MathématiquesPub Date : 2020-11-01DOI: 10.51257/a-v1-af512
Rodolphe Turpault
{"title":"Des schémas numériques pour la mécanique des fluides compressibles","authors":"Rodolphe Turpault","doi":"10.51257/a-v1-af512","DOIUrl":"https://doi.org/10.51257/a-v1-af512","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128278471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
MathématiquesPub Date : 2019-12-01DOI: 10.51257/a-v1-bm5220
S. Martin, O. Bonnefoy
{"title":"Méthode de Boltzmann sur réseau - Application à la mécanique des fluides","authors":"S. Martin, O. Bonnefoy","doi":"10.51257/a-v1-bm5220","DOIUrl":"https://doi.org/10.51257/a-v1-bm5220","url":null,"abstract":"Cet article est une introduction a la methode de Boltzmann sur reseau. Il s’agit d’une methode de CFD eulerienne particulierement bien adaptee pour simuler des domaines avec des geometries complexes. Elle permet de nombreux couplages multiphysiques et son aspect purement explicite permet une parallelisation aisee et une bonne scalabilite en calcul intensif. Cet article presente l’equation de Boltzmann (physique statistique), sa discretisation dans l’approximation BGK et sa mise en œuvre numerique.","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115799891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
MathématiquesPub Date : 2018-12-01DOI: 10.51257/a-v1-af122
J. Pinoli
{"title":"Exemples en topologie I - Droites, plans, courbes et objets planaires","authors":"J. Pinoli","doi":"10.51257/a-v1-af122","DOIUrl":"https://doi.org/10.51257/a-v1-af122","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130516904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
MathématiquesPub Date : 2018-12-01DOI: 10.51257/a-v1-af123
J. Pinoli
{"title":"Exemples en topologie II - Espaces produits, de vecteurs, de suites, de fonctions et de sous-ensembles","authors":"J. Pinoli","doi":"10.51257/a-v1-af123","DOIUrl":"https://doi.org/10.51257/a-v1-af123","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131804217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
MathématiquesPub Date : 2018-08-01DOI: 10.51257/a-v1-af97
J. Pinoli
{"title":"Espaces topologiques I - Notions de base","authors":"J. Pinoli","doi":"10.51257/a-v1-af97","DOIUrl":"https://doi.org/10.51257/a-v1-af97","url":null,"abstract":"","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128880071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
MathématiquesPub Date : 2018-07-10DOI: 10.51257/a-v1-af98
J. Pinoli
{"title":"Espaces topologiques II - Espaces particuliers","authors":"J. Pinoli","doi":"10.51257/a-v1-af98","DOIUrl":"https://doi.org/10.51257/a-v1-af98","url":null,"abstract":"La topologie generale est la branche des mathematiques qui traite des notions fondamentales utilisees en topologie et de leurs proprietes. Les interets theoriques et applicatifs se situent dans toutes les branches de l’analyse et de la geometrie, et aussi dans de nombreuses autres disciplines scientifiques non mathematiques. Cet article (en deux parties) porte sur les espaces topologiques. La premiere partie traitait des notions de base relatives aux espaces metriques generaux. Cette seconde partie traite d’espaces topologiques particuliers, des espaces d’applications entre espaces topologiques, et des espaces de sous-ensembles d’un espace topologique ambiant.","PeriodicalId":276511,"journal":{"name":"Mathématiques","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127289831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}