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Volume 2: Nuclear Fuel and Material, Reactor Physics and Transport Theory, and Fuel Cycle Technology, 2022
Abstract The variational nodal method (VNM) is an advanced nodal method in the field of reactor physics. The VNM solves neutron transport equations directly without transverse leakage interpolations used in other nodal methods. Moreover, the VNM can tackle arbitrary expansion orders.
Qizheng Sun +2 more
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Abstract The variational nodal method (VNM) is an advanced nodal method in the field of reactor physics. The VNM solves neutron transport equations directly without transverse leakage interpolations used in other nodal methods. Moreover, the VNM can tackle arbitrary expansion orders.
Qizheng Sun +2 more
exaly +2 more sources
Nuclear Science and Engineering, 2017
AbstractA three-dimensional variational nodal method (VNM) is presented for pressurized water reactor core calculations without fuel-moderator homogenization.
Tengfei Zhang, E E Lewis, Won Sik Yang
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AbstractA three-dimensional variational nodal method (VNM) is presented for pressurized water reactor core calculations without fuel-moderator homogenization.
Tengfei Zhang, E E Lewis, Won Sik Yang
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Nuclear Engineering and Design, 2018
Abstract An improved variational nodal method is presented for the solution of the three-dimensional (3D) steady-state multi-group neutron transport equation. The variational functional is constructed that reproduces the even parity neutron transport equation with isotropic scattering.
Tengfei Zhang +2 more
exaly +2 more sources
Abstract An improved variational nodal method is presented for the solution of the three-dimensional (3D) steady-state multi-group neutron transport equation. The variational functional is constructed that reproduces the even parity neutron transport equation with isotropic scattering.
Tengfei Zhang +2 more
exaly +2 more sources
Variational Nodal Methods for Neutron Transport
Nuclear Science and Engineering, 1985Nodal diffusion and transport methods are formulated variationally in terms of the even-parity form of the neutron transport equation and applied to problems in X-Y geometry.
I. Dilber, E. E. Lewis
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Simplified Spherical Harmonics in the Variational Nodal Method
Nuclear Science and Engineering, 1997The multigroup simplified spherical harmonics equations with anisotropic scattering are derived from a variational principle that preserves nodal balance. The resulting equations are discretized using a Ritz procedure with spatial trial functions that are complete polynomials within the nodes and on the interfaces. The resulting equations are case in a
E. E. Lewis, G. Palmiotti
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Variational Nodal Transport Methods with Anisotropic Scattering
Nuclear Science and Engineering, 1993The variational nodal method is generalized to treat within-group and group-to-group anisotropic scattering in two- and three-dimensional eigenvalue and fixed source problems.
G. Palmiotti, C. B. Carrico, E. E. Lewis
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A Variational Synthesis Nodal Discrete Ordinates Method
Nuclear Science and Engineering, 1999A self-consistent nodal approximation method for computing discrete ordinates neutron flux distributions has been developed from a variational functional for neutron transport theory. The advantage of the new nodal method formulation is that it is self-consistent in its definition of the homogenized nodal parameters, the construction of the global ...
J. A. Favorite, W. M. Stacey
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Variational Nodal Transport Methods with Heterogeneous Nodes
Nuclear Science and Engineering, 1997The variational nodal transport method is generalized for the treatment of heterogeneous nodes while maintaining nodal balances. Adapting variational methods to heterogeneous nodes requires the ability to integrate over a node with discontinuous cross sections.
T. H. Fanning, G. Palmiotti
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Variational Formulation of a Higher Order Nodal Diffusion Method
Nuclear Science and Engineering, 1990A higher order nodal diffusion method is formulated, based on variational principle Kantorovich's variational method, and the patch test. In this paper, the relationship between finite element and nodal methods is discussed and the differences are pointed out.
D. V. Altiparmakov, Dj. Tomašević
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Investigation on generalized Variational Nodal Methods for heterogeneous nodes
Annals of Nuclear Energy, 2017Abstract The Variational Nodal Method (VNM) is generalized for heterogeneous nodes and applied to four kinds of problems including Molten Salt Reactor (MSR) core problem with continuous cross section profile, Pressurized Water Reactor (PWR) control rod cusping effect problem, PWR whole-core pin-by-pin problem, and heterogeneous PWR core problem ...
Yongping Wang +4 more
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