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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