Numerical Method of the Ray Tracing-Node Analyzing Method for Solving 2-D Transient Coupled Heat Transfer in a Rectangular Semitransparent Medium

Luo, Jianfeng; Shen, Xi

doi:10.1080/10407780902776363

Cited by 11 publications

(4 citation statements)

References 24 publications

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“…The RTE was solved by using a new FVM based on a cell vertex scheme and associated to a modified exponential scheme. Luo and Shen [29] used the ray tracing-node analyzing method to solve a 2-dimensional transient coupled heat transfer in a rectangular semitransparent medium. The transient energy equation is discretized using the fully implicit finite difference method and the radiative source term is expressed using the radiative transfer coefficients.…”

Section: Introductionmentioning

confidence: 99%

Combined conductive and radiative heat transfer in an anisotropic scattering participating medium with irregular geometries

Amiri

Mansouri

Ali

2010

International Journal of Thermal Sciences

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Section: Introductionmentioning

confidence: 99%

Combined conductive and radiative heat transfer in an anisotropic scattering participating medium with irregular geometries

Amiri

Mansouri

Ali

2010

International Journal of Thermal Sciences

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“…(1)(2), where at each time step an auxiliary or intermediate velocity is obtained from (2) and is updated such that eq. (1) is satisfied.…”

Section: Temporal Integrationmentioning

confidence: 99%

A Multiresolution Model for the Simulation of Transient Heat and Mass Transfer

Alam

Kevlahan

Vasilyev

et al. 2012

Numerical Heat Transfer, Part B: Fundamentals

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The development of an efficient computational methodology for transient heat and mass transfer applications is challenging. When a solution is localized on the fraction of a computational domain, an appropriate adaptive mesh method could minimize computational work. In this paper, we propose a novel adaptive-mesh multi-resolution algorithm for the transient momentum and energy equations. The nonlinear dynamics between the velocity and temperature fields is modeled by solving the coupled system of equations simultaneously, where the rate of convergence has been optimized so that computational cost remains proportional to the number of grid points. Numerical experiments have exhibited good agreements with benchmark simulation data.

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“…The RTE was solved using a cell vertex FVM, associated to a modified exponential scheme. Luo and Shen (2009) used the ray tracing-node analyzing method to solve a two-dimensional transient coupled conduction-radiation heat transfer problem in a rectangular domain with a participating medium.…”

Section: Application Of Mdommentioning

confidence: 99%

Application of modified discrete ordinates method to combined conduction‐radiation heat transfer problems in irregular geometries

Amiri

Mansouri

Coelho

2012

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Purpose -The solution of radiative heat transfer problems in participating media is often obtained using the standard discrete ordinates method (SDOM). This method produces anomalies caused by ray effects if radiative boundary conditions have discontinuities or abrupt changes. Ray effects may be mitigated using the modified discrete ordinates method (MDOM), which is based on superposition of the solutions obtained by considering separately radiation from the walls and radiation from the medium. The purpose of this paper is to study the role of ray effects in combined conduction-radiation problems and investigate the superiority of the MDOM over SDOM. Design/methodology/approach -The MDOM has been used to calculate radiative heat transfer in irregular geometries using body-fitted coordinates. Here, the blocked-off region concept, originally developed in computational fluid dynamics, is used along with the finite volume method and SDOM or MDOM to solve combined conduction-radiation heat transport problems in irregular geometries. Enclosures with an absorbing, emitting and isotropically or anisotropically scattering medium are analyzed. Findings -The results confirm the capability of the MDOM to minimize the anomalies due to ray effects in combined heat transfer problems, and demonstrate that MDOM is more computationally efficient than SDOM. Originality/value -The paper demonstrates the application of MDOM to combined conduction-radiation heat transfer problems in irregular geometries using blocked-off method.

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Numerical Method of the Ray Tracing-Node Analyzing Method for Solving 2-D Transient Coupled Heat Transfer in a Rectangular Semitransparent Medium

Cited by 11 publications

References 24 publications

Combined conductive and radiative heat transfer in an anisotropic scattering participating medium with irregular geometries

Combined conductive and radiative heat transfer in an anisotropic scattering participating medium with irregular geometries

A Multiresolution Model for the Simulation of Transient Heat and Mass Transfer

Application of modified discrete ordinates method to combined conduction‐radiation heat transfer problems in irregular geometries

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