Finite-volume solution of the second-order radiative transfer equation: Accuracy and solution cost

Hassanzadeh P; Raithby GD

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Finite-volume solution of the second-order radiative transfer equation: Accuracy and solution cost

机译：二阶辐射传递方程的有限体积解：精度和解成本

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The finite-volume method is applied to the second-order radiative transfer equation, proposed by Zhao and Liu, to study its accuracy and solution cost for two simple two-dimensional problems. The second-order equation leads to results that are accurate and bounded, but the iterative solution of the equations is expensive, especially for weakly participating media. The high cost is due mainly to the elliptic character of the second-order equation and the lack of diagonal dominance of the algebraic equations.

机译：将有限体积方法应用于赵和刘提出的二阶辐射传递方程，以研究其对于两个简单二维问题的准确性和求解成本。二阶方程得出的结果是准确且有界的，但是方程的迭代解很昂贵，尤其是对于弱参与的介质。较高的成本主要是由于二阶方程的椭圆特性和代数方程对角线优势的缺乏。

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来源
《Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology》 |2008年第4期|共9页
作者
Hassanzadeh P; Raithby GD;
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正文语种 eng
中图分类热力工程、热机;
关键词
DISCRETE-ORDINATES METHOD; HEAT-TRANSFER; MULTIDIMENSIONAL GEOMETRIES; ELEMENT-METHOD; FORMULATION;

机译：离散准则方法;传热;多维几何;单元法;配方;

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1. Finite-volume solution of the second-order radiative transfer equation: Accuracy and solution cost [J] . Hassanzadeh P, Raithby GD Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2008,第3a4期

机译：二阶辐射传递方程的有限体积解：精度和解成本
2. Finite-volume solution of the second-order radiative transfer equation: Accuracy and solution cost [J] . Hassanzadeh P, Raithby GD Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2008,第4期

机译：二阶辐射传递方程的有限体积解：精度和解成本
3. COMPARATIVE STUDY ON ACCURACY AND SOLUTION COST OF THE FIRST/SECOND-ORDER RADIATIVE TRANSFER EQUATIONS USING THE MESHLESS METHOD [J] . J. Y. Tan, J. M. Zhao, L. H. Liu, Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2009,第3a4期

机译：基于无网格法的一阶/二阶辐射转移方程的精度和求解成本的比较研究
4. FINITE-VOLUME SOLUTION OF THE P3 EQUATIONS OF RADIATIVE TRANSFER AND COUPLING TO REACTING FLOW CALCULATIONS [C] . MAHESH RAVISHANKAR, SANDIP MAZUMDER, ANKAN KUMAR ASME summer heat transfer conference;HT2009 . 2009

机译：P3辐射传递方程的有限体积解及对流计算的耦合
5. Parallel, Block-Based, Adaptive Mesh Refinement, Finite-Volume Scheme for Solution of Three-Dimensional Favre-Averaged Navier-Stokes Equations. [D] . Prasad, Shawn. 2013

机译：并行，基于块的自适应网格细化有限体积方案，用于求解三维均值平均Navier-Stokes方程。
6. Corrigendum to Solution of Radiative Transfer Equation with a Continuous and Stochastic Varying Refractive Index by Legendre Transform Method [O] . R. Baazaoui, M. Gantri 2016

机译：有关通过勒让德变换法求解具有连续和随机变化的折射率的辐射传递方程的解决方案勘误
7. Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. III. Uniqueness of viscosity solutions for general second-order equations [O] . Lions P.L 1989

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8. Generalized Solutions of the Radiative Transfer Equations in a Singular Case [R] . Golse, F., Perthame, B. 1985

机译：奇异情形下辐射传输方程的广义解

Finite-volume solution of the second-order radiative transfer equation: Accuracy and solution cost

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