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2004•PROCEEDINGS OF HYDRAULIC ENGINEERINGOpen access

C-HSMAC METHOD FOR INCOMPRESSIBLE FLOWS WITH UNSTRUCTURED COLLOCATED GRID SYSTEM

Yohei OKUYAMA, Satoru Ushijima

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Abstract

A pressure computation method for incompressible fluid flows is investigated in the unstructured collocated grid system. The governing equations are discretized with a finite volume method. The CBP (Cell-Boundary Pressure) scheme, which was proposed in the structured grid, is used to calculate the cell-center velocity components in the prediction stage. The C-HSMAC method is applied to obtain the pressure distribution which makes the velocity field satisfy the continuity equation. In the unstructured grid, the pressure gradient used in the C-HSMAC method is evaluated on the cell boundary from the line integral around the neighboring two cells. In order to confirm the validity of the proposed computational method, it was applied to the flows in a cavity and meandering channels.

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A pressure computation method for incompressible fluid flows is investigated in the unstructured collocated grid system. The governing equations are discretized with a finite volume method. The CBP (Cell-Boundary Pressure) scheme, which was proposed in the structured grid, is used to calculate the cell-center velocity components in the prediction stage. The C-HSMAC method is applied to obtain the pressure distribution which makes the velocity field satisfy the continuity equation. In the unstructured grid, the pressure gradient used in the C-HSMAC method is evaluated on the cell boundary from the line integral around the neighboring two cells. In order to confirm the validity of the proposed computational method, it was applied to the flows in a cavity and meandering channels.

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Available abstract

A pressure computation method for incompressible fluid flows is investigated in the unstructured collocated grid system. The governing equations are discretized with a finite volume method. The CBP (Cell-Boundary Pressure) scheme, which was proposed in the structured grid, is used to calculate the cell-center velocity components in the prediction stage. The C-HSMAC method is applied to obtain the pressure distribution which makes the velocity field satisfy the continuity equation. In the unstructured grid, the pressure gradient used in the C-HSMAC method is evaluated on the cell boundary from the line integral around the neighboring two cells. In order to confirm the validity of the proposed computational method, it was applied to the flows in a cavity and meandering channels.

Key concepts: Unstructured grid, Pressure-correction method, Discretization, Compressibility, Grid, Finite volume method, Boundary (topology), Computation

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C-HSMAC METHOD FOR INCOMPRESSIBLE FLOWS WITH UNSTRUCTURED COLLOCATED GRID SYSTEM — Research Paper | ScholarLens