Simulation of developing flow through rotating channel using Q₁Q₀ finite elements
by Krishnan V. Pagalthivarthi, Pankaj K. Gupta
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 4, No. 6, 2004

Abstract: Galerkin Finite Element Method with Q₁Q₀ (bilinear velocity-constant pressure) elements is shown to efficiently and reliably solve the elliptic equations governing developing mean flow in a channel rotating in orthogonal mode. This approach departs from the (partially) parabolic finite volume methods previously used in the literature for this classical problem. Combined quasi-Newton's iteration is used to simultaneously solve for velocity and pressure fields. The possible checkerboard effect of pressure field resulting from the use of Q₁Q₀ elements is remedied by using: (1) a graded mesh and (2) a least squares solution for the pressure field from the velocity field. Rotation-modified eddy viscosity and wall functions are introduced. Results indicate good mesh independence, agreement with solutions using Q₂Q₁ elements, and compare favourably with experiments. In particular, a significant experimental result that the pressure-side friction velocity reaches a saturation limit beyond a certain distance along the channel (i.e., beyond a critical local rotation number) is well predicted by the present study.

Online publication date: Wed, 26-May-2004

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