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  • In this contribution, we will use the Maxwell-Cartesian spherical harmonics (introduced in [1, 2]) to derive a system of partial differential equations governing transport of neutrons within an interacting medium. This system forms an alternative to the well known P-N approximation, which is based on the expansion into tesseral spherical harmonics ([3, p. 197]). In comparison with this latter set of equations, the Maxwell-Cartesian system posesses a much more regular structure, which may be used for various simplifications that could be advantageous from computational point of view.
  • In this contribution, we will use the Maxwell-Cartesian spherical harmonics (introduced in [1, 2]) to derive a system of partial differential equations governing transport of neutrons within an interacting medium. This system forms an alternative to the well known P-N approximation, which is based on the expansion into tesseral spherical harmonics ([3, p. 197]). In comparison with this latter set of equations, the Maxwell-Cartesian system posesses a much more regular structure, which may be used for various simplifications that could be advantageous from computational point of view. (en)
Title
  • A new perspective on some approximations used in neutron transport modeling
  • A new perspective on some approximations used in neutron transport modeling (en)
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  • A new perspective on some approximations used in neutron transport modeling
  • A new perspective on some approximations used in neutron transport modeling (en)
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  • RIV/49777513:23520/13:43919230!RIV14-TA0-23520___
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  • P(TA01020352), S
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  • 58832
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  • RIV/49777513:23520/13:43919230
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  • Maxwell-Cartesian harmonics; tesseral harmonics; P-N approximation; neutron transport; spherical harmonics (en)
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  • [A43795235F53]
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  • Dolní Maxov
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  • Praha
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  • Programs and Algorithms of Numerical Mathematics 16
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  • Hanuš, Milan
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  • 000317994100013
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  • Matematický ústav AV ČR
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  • 978-80-85823-62-2
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  • 23520
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