Numerical analysis of fluid flows in L-Shaped cavities using Lattice Boltzmann method

Bhopalam, Sthavishtha R.; Perumal, D. Arumuga

doi:10.1016/j.apples.2020.100016

Cited by 13 publications

(8 citation statements)

References 40 publications

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“…For this example, we investigate the streamline function of the L‐shaped cavity flow for various Reynolds numbers as shown in Figure 8. The physical phenomena presented by these obtained streamlines are in quite agreement with those given in the Reference 59. The streamlines presented in this figure show remarkable circulation zones unlike to the conventional lid‐driven cavity (Figure 9).…”

Section: Numerical Results and Discussionsupporting

confidence: 89%

“…The second part of the numerical examples section concerns L‐shaped cavity (see Figure 7). In order to test the influence of the geometry of the cavity on the Reynolds number reached as discussed in References 10‐12, we propose in this part to study the fluid flow in an L‐shaped cavity treated in several works in particular in Reference 59. The L‐shaped cavity makes it possible to observe the phenomena encountered both in the rectangular cavity and backward facing step flows and therefore to reveal several recirculation zones.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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Efficient resolution of incompressible Navier–Stokes equations using a robust high‐order pseudo‐spectral approach

Drissi,

Mesmoudi,

Mansouri

2023

Numerical Methods in Fluids

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An accurate numerical tool is presented in this work to investigate the stationary incompressible Navier–Stokes equations. The proposed approach is based on a pseudo‐spectral method for discretizing the differential equations and the asymptotic numerical method to convert nonlinear systems into linear algebraic equations. The coupling of the spectral method with the asymptotic numerical method is considered as an efficient algorithm to solve any nonlinear differential equations. Their efficiency and robustness are examined here on the flow fluid in different canal with different geometries. These computational efficiency and performance have been analysed via several numerical and benchmark examples of incompressible fluid flow in lid‐driven cavity and vortex shedding over L‐Shaped cavity and fluid flow around a square obstacle. The validation of the proposed approach is made by comparison between the obtained results and those calculated using a finite element method or Ansys commercial code. This validation asserts that the presented numerical tool can be promise for solving fluid flow problems with high accuracy.

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Section: Numerical Results and Discussionsupporting

confidence: 89%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Efficient resolution of incompressible Navier–Stokes equations using a robust high‐order pseudo‐spectral approach

Drissi,

Mesmoudi,

Mansouri

2023

Numerical Methods in Fluids

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“…The numerical study of free convection in U-Shaped cavity, with constant temperature heat blocks, by LBM, was performed Ma et al [2018]. Bhopalam and Perumal [2020] introduced a new type of cavity, the L-shaped cavity. In his study, he considered two types of motion, parallel and anti-parallel, which helped him to discover some exciting flow topologies, characterized by the presence of corner eddies.…”

Section: Introductionmentioning

confidence: 99%

Forced Convection Characteristics with Parabolic Temperature Variations in a Transposed C-Shaped Lid-Driven Square Cavity using Lattice Boltzmann Method

Yadav

Makinde

2023

Preprint

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The present study is focused on the numerical simulations of forced convection characteristics with parabolic temperature variations in a wall-driven C-Shaped cavity using the lattice Boltzmann method. In this study, the flow parameters being investigated are Reynolds number, Nusselt number, skin friction coefficient, kinetic energy density function, and aspect ratio. The results show that the development of the primary vortex inside the cavity can lead to an assisting effect to the different hot surfaces for different aspect ratios to enhance the heat transfer rate. It is found that for aspect ratio one, the upper hot surface, assigned with parabolic temperature variations, gives the best heat transfer rate, whereas, for aspect ratios two and three, the right hot surface gives the best heat transfer rates. Further, The average Nusselt number is found to be increasing with the increase of Reynolds number and found to be decreasing with the increase of aspect ratio. Besides this, for low Reynolds numbers with elongation of the cavity in the horizontal direction, perfect sand clock patterns are recorded in the streamlines formation, whereas for high Reynolds numbers, the sand clock patterns become distorted in the streamlines formation. Moreover, the distribution of the skin friction coefficient and the kinetic energy density function against the Reynolds number is also presented.

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“…Computational Fluid Dynamics (CFD) is a process that involves the mathematical modelling of physical phenomena related to fluid flow and solving it numerically using computational resources [1][2][3][4][5]. CFD assumes a significant role in both experimental and theoretical fields.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Lid-Driven Cavity Flow Induced by Triangular Obstacles

Hegde,

Bendre,

Perumal

2023

RAiSE-2023

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Numerical analysis of fluid flows in L-Shaped cavities using Lattice Boltzmann method

Cited by 13 publications

References 40 publications

Efficient resolution of incompressible Navier–Stokes equations using a robust high‐order pseudo‐spectral approach

Efficient resolution of incompressible Navier–Stokes equations using a robust high‐order pseudo‐spectral approach

Forced Convection Characteristics with Parabolic Temperature Variations in a Transposed C-Shaped Lid-Driven Square Cavity using Lattice Boltzmann Method

Numerical Analysis of Lid-Driven Cavity Flow Induced by Triangular Obstacles

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