Abstract
In this paper, a new numerical method, the coupling method of spherical harmonic function spectral and streamline diffusion finite element for unsteady Boltzmann equation in the neutron logging field, is discussed. The convergence and error estimations of this scheme are proved. Its applications in the field of neutron logging show its effectiveness.
Similar content being viewed by others
References
Ullo John J. Use of multidimensional transport methodology on nuclear logging problems [J].Nucl Sci and Engi, 1986,92(2):228–239.
Larson E. Diffusion-synthetic methods for discrete ordinates equation[A].Proc Topl Mtg Advances in Reactor Computations[C]. Vol. 2, Salt Lake City Utah: American Nuclear Society, March 28–31, 1983, 705.
Lawrence R D, Dorning J J. A discrete nodal integral transport theory method for multidimensional reactor physics and shielding computations [A].Proc Conf 1980Advances in Reactor Physics and Shielding [C]. Sun Valley, September 14–19, 1980. Idaho: American Nuclear Society, 1980,840.
Zhang Jintao. The application of finite element method is the numerical simulation for neutron logging [J].Commputing Physics, 1996,13(1):7–13. (in Chinese)
Canuto C, Quarteroni A. Approximate results for orthogonal polynomials in Sobolev spaces[J].Math Comp, 1982,38(1):67–86.
Li Kaitai, Huang Aixiang, Huang Qinghuai,Finite Element Method and Its Application [M], Xi'an: Xi'an Jiaotong University Press, 1992. (in Chinese)
Mei Liquan. Spectral finite element method for neutron logging problem [D]. Doctor Dissertation, Xi'an: Xi'an Jiaotong University, 1997. (in Chinese)
Author information
Authors and Affiliations
Additional information
Communicated by Dai Shiqiang
Foundation item: the National Natural Science Foundation of China (19671067)
Rights and permissions
About this article
Cite this article
Liquan, M. A spectral streamline diffusion finite element coupling method of unsteady transport equation in the field of neutron logging. Appl Math Mech 20, 739–747 (1999). https://doi.org/10.1007/BF02454895
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02454895