1
|
Solution of 3D linearly anisotropic scattering, fixed-source multigroup xyz reactor problems by the AN Boundary Element – Response Matrix method. ANN NUCL ENERGY 2019. [DOI: 10.1016/j.anucene.2019.06.010] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
2
|
Implementation of hybrid simulation schemes in COBAYA3/SUBCHANFLOW coupled codes for the efficient direct prediction of local safety parameters. ANN NUCL ENERGY 2014. [DOI: 10.1016/j.anucene.2014.02.028] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
|
3
|
Ozgener B, Cavdar S, Ozgener HA. The extension of the 2-D finite element/boundary element hybrid method to general multigroup neutron diffusion theory. KERNTECHNIK 2013. [DOI: 10.3139/124.100356] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
Abstract
The finite element-boundary element hybrid method developed previously for reflected systems and restricted to one or two group neutron diffusion theory has been extended to the general multigroup neutron diffusion theory by using the boundary integral equation of multigroup neutron diffusion theory. A linear or bilinear 2-D FEM formulation in the core combined with a 2-D linear BEM formulation in the reflector constitute the basic discretization procedure. Use of the boundary integral equation of multigroup diffusion theory transforms all group-to-group scattering domain integrals into surface integrals in the reflector. Hence the need for a reflector domain mesh is completely eliminated. Via comparisons with pure FEM and BEM solutions of the reflected systems within the context of three and four group diffusion theories, the present formulation is validated and assessed.
Collapse
Affiliation(s)
- B. Ozgener
- Energy Institute, Istanbul Technical University, Maslak, Istanbul, 34469, Turkey
- E-mail: and and
| | - S. Cavdar
- Energy Institute, Istanbul Technical University, Maslak, Istanbul, 34469, Turkey
- E-mail: and and
| | - H. A. Ozgener
- Energy Institute, Istanbul Technical University, Maslak, Istanbul, 34469, Turkey
- E-mail: and and
| |
Collapse
|
4
|
TSUJI M, SHIRAHAMA H. Parallelization of the Hierarchical Domain Decomposition Boundary Element Method Applied to Multiregion Problem of Neutron Diffusion Equations. J NUCL SCI TECHNOL 2012. [DOI: 10.1080/18811248.1999.9726223] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
|
5
|
TSUJI M, CHIBA G. High-Speed Parallel Solution of the Neutron Diffusion Equation with the Hierarchical Domain Decomposition Boundary Element Method Incorporating Parallel Communications. J NUCL SCI TECHNOL 2012. [DOI: 10.1080/18811248.2000.9714920] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
|
6
|
Chiba G. Application of the hierarchical domain decomposition boundary element method to the simplified P3 equation. ANN NUCL ENERGY 2011. [DOI: 10.1016/j.anucene.2011.01.011] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
|
7
|
Maiani M, Montagnini B. A Galerkin approach to the boundary element-response matrix method for the multigroup neutron diffusion equations. ANN NUCL ENERGY 2004. [DOI: 10.1016/j.anucene.2004.04.003] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
8
|
CHIBA G, TSUJI M, SHIMAZU Y. Development of the Hierarchical Domain Decomposition Boundary Element Method for Solving the Three-Dimensional Multiregion Neutron Diffusion Equations. J NUCL SCI TECHNOL 2001. [DOI: 10.1080/18811248.2001.9715081] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
|
9
|
Chiba G, Tsuji M, Shimazu Y. A hierarchical domain decomposition boundary element method with a higher order polynomial expansion for solving 2-D multiregion neutron diffusion equations. ANN NUCL ENERGY 2001. [DOI: 10.1016/s0306-4549(00)00100-6] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
|
10
|
Ozgener H, Ozgener B. A multi-region boundary element method for multigroup neutron diffusion calculations. ANN NUCL ENERGY 2001. [DOI: 10.1016/s0306-4549(00)00074-8] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
|