Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1982040517', 'doi': 'https://doi.org/10.1016/s0045-7930(99)00026-2', 'title': 'A sequel to a rough Godunov scheme: application to real gases', 'display_name': 'A sequel to a rough Godunov scheme: application to real gases', 'publication_year': 2000, 'publication_date': '2000-07-01', 'ids': {'openalex': 'https://openalex.org/W1982040517', 'doi': 'https://doi.org/10.1016/s0045-7930(99)00026-2', 'mag': '1982040517'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/s0045-7930(99)00026-2', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S195914795', 'display_name': 'Computers & Fluids', 'issn_l': '0045-7930', 'issn': ['0045-7930', '1879-0747'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5054331482', 'display_name': 'Thierry Buffard', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I169645620', 'display_name': 'Institut Pascal', 'ror': 'https://ror.org/03vgfxd91', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I169645620', 'https://openalex.org/I198244214', 'https://openalex.org/I4210095849']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'Thierry Buffard', 'raw_affiliation_strings': ['Laboratoire de mathématiques appliquées, université Blaise-Pascal, 63177 Aubière cedex, France'], 'affiliations': [{'raw_affiliation_string': 'Laboratoire de mathématiques appliquées, université Blaise-Pascal, 63177 Aubière cedex, France', 'institution_ids': ['https://openalex.org/I169645620']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5105003132', 'display_name': 'Thierry Gallouët', 'orcid': 'https://orcid.org/0000-0003-4394-2615'}, 'institutions': [{'id': 'https://openalex.org/I4210138206', 'display_name': 'Institut de Mathématiques de Marseille', 'ror': 'https://ror.org/042h2y225', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I21491767', 'https://openalex.org/I4210138206', 'https://openalex.org/I4210141950', 'https://openalex.org/I4210142724']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'Thierry Gallouët', 'raw_affiliation_strings': ['Centre de Mathématiques et Informatique, Université de Provence, 39, rue Joliot Curie, 13453 Marseille Cedex 13, France'], 'affiliations': [{'raw_affiliation_string': 'Centre de Mathématiques et Informatique, Université de Provence, 39, rue Joliot Curie, 13453 Marseille Cedex 13, France', 'institution_ids': ['https://openalex.org/I4210138206']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5087719777', 'display_name': 'Jean-Marc Hérard', 'orcid': 'https://orcid.org/0000-0001-9099-6072'}, 'institutions': [{'id': 'https://openalex.org/I4210143116', 'display_name': 'Électricité de France (France)', 'ror': 'https://ror.org/03wb8xz10', 'country_code': 'FR', 'type': 'company', 'lineage': ['https://openalex.org/I4210143116']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'Jean-Marc Hérard', 'raw_affiliation_strings': ['Département Laboratoire National d’Hydraulique, Electricité de France, 6, Quai Watier 78401, Chatou Cedex, France'], 'affiliations': [{'raw_affiliation_string': 'Département Laboratoire National d’Hydraulique, Electricité de France, 6, Quai Watier 78401, Chatou Cedex, France', 'institution_ids': ['https://openalex.org/I4210143116']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 3860, 'currency': 'USD', 'value_usd': 3860, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 7.079, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 127, 'citation_normalized_percentile': {'value': 0.96721, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 96, 'max': 97}, 'biblio': {'volume': '29', 'issue': '7', 'first_page': '813', 'last_page': '847'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10173', 'display_name': 'Computational Fluid Dynamics', 'score': 1.0, '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': 1.0, '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/T11012', 'display_name': 'Mathematical Topics in Collisional Kinetic Theory', 'score': 0.9998, '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/T10360', 'display_name': 'Turbulent Flows and Vortex Dynamics', 'score': 0.9993, '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/godunovs-scheme', 'display_name': "Godunov's scheme", 'score': 0.9104301}, {'id': 'https://openalex.org/keywords/roe-solver', 'display_name': 'Roe solver', 'score': 0.82916725}, {'id': 'https://openalex.org/keywords/discontinuity', 'display_name': 'Discontinuity (linguistics)', 'score': 0.66731215}, {'id': 'https://openalex.org/keywords/euler-system', 'display_name': 'Euler system', 'score': 0.4915665}, {'id': 'https://openalex.org/keywords/turbulence-modeling', 'display_name': 'Turbulence Modeling', 'score': 0.474902}], 'concepts': [{'id': 'https://openalex.org/C146705398', 'wikidata': 'https://www.wikidata.org/wiki/Q4291826', 'display_name': "Godunov's scheme", 'level': 3, 'score': 0.9104301}, {'id': 'https://openalex.org/C171520575', 'wikidata': 'https://www.wikidata.org/wiki/Q7357538', 'display_name': 'Roe solver', 'level': 4, 'score': 0.82916725}, {'id': 'https://openalex.org/C120796332', 'wikidata': 'https://www.wikidata.org/wiki/Q6153788', 'display_name': 'Riemann solver', 'level': 3, 'score': 0.8249315}, {'id': 'https://openalex.org/C40709475', 'wikidata': 'https://www.wikidata.org/wiki/Q2152221', 'display_name': 'Riemann problem', 'level': 3, 'score': 0.7802775}, {'id': 'https://openalex.org/C2777042112', 'wikidata': 'https://www.wikidata.org/wiki/Q5281658', 'display_name': 'Discontinuity (linguistics)', 'level': 2, 'score': 0.66731215}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5968421}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.5929546}, {'id': 'https://openalex.org/C199479865', 'wikidata': 'https://www.wikidata.org/wiki/Q205966', 'display_name': 'Riemann hypothesis', 'level': 2, 'score': 0.5317078}, {'id': 'https://openalex.org/C77618280', 'wikidata': 'https://www.wikidata.org/wiki/Q1155772', 'display_name': 'Scheme (mathematics)', 'level': 2, 'score': 0.5099536}, {'id': 'https://openalex.org/C2777303404', 'wikidata': 'https://www.wikidata.org/wiki/Q759757', 'display_name': 'Convergence (economics)', 'level': 2, 'score': 0.5058715}, {'id': 'https://openalex.org/C2781217745', 'wikidata': 'https://www.wikidata.org/wiki/Q1053779', 'display_name': 'Euler system', 'level': 3, 'score': 0.4915665}, {'id': 'https://openalex.org/C38409319', 'wikidata': 'https://www.wikidata.org/wiki/Q375175', 'display_name': 'Euler equations', 'level': 2, 'score': 0.4884452}, {'id': 'https://openalex.org/C57869625', 'wikidata': 'https://www.wikidata.org/wiki/Q1783502', 'display_name': 'Rate of convergence', 'level': 3, 'score': 0.44732803}, {'id': 'https://openalex.org/C50478463', 'wikidata': 'https://www.wikidata.org/wiki/Q1401936', 'display_name': 'Finite volume method', 'level': 2, 'score': 0.3096003}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.29886955}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.24793926}, {'id': 'https://openalex.org/C48753275', 'wikidata': 'https://www.wikidata.org/wiki/Q11216', 'display_name': 'Numerical analysis', 'level': 2, 'score': 0.14828205}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.11475161}, {'id': 'https://openalex.org/C57879066', 'wikidata': 'https://www.wikidata.org/wiki/Q41217', 'display_name': 'Mechanics', 'level': 1, 'score': 0.11282563}, {'id': 'https://openalex.org/C31258907', 'wikidata': 'https://www.wikidata.org/wiki/Q1301371', 'display_name': 'Computer network', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C127162648', 'wikidata': 'https://www.wikidata.org/wiki/Q16858953', 'display_name': 'Channel (broadcasting)', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C50522688', 'wikidata': 'https://www.wikidata.org/wiki/Q189833', 'display_name': 'Economic growth', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/s0045-7930(99)00026-2', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S195914795', 'display_name': 'Computers & Fluids', 'issn_l': '0045-7930', 'issn': ['0045-7930', '1879-0747'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-01579990', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://hal.science/hal-01579990', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 36, 'referenced_works': ['https://openalex.org/W1537224157', 'https://openalex.org/W1549748890', 'https://openalex.org/W1554134448', 'https://openalex.org/W1583892864', 'https://openalex.org/W1969921010', 'https://openalex.org/W1984108250', 'https://openalex.org/W1987540443', 'https://openalex.org/W1990653832', 'https://openalex.org/W1993811803', 'https://openalex.org/W2008179816', 'https://openalex.org/W2020966259', 'https://openalex.org/W2032624437', 'https://openalex.org/W2038991247', 'https://openalex.org/W2041314330', 'https://openalex.org/W2043057066', 'https://openalex.org/W2051419690', 'https://openalex.org/W2059848923', 'https://openalex.org/W2060976754', 'https://openalex.org/W2068056613', 'https://openalex.org/W2070912498', 'https://openalex.org/W2073888074', 'https://openalex.org/W2086704181', 'https://openalex.org/W2145968535', 'https://openalex.org/W2335175302', 'https://openalex.org/W2762313317', 'https://openalex.org/W2795407492', 'https://openalex.org/W296158456', 'https://openalex.org/W2997251819', 'https://openalex.org/W3133679531', 'https://openalex.org/W34574015', 'https://openalex.org/W386304342', 'https://openalex.org/W408041661', 'https://openalex.org/W4206139584', 'https://openalex.org/W4245037559', 'https://openalex.org/W4285719527', 'https://openalex.org/W997105926'], 'related_works': ['https://openalex.org/W4295135832', 'https://openalex.org/W2357877681', 'https://openalex.org/W2064526547', 'https://openalex.org/W2036623811', 'https://openalex.org/W2001126285', 'https://openalex.org/W1982040517', 'https://openalex.org/W1980365163', 'https://openalex.org/W1980014272', 'https://openalex.org/W1977614220', 'https://openalex.org/W1681011433'], 'abstract_inverted_index': {'We': [0], 'present': [1], 'here': [2], 'an': [3, 21], 'approximate': [4], 'Riemann': [5, 44], 'solver': [6], 'to': [7, 41], 'compute': [8], 'Euler': [9], 'equations': [10], 'using': [11], 'real': [12], 'gas': [13], 'state': [14], 'laws.': [15], 'The': [16, 62], 'scheme': [17, 59], 'is': [18, 60], 'based': [19], 'on': [20], 'earlier': [22], 'proposition,': [23], 'called': [24], 'VFRoe,': [25], 'introduced': [26], 'by': [27], 'one': [28], 'of': [29, 35, 52, 55, 57], 'the': [30, 47, 58], 'authors.': [31], 'It': [32], 'makes': [33], 'use': [34], 'non': [36], 'conservative': [37], 'variables': [38], 'in': [39], 'order': [40], 'preserve': [42], 'numerically': [43], 'invariants': [45], 'through': [46], 'contact': [48], 'discontinuity.': [49], 'Detailed': [50], 'investigation': [51], 'actual': [53], 'rate': [54], 'convergence': [56], 'reported.': [61], 'study': [63], 'also': [64], 'includes': [65], 'a': [66], 'comparison': [67], 'with': [68], 'original': [69], 'VFRoe': [70], 'and': [71], 'Roe': [72], 'schemes.': [73]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1982040517', 'counts_by_year': [{'year': 2023, 'cited_by_count': 4}, {'year': 2022, 'cited_by_count': 4}, {'year': 2021, 'cited_by_count': 4}, {'year': 2020, 'cited_by_count': 4}, {'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 3}, {'year': 2017, 'cited_by_count': 5}, {'year': 2016, 'cited_by_count': 8}, {'year': 2015, 'cited_by_count': 2}, {'year': 2014, 'cited_by_count': 5}, {'year': 2013, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 10}], 'updated_date': '2024-08-20T06:07:02.229605', 'created_date': '2016-06-24'}