Benchmark solutions for natural convection in a cubic cavity using the high-order time–space method

Wakashima, Shin-ichiro; Saitoh, Takeo S.

doi:10.1016/j.ijheatmasstransfer.2003.08.008

Cited by 124 publications

(93 citation statements)

References 10 publications

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“…The results are compared with data from the literature. Table 5 gives the obtained Nusselt numbers as well as the values published in [25] and [23]. As shown by the relative deviation, our results are in good accordance with the reference values.…”

Section: Numerical Results For Steady Flow Patternssupporting

confidence: 82%

The TheLMA project: A thermal lattice Boltzmann solver for the GPU

et al. 2012

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In this paper, we consider the implementation of a thermal flow solver based on the lattice Boltzmann method (LBM) for graphics processing units (GPU). We first describe the hybrid thermal LBM model implemented, and give a concise review of the CUDA technology. The specific issues that arise with LBM on GPUs are outlined. We propose an approach for efficient handling of the thermal part. Performance is close to optimum and is significantly better than the one of comparable CPU solvers. We validate our code by simulating the differentially heated cubic cavity (DHC). The computed results for steady flow patterns are in good agreement with previously published ones. Finally, we use our solver to study the phenomenology of transitional flows in the DHC.

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Section: Numerical Results For Steady Flow Patternssupporting

confidence: 82%

The TheLMA project: A thermal lattice Boltzmann solver for the GPU

et al. 2012

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“…238-258 248 197.56% larger and the peaks of v velocity are 11.85% and 10.53% larger, respectively. As exposed in Table 3, for YZ adiabatic walls cases in the profiles at mid-length and mid-height, the comparison of the maximum values of the u and v velocities with the numerical results of Tric et al (2000) and Wakashima and Saitoh (2004) exhibits an excellent agreement.…”

Section: Resultsmentioning

confidence: 53%

“…It can be seen that for Ra  10 5 , and more clearly for Ra  10 6 , the presence of transverse peaks and valleys in the iso-surfaces in regions dominated by secondary eddies. Some of these peculiarities have already been enlighten by Fusegi et al (1991a) and Wakashima and Saitoh (2004) (at midplane), for YZ adiabatic walls cases with Ra  10 4 and Ra  10 6 , as well as Fusegi et al (1991b) for the Y conducting wall case having Ra  10 6 .…”

Section: Elm Padilla Mas Lourenço and A Campo / American Joumentioning

confidence: 81%

“…One of the first threedimensional investigations was made by Aziz and Hellums (1967), where the computational capacity at that time limited the study to relatively coarse grids, but allowed a closer approximation of the real flow (which is three-dimensional in nature). Later, due to the rapid development of computer technologies and numerical methodologies, new studies have been conducted (Fusegi et al, 1991a;Janssen et al, 1993, Tric et al, 2000Wakashima and Saitoh, 2004;Trias et al, 2010;Padilla et al, 2013) to better characterize and evaluate the heat transfer rate. Fusegi et al (1991a) aimed to show the three-dimensional nature of the various flow fields induced by the thermal conditions imposed on the walls of a cubic cavity for Ra between 10 3 and 10 6 .…”

Section: Introductionmentioning

confidence: 99%

“…These authors used a finite difference scheme with third order accuracy and the numerical results were compared with two-dimensional experimental and numerical data, where inconsistencies with experimental data were found. At the same time, Tric et al (2000) and Wakashima and Saitoh (2004) were more concerned with improving the accuracy of the database using finer meshes and different techniques, e.g., the pseudo-spectral Chebyshev algorithm based on the projection method and a finite difference method with fourth order spatial accuracy.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical Analysis of Natural Convection inside Cubical Cavities Exposed to Diverse Boundary Conditions

Padilla

Lourenço²,

Campo³

2016

AJHMT

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This paper presents a numerical study of fluid flow and natural convection inside cubical cavities using the finite volume method with second order schemes. Cubical cavities of various sizes with three different thermal configurations were considered, where two opposite vertical walls are isothermal and the other walls are either adiabatic or conducting (with linear temperature variation). The numerical simulations were performed for air and gases with Prandtl number 0.71 under the influence of variable Rayleigh numbers covering the range 10 3 -10 7 . The effects of the three thermal configurations in terms of velocities and temperatures were investigated for both steady and unsteady flow regimes. Additionally, the magnitudes of local and average Nusselt numbers in each direction of the cubical cavity were scrutinized. Using conducting walls, the heat transfer analysis in different directions divulged that the heat flow through the top/bottom walls surpasses 1/3 of the total heat flow of the cubical cavity. Overall, the collection of numerical results demonstrates good agreement when compared with experimental-based and numerical-based publications.

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Numerical analysis of mixed convection in three‐dimensional rectangular channel with flush‐mounted heat sources based on field synergy principle

Cheng

Lee

Low

2006

Numerical Methods in Fluids

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SUMMARYIn this paper the uid ow and heat transfer characteristics of mixed convection in three-dimensional rectangular channel with four heat sources are investigated numerically. The SIMPLEC algorithm is applied to deal with the coupling between pressure and velocity, and a new high-order stabilityguaranteed second-order di erence (SGSD) scheme is adopted to discretize the convection term. The in uence of four parameters is studied: Richardson number, heat source distribution, channel height and inclination angle. The numerical results are analysed from the viewpoint of the ÿeld synergy principle, which says that the enhanced convective heat transfer is related not only to the velocity ÿeld and temperature ÿeld, but also to the synergy between them. It is found that the e ects of the four parameters on the thermal performance can all be explained with the ÿeld synergy principle. To obtain better electronic cooling, the synergy between the velocity and temperature gradient should be increased when other conditions are unchanged.

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Benchmark solutions for natural convection in a cubic cavity using the high-order time–space method

Cited by 124 publications

References 10 publications

The TheLMA project: A thermal lattice Boltzmann solver for the GPU

The TheLMA project: A thermal lattice Boltzmann solver for the GPU

Numerical Analysis of Natural Convection inside Cubical Cavities Exposed to Diverse Boundary Conditions

Numerical analysis of mixed convection in three‐dimensional rectangular channel with flush‐mounted heat sources based on field synergy principle

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