Frequency-Dependent Discrete Implicit Monte Carlo Scheme for the Radiative Transfer Equation
Autor: | Elad Steinberg, Shay I. Heizler |
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Rok vydání: | 2023 |
Předmět: |
Plasma Physics (physics.plasm-ph)
Nuclear Energy and Engineering FOS: Physical sciences Computational Physics (physics.comp-ph) Astrophysics - Instrumentation and Methods for Astrophysics Physics - Computational Physics Instrumentation and Methods for Astrophysics (astro-ph.IM) Physics - Plasma Physics |
Zdroj: | Nuclear Science and Engineering. :1-13 |
ISSN: | 1943-748X 0029-5639 |
Popis: | This work generalizes the discrete implicit Monte-Carlo (DIMC) method for modeling the radiative transfer equation from a gray treatment to an frequency-dependent one. The classic implicit Monte-Carlo (IMC) algorithm, that has been used for several decades, suffers from a well-known numerical problem, called teleportation, where the photons might propagate faster than the exact solution due to the finite size of the spatial and temporal resolution. The Semi-analog Monte-Carlo algorithm proposed the use of two kinds of particles, photons and material particles that are born when a photon is absorbed. The material particle can `propagate' only by transforming into a photon, due to black-body emission. While this algorithm produces a teleportation-free result, it is noisier results compared to IMC due to the discrete nature of the absorption-emission process. In a previous work [Steinberg and Heizler, ApJS, 258:14 (2022)], proposed a gray version of DIMC, that makes use of two kinds of particles, and therefore has teleportation-free results, but also uses the continuous absorption algorithm of IMC, yielding smoother results. This work is a direct frequency-dependent (energy-dependent) generalization of the DIMC algorithm. We find in several one and two dimensional benchmarks, that the new frequency-dependent DIMC algorithm yields teleportation-free results on one hand, and smooth results with IMC-like noise level. Comment: 22 pages, 6 figures |
Databáze: | OpenAIRE |
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