Abstract
This paper presents numerical simulations of steady and oscillatory lid-driven cavity flow at different Reynolds numbers with a fixed aspect ratio of 1:1. A projection method (P2 pressure correction method) is applied to solve the incompressible Navier-Stokes equations. The code is validated by comparison with published works of steady lid-driven flow at Re = 100, 400 and 1000. Oscillatory lid-driven cavity flow at different Reynolds numbers (100, 400 and 1000) at a fixed oscillation frequency has been investigated. It is observed that the oscillatory lid-driven cavity flow is substantially affected by the Reynolds number.
Highlights
Steady lid-driven cavity flow is one important benchmark for Navier-Stokes solvers due to its simple geometry and can serve as a simplified model for industrial applications like e.g. wave-induced flow in sandpits
Simulations of the oscillatory lid-driven cavity flow at a fixed oscillation frequency have been conducted at different Reynolds numbers
Published under licence by IOP Publishing Ltd by [8]. This approach facilitates a detailed study of the oscillatory lid-driven cavity flow covering a wide range of physical parameters in terms of Stokes numbers and Reynolds numbers
Summary
Steady lid-driven cavity flow is one important benchmark for Navier-Stokes solvers due to its simple geometry and can serve as a simplified model for industrial applications like e.g. wave-induced flow in sandpits (see e.g. [1]). A few studies have been carried out for flow in a square cavity driven by an oscillating wall. The steady lid-driven cavity flow at different Reynolds numbers has been investigated and compared with corresponding results obtained from [4].
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