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PREDICTION OF RADIATIVE TRANSFER IN GENERAL BODY-FITTED COORDINATES

机译:一般身体坐标系中辐射转移的预测

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摘要

The discrete ordinates method (DOM) and the finite-volume method (FVM) are employed to simulate two-dimensional and three-dimensional radiation problems in general body-fitted coordinates. Numerical analyses of these two methods indicate that the discretized equations for the DOM and the FVM are very similar. However, the FVM uses the averaged direction and scattering phase function over a control angle rather than the discrete direction and scattering phase function as in the DOM. To examine the accuracy and computational efficiency of the DOM and FVM in general body-fitted coordinates, five two-dimensional and three-dimensional benchmark problems with transparent, absorbing, emitting and scattering media are considered. The solutions from both methods are found to be in good agreement with other available solutions. In some cases, the results from the FVM seem slightly better than those from the DOM. The required CPU time and iterations for the DOM and FVM are essentially the same for each problem. This finding is slightly different from other studies that claim that the FVM requires more CPU time to converge than the DOM for scattering-medium computation. [References: 23]
机译:离散坐标法(DOM)和有限体积法(FVM)用于模拟一般人体坐标系中的二维和三维辐射问题。对这两种方法的数值分析表明,DOM和FVM的离散方程非常相似。但是,FVM使用控制角上的平均方向和散射相位函数,而不是像DOM中那样使用离散方向和散射相位函数。为了检查DOM和FVM在一般人体坐标系中的准确性和计算效率,考虑了五个具有透明,吸收,发射和散射介质的二维和三维基准问题。发现这两种方法的解决方案与其他可用解决方案都非常吻合。在某些情况下,FVM的结果似乎比DOM的结果略好。对于每个问题,DOM和FVM所需的CPU时间和迭代基本上是相同的。这一发现与其他研究相比略有不同,后者声称FVM与DOM相比需要更多的CPU时间来收敛,以进行散射介质计算。 [参考:23]

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