Generalized source Finite Volume Method for radiative transfer equation in participating media

Zhang, Biao; Xu, Chen; Wang, Shimin

doi:10.1016/j.jqsrt.2016.11.025

Cited by 21 publications

(6 citation statements)

References 31 publications

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“…Therefore, it is necessary to record the number of flame voxels that each detection light passes through, and the distance traveled in the voxel. According to the generalized source term finite volume method (Zhang et al, 2017), the radiation energy received on each pixel can be calculated by the following formula:…”

Section: Forward Modelmentioning

confidence: 99%

A Fast Tomographic Reconstruction Method for Flame Temperature Distribution Measurement Based on Direct Solution Algorithm

Zhang

Peng

et al. 2021

Front. Energy Res.

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The rapid and accurate measurement of the flame temperature distribution is of great significance to the structural design and health diagnosis of the engine. Aiming at the low reconstruction efficiency of traditional flame temperature distribution reconstruction algorithms, a Direct Solution algorithm for flame temperature distribution reconstruction is proposed in this paper based on the structural characteristics of the reconstruction equations. By setting several numerical cases, the performance of the Direct Solution algorithm and some commonly used traditional algorithms, such as Simultaneous Algebraic Reconstruction Technique (SART), Least Squares QR-factorization (LSQR) algorithm, Non-Negative Least Squares QR-factorization (NNLS) algorithm, is compared in the reconstruction of the flame temperature distribution. The results show that the efficiency of the Direct Solution method is 169.4, 7.4, and 3483.3 times higher than that of the SART, LSQR, and NNLS algorithms under the condition of 40 × 40 grids. In addition, with the increase of the number of grids, the growth rate of the reconstruction time of the Direct Solution algorithm is much lower than that of other algorithms. The overall reconstruction accuracy of the Direct Solution algorithm is better than that of SART and LSQR algorithms. This shows that it has an excellent comprehensive performance and has a great application prospect in the rapid reconstruction of the temperature distribution.

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Section: Forward Modelmentioning

confidence: 99%

A Fast Tomographic Reconstruction Method for Flame Temperature Distribution Measurement Based on Direct Solution Algorithm

Zhang

Peng

et al. 2021

Front. Energy Res.

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“…Furthermore, the outgoing radiative source term sði, j, kÞ can be obtained. Substituting it into the International Journal of Photoenergy radiative transfer equation (as shown below), the radiative intensities of each position at each direction I m ði, j, kÞ can be calculated by the Finite Volume Method (FVM) [29,30].…”

Section: International Journal Of Photoenergymentioning

confidence: 99%

Reconstruction of 3D Temperature Profile of Radiative Participatory Flame Based on Digital Refocusing Technique of Light Field Camera

Zhang

Wang

Liu

et al. 2019

International Journal of Photoenergy

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Accurate and reliable measurements of the 3D flame temperature profile are highly desirable to achieve in-depth understanding of the combustion and pollutant formation processes. In this paper, a measurement method for reconstruction of a 3D flame temperature profile was proposed by using a light field camera. It combines the convolution imaging model and radiative transfer equation and takes into account the characteristics of emission, absorption, and scattering of a semitransparent flame. According to the point spread function characteristics of the imaging system, the number and positions of the refocus planes were set by comprehensive consideration of the reconstruction accuracy and efficiency. The feasibility of the present method was proved by numerical simulation and an experiment of a candle flame. This method achieves the reconstruction of a 3D asymmetric flame profile through a single exposure of a single camera, which overcomes the problem of complexity of a multicamera system and the time delay of a conventional scanning camera system.

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“…The shape functions for the bilinear quadrilateral elements (Fig. 2) are given by [36] and its derivatives are written as (10)…”

Section: Ebfvm Approachmentioning

confidence: 99%

“…In the last few decades, FEM has also been improved to model multi-physical problems, such as electromagnetism and fluid flow [1,7]. The FVM and FDM have also been enhanced and nowadays have been successfully applied to a wide number of physical problems as well, for instance acoustics [8], solid-fluid iteration [9], and radiative heat transfer phenomenon [10]. A key issue that differentiates the FVM from FEM and FDM is the ability of the first aforementioned method to guarantee local conservation of the physical properties being evaluated [4][5][6][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional rate-independent plasticity using the element-based finite volume method

Pimenta

Marcondes

2019

J Braz. Soc. Mech. Sci. Eng.

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The element-based finite volume method (EbFVM) is well established in computational fluid dynamics; in the last decade, it has been extended to several areas of engineering and physics interest, such as electromagnetism, acoustics, and structural mechanics analysis with complex geometrical shapes. This paper describes the treatment of the conservative EbFVM approach for two-dimensional isotropic elastic-plastic rate-independent problems. In particular, we use plane strain and plane stress approaches upon incremental thermal and mechanical loads. In order to verify the performance of the EbFVM, numerical results are compared with a commercial simulator. Finally, from the present implementation and the comparisons performed, we can ensure that EbFVM makes accurate prediction as the traditional numerical approach commonly employed for the solution of mechanics problems.

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Generalized source Finite Volume Method for radiative transfer equation in participating media

Cited by 21 publications

References 31 publications

A Fast Tomographic Reconstruction Method for Flame Temperature Distribution Measurement Based on Direct Solution Algorithm

A Fast Tomographic Reconstruction Method for Flame Temperature Distribution Measurement Based on Direct Solution Algorithm

Reconstruction of 3D Temperature Profile of Radiative Participatory Flame Based on Digital Refocusing Technique of Light Field Camera

Two-dimensional rate-independent plasticity using the element-based finite volume method

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