Solution of radiative transfer problems in participating, linearly anisotropically scattering hollow spherical medium with $SK_N$ method

Sentetik Kernel metodu, soğuran, yayan ve lineer anizotropiyle saçan içiçe küresel ortamların ısıl ışınım problemlerine uygulanmıştır. Metot, ışınım integral taşınım kernellerine sentetik kerneller ile yaklaşımda bulunmak suretiyle, bir takım-diferansiyel denklem sistemine indirgenmesi esasına dayanır. Metot, çeşitli optik geometriler, homojen ve homojen olmayan ortamların simülasyonunda, sabit ve uzay-bağımlı saçılma albedo değişimlerine karşın ışınım integral denkleminin gerçek çözümüyle karşılaştırılmıştır. Düşük mertebeli SKN yaklaşımın bir boyutlu küresel katılımcı ortam ışınım taşınımı problemlerinin çözümünde kullanılabileceği gösterilmiştir.

Lineer anisotropiyle saçan katılımcı içiçe küresel ortamda ışınım ısı transfer probleminin $SK_N$, metodu ile çözümü

The Synthetic Kernel (SKN) approximation is employed to radiative transfer problems of hollow spherical participating and linearly anisotropically scattering medium. The SKN method relies on approximating the integral transfer kernels by synthetic kernels. The radiative integral transfer equations (RITEs) are then reduced to a set of coupled second-order differential equations. The method is tested against exact solution for various optical geometries, constant and space-dependent scattering albedo variations simulating homogeneous/inhomogeneous medium. It is demonstrated that low order SKN approximation can be used to solve one dimensional radiative transfer problems of spherical participating medium.

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