{"id":"https://openalex.org/W4404314273","doi":"https://doi.org/10.48550/arxiv.2410.20732","title":"An Energy Stable and Well-balanced Scheme for the Ripa System","display_name":"An Energy Stable and Well-balanced Scheme for the Ripa System","publication_year":2024,"publication_date":"2024-10-28","ids":{"openalex":"https://openalex.org/W4404314273","doi":"https://doi.org/10.48550/arxiv.2410.20732"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2410.20732","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.20732","pdf_url":"https://arxiv.org/pdf/2410.20732","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2410.20732","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101973773","display_name":"K. R. Arun","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Arun, K. R.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5087347130","display_name":"Rahuldev Ghorai","orcid":"https://orcid.org/0000-0003-0549-3417"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ghorai, Rahuldev","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101973773"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12724","display_name":"Water-Energy-Food Nexus Studies","score":0.7397000193595886,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12724","display_name":"Water-Energy-Food Nexus Studies","score":0.7397000193595886,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11220","display_name":"Water Systems and Optimization","score":0.6662999987602234,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T11202","display_name":"Cavitation Phenomena in Pumps","score":0.6658999919891357,"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/scheme","display_name":"Scheme (mathematics)","score":0.5153743624687195},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.46008041501045227},{"id":"https://openalex.org/keywords/energy-system","display_name":"Energy system","score":0.4598684012889862},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3747670352458954},{"id":"https://openalex.org/keywords/economic-system","display_name":"Economic system","score":0.3255764842033386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.174384206533432},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09535512328147888},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06578931212425232}],"concepts":[{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5153743624687195},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.46008041501045227},{"id":"https://openalex.org/C2781341389","wikidata":"https://www.wikidata.org/wiki/Q4531977","display_name":"Energy system","level":3,"score":0.4598684012889862},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3747670352458954},{"id":"https://openalex.org/C74363100","wikidata":"https://www.wikidata.org/wiki/Q273005","display_name":"Economic system","level":1,"score":0.3255764842033386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.174384206533432},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09535512328147888},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06578931212425232}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2410.20732","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.20732","pdf_url":"https://arxiv.org/pdf/2410.20732","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2410.20732","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2410.20732","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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2410.20732","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.20732","pdf_url":"https://arxiv.org/pdf/2410.20732","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4311468598","display_name":null,"funder_award_id":"CRG/2021/004078","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"}],"funders":[{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"},{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404314273.pdf","grobid_xml":"https://content.openalex.org/works/W4404314273.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2033164327","https://openalex.org/W164238414","https://openalex.org/W2331633775","https://openalex.org/W4392501413","https://openalex.org/W4285482523","https://openalex.org/W3156508385","https://openalex.org/W2501719106","https://openalex.org/W4221023619","https://openalex.org/W3164072880"],"abstract_inverted_index":{"We":[0],"design":[1],"and":[2,9,43,48,64,85,98,101],"analyse":[3],"an":[4],"energy":[5,21],"stable,":[6],"structure":[7],"preserving":[8],"well-balanced":[10],"scheme":[11,73,90],"for":[12,74],"the":[13,24,35,38,45,49,57,61,65,68,72,92,95,99,107,112,131],"Ripa":[14],"system":[15],"of":[16,23,37,41,56,60,71,94,114,118],"shallow":[17],"water":[18,62,96],"equations.":[19],"The":[20,81,116],"stability":[22],"numerical":[25,120],"solutions":[26],"is":[27,103],"achieved":[28],"by":[29],"introducing":[30],"appropriate":[31],"stabilisation":[32],"terms":[33],"in":[34,83,88,111],"discretisation":[36],"convective":[39],"fluxes":[40],"mass":[42],"momenta,":[44],"pressure":[46],"gradient":[47],"topography":[50],"source":[51],"term.":[52],"A":[53],"diligent":[54],"choice":[55],"interface":[58],"values":[59],"height":[63,97],"temperature":[66],"ensures":[67],"well-balancing":[69],"property":[70],"three":[75],"physically":[76],"relevant":[77],"hydrostatic":[78],"steady":[79],"states.":[80],"explicit":[82],"time":[84],"finite":[86],"volume":[87],"space":[89],"preserves":[91],"positivity":[93],"temperature,":[100],"it":[102],"weakly":[104],"consistent":[105],"with":[106],"continuous":[108],"model":[109],"equations":[110],"sense":[113],"Lax-Wendroff.":[115],"results":[117],"extensive":[119],"case":[121],"studies":[122],"on":[123],"benchmark":[124],"test":[125],"problems":[126],"are":[127],"presented":[128],"to":[129],"confirm":[130],"theoretical":[132],"findings.":[133]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
