Numerical Study of the 2D Lid-driven Triangular Cavities Based on the Lattice Boltzmann Method

An, Byungjin; Bergad..., J.M.

doi:10.2991/mme-16.2017.133

Cited by 3 publications

(2 citation statements)

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“…In the literature, the simulation of fluid microflows was made a lot for a square-section cavity [14][15][16][17][18][19][20]. However, a few studies were focused on the geometries with inclined sides [32][33][34][35][36][37][38]. Unlike most of these papers, based on the Reynolds number (Re), the rarefaction degree is expressed in this study according to the Knudsen number value (Kn).…”

Section: Resultsmentioning

confidence: 99%

Numerical Study of Gas Microflow within a Triangular Lid-driven Cavity

Elguennouni¹,

Hssikou²,

Baliti³

et al. 2020

Adv. sci. technol. eng. syst. j.

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A rarefied gas flow is modeled inside two cases of triangular lid-driven microcavity using single (SRT) and multi-relaxation time (MRT) lattice Boltzmann approaches. In the first one, the right angle is in the top-left corner and the upper wall moves with positive horizontal velocity. However, in the second case, the right angle is in the bottom-left corner and the bottom wall moves with negative horizontal velocity. Unlike the classical form of square cavities, widely treated in the literature, the triangular form has a diagonal wall that affects the flow motion. At the moving wall, diffuse scattering boundary condition (DSBC) is employed while at the stationary sides, a combination of bounce-back and specular reflection boundary conditions (BSBC) is used. The computations are primarily performed in the slip and early transition regimes. The rarefaction effect, given by the Knudsen number (Kn) value, on the profiles of velocity components, is examined for both approaches. This study proves that for the higher values of Kn, the SRT-LBM approach cannot provide accurate results, particularly, near the inclined wall. However, the MRT-LBM approach confirms its validity even in the transition regime. A comparison with Direct Simulation Monte Carlo (DSMC) results for horizontal velocity contours shows the efficiency of the MRT-LBM approach than the SRT-LBM one which breaks down for rarefied flows.

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Section: Resultsmentioning

confidence: 99%

Numerical Study of Gas Microflow within a Triangular Lid-driven Cavity

Elguennouni¹,

Hssikou²,

Baliti³

et al. 2020

Adv. sci. technol. eng. syst. j.

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“…The behaviour of the flow in the corners of the domain can also be investigated [11]. Under the correct circumstances, the flow exhibits small secondary vortices in the corners which are not necessarily picked up by lower fidelity simulations, and some authors have explored this for example using triangular domains [12,13].…”

Section: Introductionmentioning

confidence: 99%

Implementation of a Modified Lid Driven Cavity in OpenFOAM

Tabor

2022

OpenFOAM J

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The standard lid-driven cavity test case is one of the most used validation cases in CFD. Whilst comparisons with experimental and particularly DNS simulations are possible, there is no analytical solution, and the case is ill-posed when considering the boundary conditions. A modified lid driven cavity (MLDC) case exists in the literature in which the lid velocity is non-uniform and which introduces a spatially varying body force, and for which there is a closed-form analytical solution to the Navier-Stokes equations which is a function of the Reynolds number. In this paper I present an implementation of the MLDC as a modification of the standard OpenFOAM case, using run time coding for the boundary conditions and fvOptions, and show how convergence to the solution is affected by numerical parameters ofsimpleFoam such as choice of matrix inversion. The existance of an analytical solution also allows the investigation of the relation between the solver residual and the true solution error.

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