{"id":"https://openalex.org/W4386552321","doi":"https://doi.org/10.48550/arxiv.2309.00785","title":"Weak Boundary Conditions for Lagrangian Shock Hydrodynamics: A High-Order Finite Element Implementation on Curved Boundaries","display_name":"Weak Boundary Conditions for Lagrangian Shock Hydrodynamics: A High-Order Finite Element Implementation on Curved Boundaries","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4386552321","doi":"https://doi.org/10.48550/arxiv.2309.00785"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2309.00785","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"posted-content","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/2309.00785","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110744776","display_name":"Nabil M. Atallah","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Atallah, Nabil M.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056525853","display_name":"Vladimir Tomov","orcid":"https://orcid.org/0000-0002-1846-6816"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tomov, Vladimir Z.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5087990984","display_name":"Guglielmo Scovazzi","orcid":"https://orcid.org/0000-0003-1043-6281"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Scovazzi, Guglielmo","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":70},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics","score":0.9996,"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","score":0.9996,"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/T11694","display_name":"Smoothed Particle Hydrodynamics in Fluid Dynamics","score":0.9877,"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/T11366","display_name":"Biomechanical Modeling of Arterial Tissues","score":0.9855,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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":0.521333},{"id":"https://openalex.org/keywords/finite-element-analysis","display_name":"Finite Element Analysis","score":0.516422}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.71517515},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.62534964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5670155},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.53785765},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5337516},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5285268},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.50171185},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.430969},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33828396},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32850462},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2686211},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24377093},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2309.00785","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2309.00785","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2309.00785","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"score":0.63,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2799209613","https://openalex.org/W2793786119","https://openalex.org/W2364741597","https://openalex.org/W2334479858","https://openalex.org/W2133690079","https://openalex.org/W2006251942","https://openalex.org/W1864774435","https://openalex.org/W1492103595"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,15,57],"new":[3],"Nitsche-type":[4],"approach":[5],"for":[6,14],"weak":[7],"enforcement":[8],"of":[9,18,47,82,92],"normal":[10],"velocity":[11],"boundary":[12,41],"conditions":[13],"Lagrangian":[16],"discretization":[17],"the":[19,31,45,48,54,70,83],"compressible":[20],"shock-hydrodynamics":[21],"equations":[22],"using":[23],"high-order":[24],"finite":[25],"elements":[26],"on":[27],"curved":[28,96],"boundaries.":[29,97],"Specifically,":[30],"variational":[32],"formulation":[33],"is":[34,67],"appropriately":[35],"modified":[36],"to":[37,52,62],"enforce":[38],"free-slip":[39],"wall":[40],"conditions,":[42],"without":[43],"perturbing":[44],"structure":[46],"function":[49],"spaces":[50],"used":[51],"represent":[53],"solution,":[55],"with":[56,60,88],"considerable":[58],"simplification":[59],"respect":[61],"traditional":[63],"approaches.":[64],"Total":[65],"energy":[66],"conserved":[68],"and":[69,80],"resulting":[71],"mass":[72],"matrices":[73],"are":[74,86],"constant":[75],"in":[76],"time.":[77],"The":[78],"robustness":[79],"accuracy":[81],"proposed":[84],"method":[85],"validated":[87],"an":[89],"extensive":[90],"set":[91],"tests":[93],"involving":[94],"nontrivial":[95]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4386552321","counts_by_year":[],"updated_date":"2024-10-17T15:03:07.837814","created_date":"2023-09-09"}