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

Hideki Kawai, Yasumasa Katoh, Tatsuo Sawada, Takahiko Tanahashi

Research output: Contribution to journalArticle

7 Citations (Scopus)


The GSMAC-FEM (generalized simplified marker and cell FEM), which is an extension of the SMAC-FDM, is a stable and fast scheme for an incompressible viscous flow. The rotational form of the Navier-Stokes equations in which velocity and the Bernoulli function are variables is used in the GSMAC method. Velocity components and Bernoulli function are interpolated as a linear function and a constant function, respectively. This interpolation is simple and convenient for creating the mesh system. However, the approximation which is mentioned above makes it difficult to analyze inlet-outlet flows including the Neumann boundary conditions. The present paper shows a new modified GSMAC method which is applicable to high Reynolds flows with Neumann boundary condition (especially the pressure boundary).

Original languageEnglish
Pages (from-to)17-25
Number of pages9
JournalJSME international journal
Issue number1
Publication statusPublished - 1990 Feb 1
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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