### 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 variables is represented in the GSMAC method. Velocity components 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 Neuman'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 | Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B |

Volume | 54 |

Issue number | 507 |

Publication status | Published - 1988 Nov |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*,

*54*(507), 3118-3125.

**GSMAC-FEM for incompressible viscous flow analysis (a modified GSMAC method).** / Kawai, Hideki; Sawada, Tatsuo; Tanahashi, Takahiko.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*, vol. 54, no. 507, pp. 3118-3125.

}

TY - JOUR

T1 - GSMAC-FEM for incompressible viscous flow analysis (a modified GSMAC method)

AU - Kawai, Hideki

AU - Sawada, Tatsuo

AU - Tanahashi, Takahiko

PY - 1988/11

Y1 - 1988/11

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 variables is represented in the GSMAC method. Velocity components 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 Neuman'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 variables is represented in the GSMAC method. Velocity components 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 Neuman'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.

UR - http://www.scopus.com/inward/record.url?scp=0024106672&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024106672&partnerID=8YFLogxK

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 -