Evaluation of the FT<i>n</i>Finite Volume Method for Transient Radiative Transfer in Anisotropically Scattering Medium

Guedri, Kamel; Alghamdi, Abdulmajeed; Bouzid, Abdessattar; Abbassi, Mohamed Ammar; Ghulman, Hamza A.

doi:10.1080/10407782.2015.1031597

Cited by 7 publications

(7 citation statements)

References 33 publications

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“…The Monte Carlo [5][6][7][8][9], the integral equation (IE) formulation [10][11][12], and the discrete ordinates [13][14][15] methods have been developed to study the unsteady radiative heat transfer. The finite volume method (FVM) has been also developed and used [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Several researchers have demonstrated that he FVM has a respectable compromise between precision, flexibility, and moderate computational conditions [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

“…The finite volume method (FVM) has been also developed and used [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Several researchers have demonstrated that he FVM has a respectable compromise between precision, flexibility, and moderate computational conditions [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. It is also known by its compatibility with other methods applied in computational fluid dynamics.…”

Section: Introductionmentioning

confidence: 99%

“…High-order differencing spatial discretization schemes have been formulated to decrease the ray-effect. The MINMOD, CLAM, MUSCL, and SMART schemes have been proposed and tested for several benchmarks [23][24][25][26][27][28][29][30]. In another hand, the angular-multiblock technique has been proposed by Chai and Moder [28] and applied to decrease the false scattering.…”

Section: Introductionmentioning

confidence: 99%

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Three-dimensional FTn finite volume solution of short-pulse laser propagation through heterogeneous medium

et al. 2020

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In this paper, 3-D heterogeneous medium, containing small inhomogeneous zones, subjected to a short-pulse laser has been examined by solving the transient radiative transfer equation. Both curved-line advection method and STEP schemes of the FTn finite volume method have been applied. The curved-line advection method predictions proved that a decrease of the false scattering and ray effects are obtained. In fact, there was a good agreement between the curved-line advection method and the Monte Carlo method. However, the STEP results are slightly mismatching the predictions of the aforementioned reference method. Then, the effects of the absorption coefficient, the size, the number and the position of inhomogeneous zone on the transmittance and reflectance signals have been analyzed. The predictions showed that the increase of the size of the inhomogeneity reduces the intensity of radiation. For both homogenous and heterogonous medium, the change of the detector position varies both the broadening of the signal pulse-width and the time with peak reflectance and/or transmittance. That is can be explained by the effects of the distance and the medium property between the laser-incident source and the detector position. Thus, these both parameters are the main factors for determining the peak position and the pulse broadening. Finally, the effects of the absorption coefficient in the inhomogeneity zone on the absolute values of logarithmic slope has been discussed. The results proved that the absolute values of logarithmic slope may be a perfect indicator for detecting any abnormal absorbing zones in the medium.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Three-dimensional FTn finite volume solution of short-pulse laser propagation through heterogeneous medium

et al. 2020

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“…The authors achieved an acceptable compromise between the FVM results by applying the normalization technique, and the two different methods by little effect on computational efficiency. Guedri et al [23] formulated and applied the FTn Finite Volume Method (FTn FVM) for transient radiation in a 3-D absorbing, emitting, and anisotropically scattering medium. The outcomes illustrated that FTn FVM decreases mostly the ray impacts and its accuracy is higher Energies 2019, 12, 3986 3 of 22 than the standard FVM.…”

Section: Introductionmentioning

confidence: 99%

Radiation Heat Transfer in a Complex Geometry Containing Anisotropically-Scattering Mie Particles

Ettaleb

Abbassi

Farhat³

et al. 2019

Energies

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This study aims to numerically investigate the radiation heat transfer in a complex, 3-D biomass pyrolysis reactor which is consisted of two pyrolysis chambers and a heat recuperator. The medium assumes to be gray, absorbs, emits, and Mie-anisotropically scatters the radiation energy. The finite volume method (FVM) is applied to solve the radiation transfer equation (RTE) using the step scheme. To treat the complex geometry, the blocked-off-region procedure is employed. Mie equations (ME) are applied to evaluate the scattering phase function and analyze the angular distribution of the anisotropically scattered radiation by particles. In this study, three different states are considered to test the anisotropic scattering impacts on the temperature and radiation heat flux distribution. These states are as: (i) Isotropic scattering, (ii) forward and backward scattering and (iii) scattering with solid particles of different coals and fly ash. The outcomes demonstrate that the radiation heat flux enhances by an increment of the albedo and absorption coefficients for the coals and fly ash, unlike the isotropic case and the forward and backward scattering functions. Moreover, the particle size parameter does not have an important influence on the radiation heat flux, when the medium is thin optical. Its effect is more noticeable for higher extinction coefficients.

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“…22 Accordingly, in the present work, high-order spatial resolution schemes of the FVM, based on the NVD formulation, are used to solve the RTE in 2D/3D rectangular enclosures containing transparent, emitting-absorbing, emitting-absorbing-scattering, or nonhomogeneous media. To reduce the angular discretization errors, a nonuniform angular discretization, namely, the FTn, [23][24][25][26][27][28][29] is implemented. The results of the STEP and NVD schemes are compared with those obtained using analytical and more accurate methods.…”

Section: Introductionmentioning

confidence: 99%

Application of high‐resolution NVD differencing schemes to the FTn finite volume method for radiative heat transfer

Guedri

Alghamdi

Oreijah

2017

Heat Trans. Asian Res.

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In this work, the STEP scheme and several schemes based on the normalized variable diagram (NVD), such as MINMOD, GAMMA, CLAM, NOTABLE, MUSCL, CUBISTA, SMART, WACEB, and VANOS schemes, are evaluated for solving the radiative transfer equation. Two‐dimensional and three‐dimensional rectangular enclosures containing transparent, emitting–absorbing, emitting–absorbing–scattering, or nonhomogeneous participating media are investigated using the modified FTn finite volume method. Although the NVD schemes are much more accurate than the STEP scheme, but they have more time‐consuming and require more iterations. Moreover, most of them often necessitate underrelaxation to ensure convergence. Results show that the MINMOD and GAMMA schemes are still much less accurate than other NVD schemes, but they converge the fastest of the NVD schemes, and do not require underrelaxation. Although the VANOS, WACEB, and SMART schemes give more accurate solutions, they are not competitive with other NVD schemes. However, the CLAM, NOTABLE, and CUBISTA schemes are relatively fast and accurate.

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Evaluation of the FTnFinite Volume Method for Transient Radiative Transfer in Anisotropically Scattering Medium

Cited by 7 publications

References 33 publications

Three-dimensional FTn finite volume solution of short-pulse laser propagation through heterogeneous medium

Three-dimensional FTn finite volume solution of short-pulse laser propagation through heterogeneous medium

Radiation Heat Transfer in a Complex Geometry Containing Anisotropically-Scattering Mie Particles

Application of high‐resolution NVD differencing schemes to the FTn finite volume method for radiative heat transfer

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