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: |
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