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

Hideki Kawai, Tatsuo Sawada, Takahiko Tanahashi

Research output: Contribution to journalArticle

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 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 languageEnglish
Pages (from-to)3118-3125
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume54
Issue number507
Publication statusPublished - 1988 Nov
Externally publishedYes

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viscous flow
Viscous flow
markers
Finite element method
cells
Boundary conditions
boundary conditions
Frequency division multiplexing
continuity equation
Navier-Stokes equation
Navier Stokes equations
interpolation
mesh
Interpolation
approximation

ASJC Scopus subject areas

  • Mechanical Engineering

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

In: Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, Vol. 54, No. 507, 11.1988, p. 3118-3125.

Research output: Contribution to journalArticle

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