Art

J-GLOBAL ID：201802251792328244   Reference number：18A1417096

Numerical computation of triangular cavity flows by a Lagrange-Galerkin scheme with a locally linearized velocity

局所線形化速度を持つLagrange-Galerkinスキームによる三角キャビティ流の数値計算

Author (3)： Tabata Masahisa (Department of Mathematics, Waseda University) ,  Uchiumi Shinya (Graduate School of Fundamental Science and Engineering, Waseda University) ,  Uchiumi Shinya (Research Fellow of Japan Society for the Promotion of Science)
Material： Journal of Advanced Simulation in Science and Engineering (Web)  (日本シミュレーション学会英文誌(Web))
Volume： 4  Issue： 1  Page： 1-13(J-STAGE)  Publication year： 2018 
JST Material Number： U0612A  ISSN： 2188-5303  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *fluid flow ,  numerical calculation ,  *finite element method ,  Navier-Stokes equation ,  solution (mathematics) ,  Galerkin method ,  Reynolds number ,  branching ,  modification ,  *cavity flow ,  stationary solution ,  linearisation
Semi thesaurus term： bifurcation

Author keywords (5)： Lagrange-Galerkin scheme ,  Finite element method ,  Navier-Stokes equations ,  Exact integration ,  Cavity flow

JST classification (1)： Pipe flows  (BC02090Q)

Reference (17)：

• [1] M. Tabata: Discrepancy between theory and real computation on the stability of somefinite element schemes, Journal of Computational and Applied Mathematics, 199:2 (2007), 424-431.
• [2] M. Tabata, S. Fujima: Robustness of a characteristic finite element scheme of second order in time increment, in Computational Fluid Dynamics 2004, Toronto, 2006, 177-182.
• [3] M. Tabata, S. Uchiumi: Agenuinely stable Lagrange-Galerkin scheme for convection-diffusion problems, Japan Journal of Industrial and Applied Mathematics, 33:1 (2016), 121-143.
• [4] M. Tabata, S. Uchiumi: An exactly computable Lagrange-Galerkin scheme for the Navier-Stokes equations and its error estimates, to appear in Mathematics of Computation, 87:309 (2018), 39-67.
• [5] K. Tanaka, A. Suzuki, M. Tabata: A characteristic finite element method using the exact integration, Annual Report of Research Institute for Information Technology Kyushu University, 2 (2002), 11-18 (in Japanese).

Terms in the title (5)： 線形化 ,  スキーム ,  三角 ,  キャビティ流 ,  数値計算