On the lid-driven problem in a porous cavity. A theoretical and numerical approach

Gutt, Robert; Groşan, Teodor

doi:10.1016/j.amc.2015.06.038

Cited by 19 publications

(10 citation statements)

References 33 publications

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“…The last stability analysis is a comparison between the numerical results obtained by using a Gauss-Seidel iterative scheme in [24] (see [52] for more details) and the simulations using the DRBEM approach shown in Figure 1. The fluid and the porous medium parameters for the nonlinear Darcy-Forchheimer-Brinkman system chosen are Re = 100, Da = 0.25, ϕ = 0.2 and Λ = 1.…”

Section: Numerical Stabilitymentioning

confidence: 99%

Boundary integral approach for the mixed Dirichlet–Robin boundary value problem for the nonlinear Darcy–Forchheimer–Brinkman system

Gutt

2020

Computers & Mathematics with Applications

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Section: Numerical Stabilitymentioning

confidence: 99%

Boundary integral approach for the mixed Dirichlet–Robin boundary value problem for the nonlinear Darcy–Forchheimer–Brinkman system

Gutt

2020

Computers & Mathematics with Applications

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“…The lid velocities are 10m/s, 100m/s and 1000m/s for cases I, II and III, respectively. Selected velocities are typical lid velocities to investigate the micro cavity flow in low Knudsen number regimes (Amiri-Jaghargh, Roohi, Niazmand, and Stefanov 2012;Amiri-Jaghargh, Roohi, Niazmand, and Stefanov 2013;Mohammadzadeh, Roohi, and Niazmand 2013;John, Gu, and Emerson 2011;John, Gu, and Emerson 2010;Jiang, Fan, and Shen 2003;Sheremet and Pop 2015;Safdari and Kim 2015;Gutt and Groan 2015;Rana, Torrilhon, and Struchtrup 2013).…”

Section: Geometry and Calculation Conditionmentioning

confidence: 99%

On the Expedient Solution of the Boltzmann Equation by Modified Time Relaxed Monte Carlo (MTRMC) Method

Eskandari

Nourazar

2018

JAFM

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In the present study, a modified time relaxed Monte Carlo (MTRMC) method is developed for numerical solution of the Boltzmann equation in rarefied regimes. Taylor series expansion is employed to obtain a generalized form of the Wild sum expansion and consequently the modified collision functions with fewer inter-molecular interactions are obtained. The proposed algorithm is applied on the lid-driven micro cavity flow with different lid velocities and the results for velocity and shear stress distributions are compared with those from the standard DSMC and TRMC methods. The comparisons show excellent agreement between the results of the MTRMC method with their counterparts from TRMC and DSMC methods. The present study illustrates appreciable improvement in the computational expense of the MTRMC method compared to those from standard TRMC and DSMC methods. The improvement is more pronounced compared to the standard DSMC method. It is observed that up to 56% reduction in CPU time is obtained in the studied cases.

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“…One can assessed the motivation towards study of flow fields in cavities in References. [33][34][35][36][37][38][39]. Owning such motivation the novelty of our problem includes: The geometry of problem is shown in Figure 1.…”

Section: Introductionmentioning

confidence: 99%

On Fluid Flow Field Visualization in a Staggered Cavity: A Numerical Result

et al. 2020

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In this paper we have considered a staggered cavity. It is equipped with purely viscous fluid. The physical design is controlled through mathematical formulation in terms of both the equation of continuity and equation of momentum along with boundary constraints. To be more specific, the Navier-Stokes equations for two dimensional Newtonian fluid flow in staggered enclosure is formulated and solved by well trusted method named finite element method. The novelty is increased by considering the motion of upper and lower walls of staggered cavity case-wise namely, in first case we consider that the upper wall of staggered cavity is moving and rest of walls are kept at zero velocity. In second case we consider that the upper and bottom walls are moving in a parallel way. Lastly, the upper and bottom walls are considered in an antiparallel direction. In all cases the deep analysis is performed and results are proposed by means of contour plots. The velocity components are explained by line graphs as well. The kinetic energy examination is reported for all cases. It is trusted that the findings reported in present pagination well serve as a helping source for the upcoming studies towards fluid flow in an enclosure domains being involved in an industrial areas.

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On the lid-driven problem in a porous cavity. A theoretical and numerical approach

Cited by 19 publications

References 33 publications

Boundary integral approach for the mixed Dirichlet–Robin boundary value problem for the nonlinear Darcy–Forchheimer–Brinkman system

Boundary integral approach for the mixed Dirichlet–Robin boundary value problem for the nonlinear Darcy–Forchheimer–Brinkman system

On the Expedient Solution of the Boltzmann Equation by Modified Time Relaxed Monte Carlo (MTRMC) Method

On Fluid Flow Field Visualization in a Staggered Cavity: A Numerical Result

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