{"id":"https://openalex.org/W4414690675","doi":"https://doi.org/10.48550/arxiv.2507.09131","title":"Investigation of Shock-Capturing with Bound-Preserving Limiters for the Nonlinearly Stable Flux Reconstruction Method","display_name":"Investigation of Shock-Capturing with Bound-Preserving Limiters for the Nonlinearly Stable Flux Reconstruction Method","publication_year":2025,"publication_date":"2025-07-12","ids":{"openalex":"https://openalex.org/W4414690675","doi":"https://doi.org/10.48550/arxiv.2507.09131"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2507.09131","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.09131","pdf_url":"https://arxiv.org/pdf/2507.09131","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2507.09131","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109006398","display_name":"Sai Shruthi Srinivasan","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Srinivasan, Sai Shruthi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5005452306","display_name":"Siva Nadarajah","orcid":"https://orcid.org/0000-0002-3525-9165"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nadarajah, Siva","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109006398"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T12007","display_name":"Plasma and Flow Control in Aerodynamics","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T12007","display_name":"Plasma and Flow Control in Aerodynamics","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9836999773979187,"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/flux-limiter","display_name":"Flux limiter","score":0.6796000003814697},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.57669997215271},{"id":"https://openalex.org/keywords/limiter","display_name":"Limiter","score":0.5299999713897705},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4738999903202057},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4586000144481659},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44999998807907104},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4146000146865845},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.40860000252723694},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.36730000376701355}],"concepts":[{"id":"https://openalex.org/C10819784","wikidata":"https://www.wikidata.org/wiki/Q5463027","display_name":"Flux limiter","level":2,"score":0.6796000003814697},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.57669997215271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5583999752998352},{"id":"https://openalex.org/C45011657","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiter","level":2,"score":0.5299999713897705},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4925999939441681},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4738999903202057},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4586000144481659},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44999998807907104},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4146000146865845},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.40860000252723694},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.36730000376701355},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3458000123500824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3199999928474426},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3154999911785126},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.3093999922275543},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.30140000581741333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29440000653266907},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.2840999960899353},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.2818000018596649},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2800000011920929},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.2793000042438507},{"id":"https://openalex.org/C68709404","wikidata":"https://www.wikidata.org/wiki/Q1134475","display_name":"Flux (metallurgy)","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26660001277923584},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.2606000006198883},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.2574999928474426},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.2542000114917755},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.2540999948978424}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2507.09131","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.09131","pdf_url":"https://arxiv.org/pdf/2507.09131","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2507.09131","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2507.09131","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2507.09131","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.09131","pdf_url":"https://arxiv.org/pdf/2507.09131","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Nonlinearly":[0],"stable":[1],"flux":[2,20,143,231],"reconstruction":[3,144],"(NSFR)":[4],"combines":[5],"the":[6,14,34,49,59,70,79,85,90,94,119,123,127,142,155,172,184,190,196,199,206,209,221,229,243,247],"key":[7],"properties":[8],"of":[9,36,41,51,61,104,122,141,154,183,198,208,232,249,253],"provable":[10],"nonlinear":[11],"stability":[12],"with":[13,101,242],"increased":[15,259],"time":[16,177,261],"step":[17,178,262],"from":[18],"energy-stable":[19],"reconstruction.":[21],"The":[22,73,96,234,256],"NSFR":[23,52,124,185],"scheme":[24,125,156,251],"has":[25],"been":[26],"successfully":[27],"applied":[28],"to":[29,53,66,77,92,109,204,219,225,246],"unsteady":[30],"compressible":[31,167],"flows.":[32],"Through":[33],"use":[35],"a":[37,102,115,269],"bound-preserving":[38],"limiter,":[39],"positivity":[40,227],"thermodynamic":[42],"quantities":[43],"is":[44,75],"preserved,":[45],"and":[46,63,82,126,160,165,180,195,264],"this":[47,112,213],"enables":[48],"extension":[50],"hyperbolic":[54],"conservation":[55],"laws.":[56],"We":[57],"extend":[58],"limiter":[60,74],"Zhang":[62],"Shu":[64],"[1]":[65],"ensure":[67],"robustness":[68],"for":[69,228,239],"proposed":[71],"scheme.":[72,186],"modified":[76],"consider":[78],"minimum":[80],"density":[81],"pressure":[83],"at":[84],"solution":[86],"nodes":[87,194],"when":[88,267],"determining":[89],"value":[91],"scale":[93],"solution.":[95],"modifications":[97],"are":[98,150,157],"thoroughly":[99],"tested":[100,159],"suite":[103],"test":[105],"cases.":[106],"In":[107,202],"addition":[108,203],"these":[110],"modifications,":[111],"paper":[113,214],"conducts":[114],"thorough":[116],"investigation":[117,235],"into":[118],"shock-capturing":[120,181],"capabilities":[121,182],"advantages":[128,263],"it":[129],"presents":[130,216],"over":[131],"standard":[132],"discontinuous":[133],"Galerkin":[134],"(DG)":[135],"methods,":[136],"where,":[137],"on":[138],"select":[139],"variants":[140],"(FR)":[145],"scheme,":[146],"essentially":[147],"oscillation-free":[148],"solutions":[149],"demonstrated.":[151],"Various":[152],"parameters":[153,188],"extensively":[158],"analyzed":[161],"through":[162],"several":[163],"1D":[164],"2D":[166],"Euler":[168],"tests":[169,257],"that":[170],"verify":[171],"high-order":[173],"accuracy,":[174],"entropy":[175],"stability,":[176],"advantage":[179],"These":[187],"include":[189],"two-point":[191,211,230],"flux,":[192],"quadrature":[193],"strength":[197],"FR":[200,250,271],"parameter.":[201,272],"investigating":[205],"impact":[207],"various":[210],"fluxes,":[212],"also":[215],"numerical":[217],"studies":[218],"determine":[220],"CFL":[222],"condition":[223],"required":[224],"maintain":[226],"choice.":[233],"yields":[236],"insightful":[237],"results":[238,244],"all":[240],"parameters,":[241],"pertaining":[245],"type":[248],"being":[252],"special":[254],"interest.":[255],"showcase":[258],"robustness,":[260],"oscillation/overshoot":[265],"mitigation":[266],"employing":[268],"stronger":[270]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}