TY - JOUR
T1 - Gsmac-Fem for Incompressible Viscous Flow Analysis (A Modified Gsmac Method)
AU - Kawai, Hideki
AU - Sawada, Tatsuo
AU - Tanahashi, Takahiko
PY - 1988/1/1
Y1 - 1988/1/1
N2 - The GSMAC-FEM (Generalized Simplified Marker and Cell FEM) which is an extension of the SMAC-FDM is a stable and fast scheme for the incompressible viscous flow. The rotation form of the Navier-Stokes equation in which velocity and Bernoulli function are interpolated as a linear function and a constant function. This interpolation is simple and convenient in making the mesh system. On the contrary, the approximation which is mentioned above makes it difficult to analyze inlet-exit flow including the Neumann's boundary conditions. The present paper shows a modified GSMAC method which is available for high Reynolds flows with Neumann's boundary conditions (especially the pressure boundary). The modified scheme consists of an algorithm which satisfies the continuity equation much more than the previous GSMAC method.
AB - The GSMAC-FEM (Generalized Simplified Marker and Cell FEM) which is an extension of the SMAC-FDM is a stable and fast scheme for the incompressible viscous flow. The rotation form of the Navier-Stokes equation in which velocity and Bernoulli function are interpolated as a linear function and a constant function. This interpolation is simple and convenient in making the mesh system. On the contrary, the approximation which is mentioned above makes it difficult to analyze inlet-exit flow including the Neumann's boundary conditions. The present paper shows a modified GSMAC method which is available for high Reynolds flows with Neumann's boundary conditions (especially the pressure boundary). The modified scheme consists of an algorithm which satisfies the continuity equation much more than the previous GSMAC method.
KW - Direct Simulation
KW - Finite Element Method
KW - GSMAC Method
KW - HSMAC Method
KW - High Reynolds Number
KW - Incompressible Viscous Flow
KW - Neumann's Boundary Condition
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U2 - 10.1299/kikaib.54.3118
DO - 10.1299/kikaib.54.3118
M3 - Article
AN - SCOPUS:0024106672
VL - 54
SP - 3118
EP - 3125
JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
SN - 0387-5016
IS - 507
ER -