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Technical Briefs

A Hybrid Wavenumber Selection Scheme for Line-By-Line Photon Monte Carlo Simulations in High-Temperature Gases

[+] Author and Article Information
Tao Ren

e-mail: tren@ucmerced.edu

Michael F. Modest

e-mail: mmodest@eng.ucmerced.edu
Life fellow of ASME
Department of Mechanical Engineering and Applied Mechanics,
University of California,
Merced, Merced, CA 95343

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 16, 2012; final manuscript received April 24, 2013; published online July 10, 2013. Assoc. Editor: He-Ping Tan.

J. Heat Transfer 135(8), 084501 (Jul 10, 2013) (4 pages) Paper No: HT-12-1439; doi: 10.1115/1.4024385 History: Received August 16, 2012; Revised April 24, 2013

Recently, it has become possible to conduct line-by-line (LBL) accurate radiative heat transfer calculations in spectrally highly nongray combustion systems using the Monte Carlo method. LBL accuracy, in principle, adds little to the computational load as compared to gray calculations. However, when employing the Monte Carlo method, the original scheme for choosing appropriate emission wavenumbers for statistical photon bundles is numerically expensive. An improved wavelength selection scheme has been applied to hypersonic plasmas for Monte Carlo solvers. However, directly applying this improved scheme to combustion gases may cause significant errors. In this paper, a hybrid scheme for wavenumber selection is proposed, significantly decreasing CPU requirements compared to previous work. The accuracy of the new method is established and its time requirements are compared against the previous method.

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References

Tang, K. C., and Brewster, M. Q., 1999, “Analysis of Molecular Gas Radiation: Real Gas Property Effects,” J. Thermophys. Heat Transfer, 13(4), pp. 460–466. [CrossRef]
Wang, A., and Modest, M. F., 2007, “Spectral Monte Carlo Models for Nongray Radiation Analyses in Inhomogeneous Participating Media,” Int. J. Heat Mass Transfer, 50, pp. 3877–3889. [CrossRef]
Ozawa, T., Modest, M. F., and Levin, D. A., 2010, “Spectral Module for Photon Monte Carlo Calculations in Hypersonic Nonequilibrium Radiation,” ASME J. Heat Transfer, 132, p. 023406. [CrossRef]
Feldick, A. M., and Modest, M. F., 2011, “An Improved Wavelength Selection Scheme for Monte Carlo Solvers Applied to Hypersonic Plasmas,” J. Quant. Spectrosc. Radiat. Transfer, 112, pp. 1394–1401. [CrossRef]
Modest, M. F., 2013, Radiative Heat Transfer, 3rd ed., Academic Press, New York.
Wang, A., and Modest, M. F., 2004, “Importance of Combined Lorentz–Doppler Broadening in High-Temperature Radiative Heat Transfer Applications,” ASME J. of Heat Transfer, 126(5), pp. 858–861. [CrossRef]
Rothman, L. S., Gordon, I. E., Barber, R. J., Dothe, H., Gamache, R. R., Goldman, A., Perevalov, V. I., Tashkun, S. A., and Tennyson, J., 2010, “HITEMP, the High-Temperature Molecular Spectroscopic Database,” J. Quant. Spectrosc. Radiat. Transfer, 111(15), pp. 2139–2150. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Recovery of pressure-based absorption coefficients by Monte Carlo method

Grahic Jump Location
Fig. 2

Random-number relations of 10% CO2-25%H2O-10%CO mixture at 600 K for the improved scheme using the η − Rη database as compared with the old scheme

Grahic Jump Location
Fig. 3

Divergence of radiative flux for 10% CO2-25%H2O-10%CO mixture at 600 K using the old scheme and the improved scheme

Grahic Jump Location
Fig. 4

Divergence of radiative flux for 10% CO2-10%H2O-10%CO mixture at 650 K using the old scheme and the improved scheme

Grahic Jump Location
Fig. 5

Random-number relations for 25%H2O at 600 K, 700 K, and linear interpolation values for 650 K using the Rη − η and the η − Rη database

Grahic Jump Location
Fig. 6

Divergence of radiative flux for 10% CO2-10%H2O-10%CO mixture at 650 K using the old scheme and the hybrid scheme

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