Computational Methods in Radiative Heat Transfer

这次调查的一个重要组成部分是 所研究组合模式、辐射和 传导，热传导问题， 平行介质和球体和圆柱体中。 一种特别简洁的形式，用于所需的 将使用特定的解决方案，沿着 经典球谐函数法 辐射方程可以被执行 没有粗略的近似， 或方程式。 本研究的一部分将 专注于寻求更好的理解 热传递机制会导致 标准迭代法的收敛性损失 解决方案 这个研究项目的第二个组成部分， 将使用球谐函数法 开发解决一类多组 或非灰色辐射传输问题。 的 要考虑的多组模型允许 广义各向异性散射定律与传递 从一个群体到另一个群体。 计算方面的发达国家 解决方案将被调查，和数值 许多测试案例的结果将是 开发 一旦解决技术 非灰色已经建立和测试 对于平面平行的情况，一些 然后将扩展到问题， 球面和柱面对称。

A significant component of this investigation is the study combined-mode, radiation and conduction, heat-transfer problems in plane- parallel media and in spheres and cylinders. An especially concise form for the required particular solution will be used, along with the classical spherical-harmonics method of solving the radiation equation can be carried out without gross approximations in the solution of either equation. A portion of this study will be focused on seeking better understanding of the heat-transfer mechanisms that can give rise to a loss of convergence in standard iterative solutions. A second component of this research project, the spherical-harmonics method is to be used to develop solutions to a class of multi-group or non-grey radiation-transport problems. The multi-group model to be considered allows a general anisotropic scattering law and transfer from any group to any group. Computational aspects of the developed solutions are to be investigated, and numerical results for numerous test cases are to be developed. Once the solution technique for the non-grey has been established and tested numerically for the plane-parallel case, some extensions will then be made to problems with spherical and cylindrical symmetry.