A quasi-transport integral variational nodal method for homogeneous nodes based on the 2D/1D method.
In: Computer Physics Communications, Jg. 274 (2022-05-01), S. N.PAG
Online
serialPeriodical
Zugriff:
• A quasi-transport method is proposed to accelerate the homogeneous variational nodal method (VNM). • The quasi-transport approximation is used to eliminate the radial-axial cross derivatives. • Radial spherical harmonics in combination with axial diffusion are employed on interfaces to accelerate solution. • Validation against the benchmark proves the significant acceleration performance. There is a pressing need to reduce the computational costs of methods for solving neutron transport problems while maintaining these methods' accuracy. Thus, this paper presents a quasi-transport method to accelerate the integral variational nodal method (VNM) with homogeneous nodes. The even-parity neutron transport equation (NTE) is converted to a quasi-transport form using the two-dimensional/one-dimensional (2D/1D) approximation. The radial-axial cross derivatives are eliminated, and the corresponding nodal functional is derived. Response matrices (RMs) are obtained using a classical Ritz procedure. The radial and axial flux distributions within the nodes are separately approximated by orthogonal polynomials. The integral method is applied to angular approximations for rapid RM construction. Spatial discretization is achieved using orthogonal polynomials on the interfaces. In angle, the radial interfaces are treated with spherical harmonics (P N), whereas axial interfaces are approximated with diffusion. The quasi-transport integral VNM is examined using the TAKEDA-2 and TAKEDA-3 benchmark cases. With P 7 approximation, this method reduces the memory and CPU time requirements by 75% and 93%, respectively. Elimination of the radial-axial cross derivatives and application of the axial diffusion approximation produces less than 1% regional flux error on the axial interfaces between different materials. [ABSTRACT FROM AUTHOR]
Titel: |
A quasi-transport integral variational nodal method for homogeneous nodes based on the 2D/1D method.
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Autor/in / Beteiligte Person: | Yin, Han ; Zhang, Tengfei ; He, Donghao ; Liu, Xiaojing |
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Zeitschrift: | Computer Physics Communications, Jg. 274 (2022-05-01), S. N.PAG |
Veröffentlichung: | 2022 |
Medientyp: | serialPeriodical |
ISSN: | 0010-4655 (print) |
DOI: | 10.1016/j.cpc.2022.108290 |
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