Simulation of the Turbulent Rayleigh-Benard Problem Using a Spectral/Finite Difference Technique

Eidson, Thomas M.; Hussaini, M. Y.; Zang, Thomas A.

doi:10.1007/978-3-663-00197-3_13

Cited by 4 publications

(4 citation statements)

References 17 publications

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“…In situations with a heated lower surface and Fig. 10(a) shows that S v switches its sign across the central region which is consistent with [69], [70], [66] and [27]. Cold descending plumes that collide with the bottom boundary layer (triggering instabilities that result in eruptions of hot accelerating plumes there) are faster than the newly-formed hot plumes leading to a negative S v near the bottom plate, and vice versa.…”

Section: Skewness and Distribution Functionsupporting

confidence: 66%

Scalings of heat transport and energy spectra of turbulent Rayleigh-Bénard convection in a large-aspect-ratio box

Eswaran

Mishra

2017

International Journal of Heat and Fluid Flow

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Direct Numerical Simulations of turbulent convection in a large aspect-ratio box are carried out in the range of Rayleigh number 7 × 10 4 ≤ Ra ≤ 2 × 10 6 at Prandtl number Pr =0.71. A strong correlation between the vertical velocity and temperature is observed in the turbulent regime at almost all the length scales. Frequency spectra of all the velocities and temperature show a −5/3 law for a wide band of frequencies. The variances of horizontal velocities at different points in the flow yield a single power-law. Probability density functions of velocities and temperature are close to Gaussian only at higher Rayleigh numbers. The mean and variance of temperature clearly show boundary layers, surface layers and a near-homogeneous bulk region. The boundary layer thickness decreases and bulk-homogeneity is enhanced on increasing the Rayleigh numbers. The wave number spectra of the turbulent kinetic energy exhibit kolmogorov like (E(k) ∼ k −5/3 ) and Bolginao-Obukhov like (E(k) ∼ k −11/5 ) behaviour respectively in the central and near-wall regions of the container. An approximate balance between the production due to buoyancy and the dissipation is found in the turbulent kinetic energy budget. Taylor's approximate equation of the production due to turbulent stretching and the dissipation of turbulent enstrophy is modified by the inclusion of buoyancy production in the enstrophy budget. The present results support the previously proposed 2/7 power-law dependence of the average Nusselt number on the Rayleigh number by yielding an exponent

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Section: Skewness and Distribution Functionsupporting

confidence: 66%

Scalings of heat transport and energy spectra of turbulent Rayleigh-Bénard convection in a large-aspect-ratio box

Eswaran

Mishra

2017

International Journal of Heat and Fluid Flow

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“….5. More recently,Eidson, Hussaini and Zang (1986) have used a similar algorithm in a high resolution direct simulation of a turbulent Rayleigh-Benard flow. More recently,Eidson, Hussaini and Zang (1986) have used a similar algorithm in a high resolution direct simulation of a turbulent Rayleigh-Benard flow.…”

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confidence: 99%

Spectral Methods in Fluid Dynamics

et al. 1988

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“…In standard calculations such as Benard convection [33,34] or channel flow [35,37] the are products of sinusoids and possibly Chebychev polynomials. A realistic count of the number functions, N, in a realistic simulation gives a nominal number of 0(105).…”

mentioning

confidence: 99%