Research Papers: Radiative Heat Transfer

A Spectrally Accurate Two-Dimensional Axisymmetric, Tightly Coupled Photon Monte Carlo Radiative Transfer Equation Solver for Hypersonic Entry Flows

[+] Author and Article Information
A. M. Feldick

Graduate Student
Department of Mechanical and
Nuclear Engineering,
The Pennsylvania State University,
University Park, PA 16802

M. F. Modest

Shaffer and George Professor of Engineering
School of Engineering,
University of California,
Merced, CA 95343
e-mail: mmodest@ucmerced.edu

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 26, 2011; final manuscript received June 12, 2012; published online October 5, 2012. Assoc. Editor: Pamela M. Norris.

J. Heat Transfer 134(12), 122701 (Dec 05, 2012) (8 pages) doi:10.1115/1.4007069 History: Received August 26, 2011; Revised June 12, 2012

A two-dimensional axisymmetric ray tracing photon Monte Carlo radiative transfer solver is developed. Like all ray tracing Monte Carlo codes, the ray tracing is performed in 3D, however, arrangements are made to take advantage of the 2D nature of the problem, to minimize computational time. The solver is designed to be tightly integrated into finite volume hypersonic flow solvers and is able to resolve the complex spectral properties of such flows to line-by-line (LBL) accuracy. The solver is then directly integrated into data parallel line relaxation (DPLR), a hypersonic flow solver, and closely coupled calculations are performed.

Copyright © 2012 by ASME
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Fig. 1

Grid used in CEV simulation

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Fig. 2

Location of a point on a cell face plane, which is rotated about the symmetry axis

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Fig. 3

Rotation of photon path back into x-z plane

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Fig. 4

Temperature profiles used in 1D cylinder problem

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Fig. 5

Atomic species number density profiles used in 1D cylinder problem

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Fig. 6

Molecular species number density profiles used in 1D cylinder problem

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Fig. 7

Comparison of ∇·qr with exact 1D solution

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Fig. 8

Comparison of ∇·qr with line-by-line tangent slab approximation at the stagnation point

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Fig. 9

Comparison of ∇·qr with line-by-line tangent slab approximation near the shoulder

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Fig. 10

Comparison of radiative wall heat flux with line-by-line tangent slab approximation

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Fig. 11

Comparison of stagnation line temperatures and N number density before and after coupling

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Fig. 12

Comparison of wall heat flux before and after coupling




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