ANALYTIC DISCRETE-ORDINATES SOLUTION FOR TIME-DEPENDENT TRANSPORT IN FINITE MEDIA

Autor: Densmore Jeffery D., Kooreman Gabriel
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: EPJ Web of Conferences, Vol 247, p 07012 (2021)
Druh dokumentu: article
ISSN: 2100-014X
DOI: 10.1051/epjconf/202124707012
Popis: We present an extension of the Analytic Discrete-Ordinates method to time-dependent transport in finite media. The application of this technique to time-dependent transport is primarily accomplished through the use of a Laplace transform. In the case of finite media, a system of equations arises from enforcing boundary conditions. Instead of directly solving this system, we construct a solution in terms of a Neumann series. We then show that terms can be neglected when numerically evaluating the inverse Laplace transform such that the series reduces to a finite sum. With this extension, we use convergence acceleration to generate a high-precision benchmark.
Databáze: Directory of Open Access Journals