Annual progress report, FY1974 Page: 6 of 38
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3.
been examining. the use of the prompt jump approximation for the
analysis- of space-dependent transients. In such problems the
d$
analog of the prompt jump approximation is to set dt = 0
g
for all groups, g.
The results of our investigations have not been encouraging.
We have compared prompt jump results with standard Crank-Nicholson
solutions of the one-group diffusion equations with the term 1 d$
vdt
retained and have found that for most cases the two schemes give
results of comparable accuracy even with time steps as large as a
few tenths of a second. Evidently the exponentials involving
large periods (poorly described by the Crank-Nicholson method when
the time steps are large) make only a small contribution to the
overall solution and thus yield Crank-Nicholson results that are
more accurate than might be expected.
There is some reason to believe this might no longer
be the case in two and three dimensions. But this is not certain,
and, for two and three dimensions, solution of the prompt jump
equations requires use of an iterative procedure that might well
take longer than the time required to solve the diffusion equations
d$
with the terms 1 d retained.
g
Thus, we plan no further investigation of the prompt jump
approach at the present time. - -
2.2 GAKIN-II , -
A multigroup, one-dimensional kinetics code, GAKIN1 was
written several years ago (1967) for use with HTGR's and LMFBR's.
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Hansen, K. F. & Henry, A. F. Annual progress report, FY1974, report, April 1974; Cambridge, Massachusetts. (https://digital.library.unt.edu/ark:/67531/metadc1019464/m1/6/: accessed July 16, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.