Implementation of high-order spherical harmonics methods for radiative heat transfer on OPENFOAM

Wenjun Ge; Ricardo Marquez; Michael F. Modest; Somesh P. Roy

doi:10.1115/1.4029546

Implementation of high-order spherical harmonics methods for radiative heat transfer on OPENFOAM

Wenjun Ge
, Ricardo Marquez
, Michael F. Modest
, Somesh P. Roy

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

A general formulation of the spherical harmonics (P_N) methods was developed recently to expand the method to high orders of P_N. The set of N(N + 1)/2 three-dimensional second-order elliptic PDEs formulation and their Marshak boundary conditions for arbitrary geometries are implemented in the OPENFOAM finite volume based CFD software. The results are verified for four cases, including a 1D slab, a 2D square enclosure, a 3D cylindrical enclosure, and an axisymmetric flame. All cases have strongly varying radiative properties, and the results are compared with exact solutions and solutions from the photon Monte Carlo method (PMC).

Original language	English
Article number	052701
Journal	Journal of Heat Transfer
Volume	137
Issue number	5
DOIs	https://doi.org/10.1115/1.4029546
State	Published - 2015
Externally published	Yes

Funding

Supported by National Science Foundation and the Department of Energy through Grant No. NSF1258635 is gratefully acknowledged.

Keywords

Computer implementation
RTE solvers
Radiative heat transfer
Spherical harmonics

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10.1115/1.4029546

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title = "Implementation of high-order spherical harmonics methods for radiative heat transfer on OPENFOAM",

abstract = "A general formulation of the spherical harmonics (PN) methods was developed recently to expand the method to high orders of PN. The set of N(N + 1)/2 three-dimensional second-order elliptic PDEs formulation and their Marshak boundary conditions for arbitrary geometries are implemented in the OPENFOAM finite volume based CFD software. The results are verified for four cases, including a 1D slab, a 2D square enclosure, a 3D cylindrical enclosure, and an axisymmetric flame. All cases have strongly varying radiative properties, and the results are compared with exact solutions and solutions from the photon Monte Carlo method (PMC).",

keywords = "Computer implementation, RTE solvers, Radiative heat transfer, Spherical harmonics",

author = "Wenjun Ge and Ricardo Marquez and Modest, \{Michael F.\} and Roy, \{Somesh P.\}",

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language = "English",

volume = "137",

journal = "Journal of Heat Transfer",

issn = "0022-1481",

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T1 - Implementation of high-order spherical harmonics methods for radiative heat transfer on OPENFOAM

AU - Ge, Wenjun

AU - Marquez, Ricardo

AU - Modest, Michael F.

AU - Roy, Somesh P.

PY - 2015

Y1 - 2015

N2 - A general formulation of the spherical harmonics (PN) methods was developed recently to expand the method to high orders of PN. The set of N(N + 1)/2 three-dimensional second-order elliptic PDEs formulation and their Marshak boundary conditions for arbitrary geometries are implemented in the OPENFOAM finite volume based CFD software. The results are verified for four cases, including a 1D slab, a 2D square enclosure, a 3D cylindrical enclosure, and an axisymmetric flame. All cases have strongly varying radiative properties, and the results are compared with exact solutions and solutions from the photon Monte Carlo method (PMC).

AB - A general formulation of the spherical harmonics (PN) methods was developed recently to expand the method to high orders of PN. The set of N(N + 1)/2 three-dimensional second-order elliptic PDEs formulation and their Marshak boundary conditions for arbitrary geometries are implemented in the OPENFOAM finite volume based CFD software. The results are verified for four cases, including a 1D slab, a 2D square enclosure, a 3D cylindrical enclosure, and an axisymmetric flame. All cases have strongly varying radiative properties, and the results are compared with exact solutions and solutions from the photon Monte Carlo method (PMC).

KW - Computer implementation

KW - RTE solvers

KW - Radiative heat transfer

KW - Spherical harmonics

UR - https://www.scopus.com/pages/publications/84993971782

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VL - 137

JO - Journal of Heat Transfer

JF - Journal of Heat Transfer

IS - 5

M1 - 052701

ER -

Implementation of high-order spherical harmonics methods for radiative heat transfer on OPENFOAM

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Keywords

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