An Efficient CPU-GPU Implementation of the Multiple Absorption Coefficient Zonal Method (MACZM)

Ghannam, Boutros; Nemer, Maroun; Khoury, Khalil El; Yuen, W. W.

doi:10.1080/10407790.2012.709418

Cited by 5 publications

(1 citation statement)

References 15 publications

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“…The calculation of local flux divergence can be decoupled from a computational grid, which can be an advantage in some multi-mode problems [54,55]. The emergence of the use of graphical processing units (GPUs) [56], which are ideally suited for DSMC parallel calculation, has further enhanced the potential of the method.…”

Section: The Monte Carlo Methodsmentioning

confidence: 99%

Coupling radiative heat transfer in participating media with other heat transfer modes

Tencer

Howell

2015

J Braz. Soc. Mech. Sci. Eng.

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transfer modes are minimized or eliminated as in Dewar flasks and cryogenic storage systems. In this review, we discuss the common and not-so-common methods for treating radiation heat transfer in participating (absorbing/emitting and scattering) media, and how these methods are coupled with the overall energy equation for treating thermal transfer problems.Because radiation is almost inevitably coupled with other heat transfer modes, an overall thermal analysis requires solution of the energy equation, which is actually a balance of energy rates. Here, we follow the development in Howell et al. [1].The general form for the energy equation for a compressible fluid is where D/Dt is the substantial derivative, the left-hand side accounts for changes in stored energy within the medium, and the terms on the right-hand side account for changes in pressure work, contributions by conduction and radiation, internal sources (chemical, electrical, nuclear, etc.,), and viscous dissipation. In most practical thermal analysis problems, the pressure work and viscous dissipation terms can be neglected.Of greatest interest here is the evaluation of the local divergence of radiative flux, −∇ · q r . This is the difference in the local absorbed radiative energy minus the local emitted radiation, 4π ∞ =0 κ I b d , where κ λ is the local spectral absorptivity of the medium and I λb is the blackbody intensity given by the Planck distribution. In an absorbing-emitting-scattering medium, the absorbed radiative energy is found by first finding the local radiative intensity I λ (Ω), which is defined as the spectral energy propagating in a given direction Ω per unit solid angle, per unit area AbstractThe common methods for finding the local radiative flux divergence in participating media through solution of the radiative transfer equation are outlined. The pros and cons of each method are discussed in terms of their speed, ability to handle spectral properties and scattering phenomena, as well as their accuracy in different ranges of media transport properties. The suitability of each method for inclusion in the energy equation to efficiently solve multi-mode thermal transfer problems is discussed. Finally, remaining topics needing research are outlined.

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Section: The Monte Carlo Methodsmentioning

confidence: 99%

Coupling radiative heat transfer in participating media with other heat transfer modes

Tencer

Howell

2015

J Braz. Soc. Mech. Sci. Eng.

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A Compact Thermal Model for Data Center Analysis using the Zonal Method

Song

Murray

Sammakia

2013

Numerical Heat Transfer, Part A: Applications

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Real Time Dynamic Programming Control of Rapid Thermal Processing Furnaces

Mouawad¹,

Nemer²,

Khoury³

2013

Numerical Heat Transfer, Part A: Applications

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International audienceIn the rapid thermal processing of a semi-conductor wafer, the temperature of the latter has to follow a preset time evolution profile while keeping spatial uniformity. A model-based open loop control strategy is presented in all its steps. A global and sufficiently accurate thermal model, based on the component interaction network, is used for the prediction of the required instantaneous heat flux distribution gained by the wafer. The same model is used to calculate the distribution of the net heat flux gainedby the wafer for each radiant emitter. The optimal combination of input powers to the radiant emitters is then determined using real time dynamic programming. It consists in minimizing the maximum difference between the required heat flux distribution and the one corresponding to the tested combination of input powers at each time step. The objective function is corrected according to the preceding time step errors, in a way to avoid cumulative temperature deviation. The solution algorithm is described, step by step, and a test case is treated. The results show good temperature tracking and uniformity

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An Efficient CPU-GPU Implementation of the Multiple Absorption Coefficient Zonal Method (MACZM)

Cited by 5 publications

References 15 publications

Coupling radiative heat transfer in participating media with other heat transfer modes

Coupling radiative heat transfer in participating media with other heat transfer modes

A Compact Thermal Model for Data Center Analysis using the Zonal Method

Real Time Dynamic Programming Control of Rapid Thermal Processing Furnaces

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