Numerical simulation of 3-D Incompressible Unsteady Viscous Laminar Flows : The Test Problems

Deville, Michel; Lê, T. H.; Morchoisne, Y.

doi:10.1007/978-3-663-00221-5_1

Cited by 11 publications

(13 citation statements)

References 9 publications

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“…An attempt to study three-dimensional flow structures was undertaken in a series of benchmark exercises. 32 However, as was already stated by Albensoeder and Kuhlmann, 20 the results remained inconclusive due to a significant disagreement between numerical solutions obtained by different methods at different resolutions.…”

Section: Introductionmentioning

confidence: 70%

Oscillatory instability of a three-dimensional lid-driven flow in a cube

Feldman

Gelfgat

2010

Physics of Fluids

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A series of time-dependent three-dimensional ͑3D͒ computations of a lid-driven flow in a cube with no-slip boundaries is performed to find the critical Reynolds number corresponding to the steady-oscillatory transition. The computations are done in a fully coupled pressure-velocity formulation on 104 3 , 152 3 , and 200 3 stretched grids. Grid-independence of the results is established. It is found that the oscillatory instability of the flow sets in via a subcritical symmetry-breaking Hopf bifurcation at Re cr Ϸ 1914 with the nondimensional frequency = 0.575. Three-dimensional patterns in the steady and oscillatory flow regimes are compared with the previously studied two-dimensional configuration and a three-dimensional model with periodic boundary conditions imposed in the spanwise direction.

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Section: Introductionmentioning

confidence: 70%

Oscillatory instability of a three-dimensional lid-driven flow in a cube

Feldman

Gelfgat

2010

Physics of Fluids

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“…In order to clarify the observed three-dimensional flow structures numerically, a series of benchmark tests for the lid-driven square cavity was undertaken for a Reynolds number of 3200. The results, however, published in Deville et al [15], remained inconclusive, because the numerical solutions obtained by different methods and resolutions scattered significantly. An important point in this regard is the fact that end-wall effects in finite-length systems can, to a certain degree, suppress the intrinsic three-dimensional flow instabilities in the bulk of the cavity [2].…”

Section: Introductionmentioning

confidence: 89%

Accurate three-dimensional lid-driven cavity flow

Albensoeder

Kuhlmann

2005

Journal of Computational Physics

195

165

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“…Third, the regular geometry and easily posed boundary conditions have made this flow a popular test case for computational schemes, giving rise to a need for an accurate data base against which such schemes may be validated [2]. Research into the liddriven cavity flow structure is an area of continuing interest and was selected for a benchmark study in a major international workshop [3]. Hou et al [4] have used the lattice Boltzmann method for simulation of the cavity flow.…”

Section: Introductionmentioning

confidence: 99%

Development of a source code to analyze the effect of Reynolds number on a square lid driven cavity

Rahi

Mortuza

Al-Faruk

2018

Journal of Mechanical and Energy Engineering

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Numerical simulations of two-dimensional, steady, incompressible lid driven flow in a square cavity were investigated in this work. A commercial finite volume package of ANSYS-FLUENT was used to analyze and visualize the nature of the flow inside the cavity at different Reynolds Numbers. In addition, a MATLAB code was developed and validated by comparing the results with the reference values from literature. Staggered grid was employed in the discretization of the cavity to avoid checkerboard pressure while developing the code. The governing equations were discretized in terms of velocity and pressure fields. The artificial compressibility method was used to de-couple the pressure and velocity terms in the governing equations. A 129×129 grid system was used in both cases. The effects of Reynolds number (100 on the flow characteristics were illustrated through an analysis of stream function, velocity vector, pressure coefficient and velocity contours. The thinning of the wall boundary layers with an increase in the Reynolds number is evident from the u and v velocity profiles along the vertical and horizontal lines at the geometric center, although the rate of this thinning is very slow for Re > 5000.

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Numerical simulation of 3-D Incompressible Unsteady Viscous Laminar Flows : The Test Problems

Cited by 11 publications

References 9 publications

Oscillatory instability of a three-dimensional lid-driven flow in a cube

Oscillatory instability of a three-dimensional lid-driven flow in a cube

Accurate three-dimensional lid-driven cavity flow

Development of a source code to analyze the effect of Reynolds number on a square lid driven cavity

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