdf_url":null,"source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proc. ACM SIGGRAPH / Eurographics Symposium on Computer Animation. - 63 - 72","raw_type":"conference_object"},{"id":"mag:2046356862","doi":"https://doi.org/10.5555/1272690.1272719","is_oa":false,"landing_page_url":"https://www.researchgate.net/profile/Matthias_Teschner/publication/220789258_Weakly_compressible_SPH_for_free_surface_flows/links/54a95f0b0cf256bf8bb95b32.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306420970","display_name":"Symposium on Computer Animation","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Symposium on Computer Animation","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W20410181","https://openalex.org/W59017484","https://openalex.org/W1492479673","https://openalex.org/W1504816995","https://openalex.org/W1589865262","https://openalex.org/W1968312755","https://openalex.org/W1973600879","https://openalex.org/W1977843797","https://openalex.org/W1980950762","https://openalex.org/W1981382127","https://openalex.org/W1990494174","https://openalex.org/W1994812575","https://openalex.org/W2006698895","https://openalex.org/W2009903154","https://openalex.org/W2010931591","https://openalex.org/W2017765063","https://openalex.org/W2044602433","https://openalex.org/W2054065283","https://openalex.org/W2060003021","https://openalex.org/W2062053875","https://openalex.org/W2064376219","https://openalex.org/W2070711834","https://openalex.org/W2075638374","https://openalex.org/W2080568092","https://openalex.org/W2098588961","https://openalex.org/W2099945117","https://openalex.org/W2104805498","https://openalex.org/W2118606162","https://openalex.org/W2121683839","https://openalex.org/W2123319606","https://openalex.org/W2125232223","https://openalex.org/W2126195192","https://openalex.org/W2126370801","https://openalex.org/W2128600584","https://openalex.org/W2132599750","https://openalex.org/W2134066908","https://openalex.org/W2140209904","https://openalex.org/W2142688536","https://openalex.org/W2143745655","https://openalex.org/W2153718562","https://openalex.org/W2156990066","https://openalex.org/W2171698109","https://openalex.org/W2184189207","https://openalex.org/W2220625991","https://openalex.org/W2229412420","https://openalex.org/W2260701546","https://openalex.org/W2293372129","https://openalex.org/W2295821368","https://openalex.org/W2475268220","https://openalex.org/W2761843653","https://openalex.org/W4252833217","https://openalex.org/W6888760925"],"related_works":["https://openalex.org/W7098867994","https://openalex.org/W2561867200","https://openalex.org/W1757479639","https://openalex.org/W2084656800","https://openalex.org/W3104422550","https://openalex.org/W2223278456","https://openalex.org/W4320351986","https://openalex.org/W2000924118","https://openalex.org/W1991041862","https://openalex.org/W2058238511"],"abstract_inverted_index":{"We":[0,47],"present":[1],"a":[2],"weakly":[3],"compressible":[4],"form":[5],"of":[6,76],"the":[7,18,35,74,77,84],"Smoothed":[8],"Particle":[9],"Hydrodynamics":[10],"method":[11],"(SPH)":[12],"for":[13,34,42,59,79,100],"fluid":[14],"flow":[15],"based":[16],"on":[17],"Tait":[19],"equation.":[20],"In":[21],"contrast":[22],"to":[23,68],"commonly":[24],"employed":[25],"projection":[26],"approaches":[27],"that":[28,55],"strictly":[29],"enforce":[30],"incompressibility,":[31],"time-consuming":[32],"solvers":[33],"Poisson":[36],"equation":[37],"are":[38,112],"avoided":[39],"by":[40],"allowing":[41],"small,":[43],"user-defined":[44],"density":[45],"fluctuations.":[46],"also":[48],"discuss":[49],"an":[50],"improved":[51],"surface":[52,81],"tension":[53],"model":[54,65],"is":[56,66,98],"particularly":[57],"appropriate":[58,99],"single-phase":[60],"free-surface":[61],"flows.":[62,82],"The":[63,96],"proposed":[64,85],"compared":[67],"existing":[69],"models":[70],"and":[71,102,109],"experiments":[72],"illustrate":[73],"accuracy":[75],"approach":[78,97],"free":[80],"Combining":[83],"methods,":[86],"volume-preserving":[87],"low-viscosity":[88],"liquids":[89],"can":[90],"be":[91],"efficiently":[92],"simulated":[93],"using":[94],"SPH.":[95],"medium-scale":[101],"small-scale":[103],"phenomena.":[104],"Effects":[105],"such":[106],"as":[107],"splashing":[108],"breaking":[110],"waves":[111],"naturally":[113],"handled.":[114]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":32},{"year":2020,"cited_by_count":23},{"year":2019,"cited_by_count":29},{"year":2018,"cited_by_count":26},{"year":2017,"cited_by_count":27},{"year":2016,"cited_by_count":32},{"year":2015,"cited_by_count":26},{"year":2014,"cited_by_count":24},{"year":2013,"cited_by_count":26},{"year":2012,"cited_by_count":16}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
