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

التفاصيل البيبلوغرافية
العنوان: ANALYTIC DISCRETE-ORDINATES SOLUTION FOR TIME-DEPENDENT TRANSPORT IN FINITE MEDIA.
المؤلفون: Margulis, M., Blaise, P., Densmore, Jeffery D.1 jeffery.densmore@unnpp.gov, Kooreman, Gabriel1 gabriel.kooreman@unnpp.gov
المصدر: EPJ Web of Conferences. 2021, Vol. 247, p1-8. 8p.
مصطلحات موضوعية: *DISCRETE ordinates method in transport theory, *LAPLACE transformation, *BOUNDARY value problems, *NUCLEAR fission, *NUCLEAR reactors
مستخلص: 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. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:21016275
DOI:10.1051/epjconf/202124707012