DQM to Simulate 3D Vortex Structure of Cuboid Cavity Driven Flow

He, Shanshan; Zhang, Li Xiang; Xu, Tian Mao

doi:10.4028/www.scientific.net/amr.671-674.1588

Cited by 4 publications

(3 citation statements)

References 9 publications

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“…The pressure correction for the iteration of 1 + n layer is implemented with the SIMPLE algorithm. For details, see [11].…”

Section: Problem Description and Solution Methodsmentioning

confidence: 99%

Effects of Reynolds Number on Vortex Structure Evolution in a Square Cavity with Two Opposite Moving Lids

Zhang

et al. 2014

AMM

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The vortex structure of two-dimensional flow in a cavity is calculated using the differential quadrature method. The numerical simulation focuses on investigating the effects of Reynolds number on vortex structure evolution of the flow in a square cavity with two opposite and equal speed moving lids. The streamline patterns and bifurcation diagrams are determined. The numerical results show that the flow in the cavity takes on the streamline pattern of completely symmetric vortex structure when the Reynolds number approaches zero. With the Reynolds number increasing, the sizes and center positions of the sub-vortexes appear to be affected, whereas the saddle point is still located at the cavity center, resulting in a skewed flow pattern in the cavity. It is observed that one large vortex occupies the entire cavity and the shape of the large vortex becomes more circular after a critical value of the Reynolds number is exceeded. If the Reynolds number is increased further, two secondary eddies emerge simultaneously on the upper left corner and the lower right corner near the sidewalls. The center of the large vortex is invariably located at the cavity centre. For different Reynolds numbers, the streamline patterns are symmetric about the cavity center which is always a stagnation point.

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“…The pressure correction for the iteration of 1 + n layer is implemented with the SIMPLE algorithm. For details, see [11].…”

Section: Problem Description and Solution Methodsmentioning

confidence: 99%

Effects of Reynolds Number on Vortex Structure Evolution in a Square Cavity with Two Opposite Moving Lids

Zhang

et al. 2014

AMM

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“…The flow configurations simulated by the differential quadrature method are used to verify the above theoretical explanation of the symmetry of the vortex structure in the cavity. About the computational principle and algorithm of differential quadrature method, see [13]. About the quality and accuracy of differential quadrature code used to solve two-dimensional incompressible flow in a cavity, see [12].…”

Section: Numerical Validationmentioning

confidence: 99%

Study on the Symmetry of Vortex Structure Distribution in a Cavity

He¹,

Shen²,

Yang³

2017

dtmse

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The symmetric distribution characteristics of vortex structure of two-dimensional steady flow in a cavity are obtained by theoretical analysis and numerical verification. Based on establishing the non-dimensional governing equations and its boundary conditions used to describe the flow, the symmetric distribution law of vortex structure of cavity driven flow with different Reynolds numbers, depth-to-width ratios and speed ratios is explained theoretically. The computational fluid dynamics method (CFD) is applied to simulate cavity driven flow and to verify the theoretical analysis. For two equal speeds and opposite driving lids, the vortex structure is symmetric about the center of the rectangular cavity. For two lids driving with equal speeds and in the same direction, the vortex structure is symmetric about the horizontal centerline of the rectangular cavity. When Reynolds number approaches zero, the vortex structure is symmetric about the vertical centerline of the rectangular cavity.

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“…The pressure correction for the iteration of 1 + n layer is implemented with the SIMPLE algorithm. For details, see [5]. About the quality and accuracy of differential quadrature code used to solve two-dimensional incompressible steady flow in a square cavity see [6].…”

Section: Governing Equations and Numerical Solutionmentioning

confidence: 99%

Study on Vortex Evolution Processes of Transient Driven Flow in a Square Cavity

Zhang

et al. 2014

AMM

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The transient vortex structure evolution process of two-dimensional flow in a driven square cavity with one moving end was studied. The time curves of flow field variables, the flow patterns of different specific moments and the required times of flow field from static to statistical steady state were comparatively analyzed for different Reynolds numbers. Transient simulating results show that the nascent vortices always appear near the boundaries in the initial driving stage, then gradually move away from the boundaries to form a large vortex almost occupying entire cavity and two secondary vortices in left and right corners of the cavity bottom. The greater the Reynolds numbers, the longer the required times of the flow field reaching by the statistical steady state, also, the more complex of the vortex structure evolution.

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DQM to Simulate 3D Vortex Structure of Cuboid Cavity Driven Flow

Cited by 4 publications

References 9 publications

Effects of Reynolds Number on Vortex Structure Evolution in a Square Cavity with Two Opposite Moving Lids

Effects of Reynolds Number on Vortex Structure Evolution in a Square Cavity with Two Opposite Moving Lids

Study on the Symmetry of Vortex Structure Distribution in a Cavity

Study on Vortex Evolution Processes of Transient Driven Flow in a Square Cavity

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