Gsmac-Fem for Incompressible Viscous Flow Analysis (A Modified Gsmac Method)

Hideki Kawai; Tatsuo Sawada; Takahiko Tanahashi

doi:10.1299/kikaib.54.3118

Gsmac-Fem for Incompressible Viscous Flow Analysis (A Modified Gsmac Method)

Hideki Kawai, Tatsuo Sawada, Takahiko Tanahashi

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	3118-3125
Number of pages	8
Journal	Transactions of the Japan Society of Mechanical Engineers Series B
Volume	54
Issue number	507
DOIs	https://doi.org/10.1299/kikaib.54.3118
Publication status	Published - 1988
Externally published	Yes

Keywords

Direct Simulation
Finite Element Method
GSMAC Method
HSMAC Method
High Reynolds Number
Incompressible Viscous Flow
Neumann's Boundary Condition

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering

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10.1299/kikaib.54.3118

Cite this

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title = "Gsmac-Fem for Incompressible Viscous Flow Analysis (A Modified Gsmac Method)",

abstract = "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.",

keywords = "Direct Simulation, Finite Element Method, GSMAC Method, HSMAC Method, High Reynolds Number, Incompressible Viscous Flow, Neumann's Boundary Condition",

author = "Hideki Kawai and Tatsuo Sawada and Takahiko Tanahashi",

year = "1988",

doi = "10.1299/kikaib.54.3118",

language = "English",

volume = "54",

pages = "3118--3125",

journal = "Transactions of the Japan Society of Mechanical Engineers Series B",

issn = "0387-5016",

publisher = "Japan Society of Mechanical Engineers",

number = "507",

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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

Y1 - 1988

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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JO - Transactions of the Japan Society of Mechanical Engineers Series B

JF - Transactions of the Japan Society of Mechanical Engineers Series B

IS - 507

ER -

Gsmac-Fem for Incompressible Viscous Flow Analysis (A Modified Gsmac Method)

Abstract

Keywords

ASJC Scopus subject areas

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