MORSE E A New Version of the Morse Code ESIS EUR 5212

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EUR 5212

e

COMMISSION OF THE EUROPEAN COMMUNITIES

MORSE - E

A NEW VERSION OF THE MORSE CODE

ESIS

by

C. PONTI and R. VAN HEUSDEN

1974

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EUR 5212 e

MORSE — E

A NEW VERSION OF THE MORSE CODE by C. PONTI and R. VAN HEUSDEN

Commission of the European Communities

Joint Nuclear Research Centre — Ispra Establishment (Italy) Luxembourg, December 1974 — 14 Pages — B.Fr. 40.—

This report describes a version of the MORSE code which has been written to facilitate the practical use of this programme. MORSE-Ε is a ready-to-use version that does not require particular programming efforts to adapt the code to the problem to be solved. It treats source volumes of different geometrical shapes.

MORSE-Ε calculates the flux of particles as the sum of the paths travelled within a given volume; the corresponding relative errors are also provided.

EUR 5212 e

MORSE — E

A NEW VERSION OP THE MORSE CODE by C. PONTI and R. VAN HEUSDEN

MORSE-Ε calculates the flux of particles as the sum of the paths travelled within a given volume; the corresponding relative errors are also provided.

EUR 5212 e

MORSE — E

A NEW VERSION OF THE MORSE CODE by C. PONTI and R. VAN HEUSDEN

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EUR 5212

COMMISSION OF THE EUROPEAN COMMUNITIES

MORSE-E

A NEW VERSION OF THE MORSE CODE

ESIS

by

C. PONTI and R. VAN HEUSDEN

1974

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ABSTRACT

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3

-CONTENT

Page

1. Introduction 3 2 . Source geometry 4 3 . Calculation of the flux 5 4 . Input of MORSE-E 5 5 . Comments on the subroutines which have been added or changed 8

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1 . INTRODUCTION

The Monte Carlo code MORSE / 1 / , which has been in use since 1970, is well known. Its flexibility leads to adequate solutions to many p r o b l e m s ; in p a r t i c u l a r its ability to deal with 3D i r r e g u l a r g e o m e t r i e s , with coupled n e u t r o n - g a m m a - r a y p r o b l e m s , with albedo s u r f a c e s , and the application of suitable variance reduction techniques, is very useful in shielding applica tions .

F u r t h e r m o r e the Monte Carlo method offers great accuracy in the d e s c r i p tion of physical phenomena, and is essentially free from n u m e r i c a l e r r o r s . All these qualities should greatly i n c r e a s e the application and the use of Monte Carlo codes within the shielding community.

It a p p e a r s , however, that these codes a r e not widely u s e d . In E u r o p e , in p a r t i c u l a r , only a few people have experience of the Monte Carlo codes available for distribution, and only in three installations has experience of the use of MORSE been developed / 2 / . One of the reasons for the limited use of this code is in the work that one has to do to adapt the code to the

p a r t i c u l a r problem that one needs to s o l v e . R a t h e r than a code in the traditional meaning of the word, MORSE can be considered as a very flexible set of

s u b p r o g r a m s that can be tailored to solve any p a r t i c u l a r shielding p r o b l e m . This work to "tailor" the code is neither trivial nor negligible and r e q u i r e s a detailed knowledge of the code.

The use of the SAMBO package / 3 / may help in doing this work, but does not avoid it, and in general it is r a t h e r expensive in t e r m s of machine t i m e .

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The u s e r may choose among several source g e o m e t r i e s d e s c r i b e d in the following section.

MORSE-Ε calculates particle fluxes and reaction r a t e s a v e r a g e d over the volume of the zones requested by the u s e r (see section 3); the corresponding standard deviation is also computed.

2. SOURCE GEOMETRY

MORSE-Ε may consider isotropic s o u r c e s , uniformely d i s t r i b u t e d over a volume. The geometry of the source can be one of the t h r e e following:

a) Parallelepiped b) Sphere

c) Cylinder

In the f i r s t c a s e , the parallelepiped m u s t have its faces p a r a l l e l to the coordinate planes; p a r t i c u l a r cases may be a rectangle (one side is equal z e r o ) , or a segment of a straight line (two sides equal z e r o ) .

The second case includs spherical shells; these a r e defined by the

coordinates of the centre and by the inner and outer radius of the s h e l l . The cylinder m u s t have its axis parallel to one of the coordinate a x e s , x, y or ζ . The m o r e general case is that of a cylindrical shell with inner

radius Ro and outer radius R ; particular c a s e s m a y b e the disk (height equals zero) or annulus .

Care should be taken that the source volume lies entirely within the s y s t e m to be t r e a t e d .

Only one source volume may be specified for each " r u n " (set of b a t c h e s ) ; the case of m o r e than one source volume may be dealt with in one job, containing a number of runs (NQIT in card Β of MORSE input) equal to the number of source v o l u m e s . In this way different s o u r c e s may be t r e a t e d

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7

-3 . CALCULATION OF THE FLUX

Fluxes and response functions a r e calculated in those geometrical media that a r e requested in input. E the flux is needed in a certain region of space, this region will receive a particular medium number that will be included in the list of the media for which the flux is wanted. A proper input table is used t o fix the correspondence (through the subroutine GTMED) between the media and the c r o s s - s e c t i o n s to be applied.

The flux, in a given medium and group, is computed as t h e weighted sum of the paths travailed within that medium by the particles belonging to that energy g r o u p . This provides the integral of the flux over the volume filled by that m e d i u m .

The corresponding standard deviation is calculated in the usual way (through the subroutines VARI, VAR2) from the r e s u l t s of s e v e r a l b a t c h e s . The normalization of the r e s u l t s to a given value of the total source (EKONST in input) is also provided.

4 . INPUT OF MOR SE-E

The input of MORSE-Ε is the same as that of MORSE, as described in

appendix C of / 1 ~/, plus the set of cards listed below that have to be entered after the "mixing c a r d s " X F .

In MORSE-Ε we can distinguish between " n o r m a l " media and " s p e c i a l " media; n o r m a l media are those for which a c r o s s - s e c t i o n set is specified, special media a r e the o t h e r s , for which a c r o s s - s e c t i o n set need not be specified, such as internal voids (MED-1000), external voids (MED=0), or albedo media, Normal media should be numbered in o r d e r from 1 to NN1 .

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8

A t a b l e of c o r r e s p o n d e n c e b e t w e e n n o r m a l m e d i u m n u m b e r s and c r o s s

-s e c t i o n -s e t -s m u -s t b e -s e t u p for the -s u b r o u t i n e G T M E D .

The a n a l y s i s input d a t a r e a d by s u b r o u t i n e SCOR IN a r e the f o l l o w i n g :

C a r d TA (15)

NT N u m b e r of m e d i a for w h i c h the flux i s r e q u e s t e d

F l u x e s m a y b e c a l c u l a t e d in n o r m a l m e d i a a n d / o r in i n t e r n a l v o i d s .

C a r d TB (15)

NN1 N u m b e r of n o r m a l m e d i a

C a r d TC (1415)

N X T . M e d i u m n u m b e r s for w h i c h the flux is r e q u e s t e d ; ι

NT e n t r i e s

C a r d TD ( 2 1 5 , 2X, I5A4) NN1 c a r d s

M l N u m b e r of n o r m a l m e d i u m

MX1 c o r r e s p o n d i n g n u m b e r of c r o s s - s e c t i o n s e t

L A B E L A l p h a n u m e r i c i n f o r m a t i o n to identify the m e d i u m

One TD c a r d m u s t b e e n t e r e d for e a c h n o r m a l m e d i u m ; the f i r s t w i t h M l = 1,

the o t h e r s in o r d e r up to M l = NN1 .

C a r d T E ( E . 1 0 . 0 )

E K O N S T N o r m a l i z a t i o n f a c t o r

The following input is r e a d in for e a c h new r u n .

The d e s c r i p t i o n of the s o u r c e is r e a d b y s u b r o u t i n e S O U R G E .

C a r d SA (15)

IND = 0 P o i n t s o u r c e (the c o o r d i n a t e s a r e e n t e r e d in c a r d D)

1 P a r a l l e l e p i p e d

2 S p h e r e

' 3 C y l i n d e r

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(IND = 1) C a r d SB ( 6 E 1 0 . 0 )

X l , X2

Y l , Y2 S o u r c e b o u n d a r i e s Z I , Z 2

(IND = 2) C a r d SB ( 3 E 1 0 . 0 )

X I , Y l , Z I C o o r d i n a t e s of t h e c e n t r e of t h e s p h e r e

C a r d SC ( 2 E 1 0 . 0 )

RO I n n e r r a d i u s of t h e s p h e r e

R l O u t e r " " " "

(IND = 3) C a r d SB ( 6 E 1 0 . 0 )

X I , Y l , Z l C o o r d i n a t e s of t h e c e n t r e of the b a s e of the c y l i n d e r

RO I n n e r r a d i u s of the c y l i n d e r

R l O u t e r " " " "

Η H e i g h t of the cylind .r

If IND = 3 c a r d SC i s n e e d e d .

C a r d SC (15)

LAX = 1 c y l i n d e r p a r a l l e l t o Ζ a x i s

= 2 " " II γ I I

= 3 " " " X "

The last part of input is read by subroutine NRUN and provides the calcula

tion of response functions by medium in the following way:

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R =

Ζ

?

m

F

m

g=n

g g

R = response function in medium m m

_/ m . th . . j7 = flux of g group in medium m

_ . . . , th

F = coefficient for the g group

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10

C a r d Z A (15)

NR N u m b e r of r e s p o n s e f u n c t i o n s to b e c o m p u t e d (NR^-0)

NR s e t s of c a r d s ZB and Ζ C a r e e n t e r e d

C a r d ZB (215A4)

I I , 12 c o e f f i c i e n t s a r e g i v e n for g r o u p s II to 12 i n c l u d e d T I T is p r i n t e d a s heading of the r e s p o n s e f u n c t i o n o u t p u t

C a r d Z C ( 7 E 1 0 . 0 )

F v a l u e s for g r o u p s II to 12

Input for the n e x t r u n , if a n y , s t a r t s w i t h c a r d S A .

5 . C O M M E N T S ON THE S U B R O U T I N E S WHICH HAVE B E E N A D D E D OR

CHANGED

M O R S E - Ε u s e s 9 " u s e r r o u t i n e s " a n d 3 new r o u t i n e s . W h a t f o l l o w s a r e s o m e

b r i e f c o m m e n t s .

In M O R S E - Ε the s t o r a g e r e q u i r e d far the b l a n k c o m m o n is i n c r e a s e d by

the a m o u n t

3(NG + 1) N T + 2 · NN1 + NG

NG = n u m b e r of n e u t r o n a n d / o r g a m m a - r a y g r o u p s b e i n g a n a l y s e d

NT and NN1 a r e d e s c r i b e d w i t h c a r d s TA a n d TB in s e c t i o n 4 .

The a m o u n t of b l a n k c o m m o n a c t u a l l y u s e d is p r i n t e d b y the p r o g r a m .

One new l a b e l l e d c o m m o n h a s b e e n i n t r o d u c e d : STAN; it c o n t a i n s 19

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Subroutine B A NKR

The p a r t i c u l a r action of BANKR is that of incrementing by the quantity WTBC · ETATH the flux in a given medium and group each time an event of the type r e a l collision, albedo, boundary c r o s s i n g , or escape occurs in that medium and g r o u p .

Subroutine DIREC

When path length biasing is employed, subroutine DIREC determines the main direction of propagation of p a r t i c l e s ; path stretching will be maximum along this direction.

In MORSE-Ε the main direction is a s s u m e d to be the positive Ζ d i r e c t i o n . If path length biasing is not applied, DIREC is not u s e d .

Subroutine G Τ MED

The correspondence between medium n u m b e r s and c r o s s - s e c t i o n sets is established by this r o u t i n e .

Subroutine SCOR IN

It r e a d s input cards TA to TE inclusive and prints out their content.

Subroutine SOURCE

This subroutine is called for each source particle from MSOUR. The only change introduced is a call to subroutine SOURCE .

Sub r outine_ SOURGE

This is a new subroutine that provides the coordinates Χ, Υ, Ζ of a point drawn out from a u n i f o r m distribution within a given v o l u m e .

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Subroutine S TR UN

Called from BANKR at the beginning of each new ran it sets to z e r o the a r r a y s that will be incremented, at the end of each batch, with the fluxes and square of the fluxes of that b a t c h .

Subroutine STBTCH

Called from BANKR at the beginning of each batch it sets to z e r o the a r r a y used to accumulate the flux of the b a t c h .

Subroutine NBATCH

At the end of each batch this subroutine is called from BANKR to add the fluxes and square of the fluxes of the batch into the p r o p e r a r r a y s .

Subroutine NRUN

NRUN is called from BANKR at the end of the r u n . It calculates the

fractional standard deviations (via subroutine VAR2) , n o r m a l i z e s the flux by dividing by the total number of p a r t i c l e s in the run, multiplies by the normalization factor EKONS Τ (card TE), prints these r e s u l t s , r e a d s r e s p o n s e function data from cards ZA, ZB and ZC, computes and p r i n t s out the r e s p o n s e s .

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REFERENCES

1. E . A . Straker é t a l .

The Morse Code - A Multigroup Neutron and G a m m a - r a y Monte Carlo T r a n s p o r t Code - ORNL-4585 (1970).

2 . Report on the SECU Pilot Study

to be published in Newsletter No 17 by N E A - C P L

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