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首页> 外文期刊>International Journal of Heat and Mass Transfer >Participating media exposed to collimated short-pulse irradiation - A Laguerre-Galerkin solution
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Participating media exposed to collimated short-pulse irradiation - A Laguerre-Galerkin solution

机译：暴露于准直短脉冲辐射的参与介质-Laguerre-Galerkin解决方案

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摘要

A new method is developed for the solution of radiative transfer in a one-dimensional absorbing and isotropically scattering medium with short-pulse irradiation on one of its boundaries. The time-dependent radiative intensity is expanded in a series of Laguerre polynomials with time as the argument. Moments of the radiative transfer equation, as well as of the boundary conditions, then yield a set of coupled time-independent radiative transfer problems. This set, in turn, is reduced to a set of algebraic equations by the application of the Galerkin method. The transient transmittance and reflectance of the medium are evaluated for various values of the optical thickness, scattering albedo and pulse duration. It is demonstrated that the Laguerre-Galerkin method is not only easier to implement and more efficient but also yields more accurate results compared to the direct application of the Galerkin method. The results are in very good agreement with those available in the literature.
机译：开发了一种解决一维吸收和各向同性散射介质中辐射传递的方法，该介质在其边界之一上具有短脉冲辐射。随时间变化的辐射强度在一系列以时间为参数的Laguerre多项式中扩展。然后，辐射传递方程以及边界条件的矩产生了一组耦合的，与时间无关的辐射传递问题。通过应用Galerkin方法，该集合又被简化为一组代数方程。针对光学厚度，散射反照率和脉冲持续时间的各种值，评估了介质的瞬态透射率和反射率。事实证明，与直接应用Galerkin方法相比，Laguerre-Galerkin方法不仅易于实施且效率更高，而且产生的结果更准确。结果与文献中的结果非常吻合。

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