Faster-than-real-time simulation of nuclear reactor accidents: the TRAC-NPA code Page: 5 of 11
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-4-
A stayyered spatial resli is used lor the lirite-dillerer.ee equations, with
t he rr.odvr.ami c properties evaluated at the cell ccr.’ers and the velocity
evaluated at the tell edyes. T. cr.su re stahiliiv ar.d to maintain consistency
with d i f ferenc i r.y i r. previous ik.AC versions. I lux terms at cell edyes use
donor-cell averayes of the form
A
V
■
+
S
rj
II
<
■_■ -
+
fwl
V,+l/2 * 0
- Yj + lV.l+l / 2
■ Vj + 1/2 ° 1
(4.)
Mere. Y may be ary state variable. With this notation, the one-d i mens i ona 1
finite-difrerer.ee divergence operator is
Vj • (YV) . lAjtl/2<YV>j+1/2 - AM/,<YV>M/2>/vol
(?)
bee ones
of the ce1i edye
and vo1 ■
t he cell vo1ume.
The term VVV
/2( V j+l. 2 ‘ V.i - 1. 2
1 /Ax. t + 1/2■
V., + l '2 > "
2l V i+d 2 ‘ Vt+1 2
1 .1 + 1. 2-
V.,+ l ? * " ■
( b 1
whe re
Ax j + 1/2 = O-.MAX j + AsJ+] i.
lor the flow model yiver, hv l.qs. (l)-l.M. the combination of basic and
stabilizer equation sets car. he written in several wavs. One orderir.p that is
stable even for three-dimensional, two-phase Mow hey i its with 111” stabilizer
step for .lie equations of motion, is lollowed hy a solution of the li.isic
equation set lor all equations, ar.d ends with a stabilizer step lor llie mass and
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Woodruff, S.B. Faster-than-real-time simulation of nuclear reactor accidents: the TRAC-NPA code, article, April 1, 1985; New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc1085692/m1/5/: accessed July 16, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.