{"id":"https://openalex.org/W4293692337","doi":"https://doi.org/10.1137/21m1444497","title":"A Bound-Preserving and Positivity-Preserving Path-Conservative Discontinuous Galerkin Method for Solving Five-Equation Model of Compressible Two-Medium Flows","display_name":"A Bound-Preserving and Positivity-Preserving Path-Conservative Discontinuous Galerkin Method for Solving Five-Equation Model of Compressible Two-Medium Flows","publication_year":2022,"publication_date":"2022-08-01","ids":{"openalex":"https://openalex.org/W4293692337","doi":"https://doi.org/10.1137/21m1444497"},"language":"en","primary_location":{"id":"doi:10.1137/21m1444497","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1444497","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/A5033398619","display_name":"Jian Cheng","orcid":"https://orcid.org/0000-0002-8265-2381"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jian Cheng","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5080267803","display_name":"Fan Zhang","orcid":"https://orcid.org/0000-0003-1201-9246"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fan Zhang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033398619"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.5517,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.96260314,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"44","issue":"4","first_page":"B1195","last_page":"B1220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9990000128746033,"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":0.9987999796867371,"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/mathematics","display_name":"Mathematics","score":0.7597720623016357},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7172689437866211},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.669889509677887},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6120877861976624},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.57664954662323},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4674421548843384},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.44689446687698364},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4445819854736328},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4085196256637573},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.35190314054489136},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3039172291755676},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11372524499893188},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.11112207174301147}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7597720623016357},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7172689437866211},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.669889509677887},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6120877861976624},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.57664954662323},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4674421548843384},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.44689446687698364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4445819854736328},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4085196256637573},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.35190314054489136},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3039172291755676},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11372524499893188},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11112207174301147},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1444497","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1444497","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G4212345896","display_name":null,"funder_award_id":"12031001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6127003069","display_name":null,"funder_award_id":"12001020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G973629383","display_name":null,"funder_award_id":"12171046","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1886421468","https://openalex.org/W1963841026","https://openalex.org/W1971166309","https://openalex.org/W2018823890","https://openalex.org/W2028143144","https://openalex.org/W2033525926","https://openalex.org/W2039155572","https://openalex.org/W2060699598","https://openalex.org/W2074205710","https://openalex.org/W2075808166","https://openalex.org/W2078033075","https://openalex.org/W2080839542","https://openalex.org/W2083577070","https://openalex.org/W2085961649","https://openalex.org/W2095670937","https://openalex.org/W2104463304","https://openalex.org/W2116729868","https://openalex.org/W2139449399","https://openalex.org/W2140662036","https://openalex.org/W2143454084","https://openalex.org/W2536230266","https://openalex.org/W2595826249","https://openalex.org/W2609090487","https://openalex.org/W2795012259","https://openalex.org/W2924663918","https://openalex.org/W2964325435","https://openalex.org/W3090763640","https://openalex.org/W3195310102","https://openalex.org/W4205236375"],"related_works":["https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W946352265","https://openalex.org/W2055696851","https://openalex.org/W2324487000","https://openalex.org/W4382021736","https://openalex.org/W2120874885","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2040975642"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,68],"high-order":[3,107],"path-conservative":[4,21,108],"discontinuous":[5,22,109],"Galerkin":[6,23,110],"method":[7,56,111],"to":[8,27,49],"simulate":[9],"compressible":[10,117],"two-medium":[11,60,121],"flows":[12,61,122],"by":[13],"solving":[14],"the":[15,29,51,54,78,84,105],"five-equation":[16],"transport":[17],"model.":[18],"The":[19],"proposed":[20,55,106],"discretization":[24],"is":[25,74,112],"able":[26],"satisfy":[28],"equilibrium":[30],"condition,":[31],"which":[32,102],"states":[33],"that":[34,104],"uniform":[35],"pressure":[36,66,127],"and":[37,65,70,83,89,97,119,126],"velocity":[38],"fields":[39],"are":[40,100],"preserved":[41],"around":[42],"an":[43],"isolated":[44],"material":[45],"interface.":[46],"In":[47],"order":[48],"improve":[50],"robustness":[52],"of":[53,80,86,94,115],"in":[57],"simulating":[58,116],"complex":[59],"with":[62,123],"large":[63,124],"density":[64,125],"ratios,":[67],"bound-preserving":[69],"positivity-preserving":[71],"limiting":[72],"strategy":[73],"developed":[75],"for":[76],"maintaining":[77],"bound":[79],"volume":[81],"fraction":[82],"positivity":[85],"partial":[87],"densities":[88],"internal":[90],"energy.":[91],"A":[92],"series":[93],"typical":[95],"one-":[96],"two-dimensional":[98],"cases":[99],"tested,":[101],"demonstrate":[103],"very":[113],"capable":[114],"gas-gas":[118],"gas-water":[120],"ratios.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}