Iterative Solutions to theP1and Double-P1Equations1
作者:
GelbardE.,
DavisJ.,
PearsonJ.,
期刊:
Nuclear Science and Engineering
(Taylor Available online 1959)
卷期:
Volume 5,
issue 1
页码: 36-44
ISSN:0029-5639
年代: 1959
DOI:10.13182/NSE59-A27327
出版商: Taylor&Francis
数据来源: Taylor
摘要:
AbstractThe spherical harmonics approximation oflth order, applied to the transport equation in slab geometry, leads to 2l+ 1 coupled first order differential equations. These may be transformed into (2l+ 1)/2 second order differential equations similar, in form, to the few-group diffusion equations, and amenable to solution by well-known iterative techniques. The double-P1equations of Yvon may be manipulated and solved in the same manner. This article describes an IBM 704 code which makes use of such a method. Some of the results obtained with the code are discussed, and machine times for typical problems are compared with times required to solve the same problem by the discrete ordinate methods.
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