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12.2 Differences between parallel and serial programs
As far as possible, the parallel programs copy their serial counterparts. For example com-
parison of Program 5.5 (serial) and Program 12.1 (parallel) will show that the element
integration loop, beginning with label gauss_pts_1 is exactly the same in both versions.
Such a consistency indicates “local” or “embarrassingly parallelisable” sections of code.
When distributed arrays are involved, for example in the section following “pcg equation
solution” the coding is identical with the exception of _P in the DOT_PRODUCT calls,
the _pp appendage to array names ( r becomes r_pp and so on) and the distributed
convergence check checon_par .
In what follows, the differences between parallel and serial programs are described.
These differences are common to all the parallelised programs.
12.2.1 Parallel libraries
Serial libraries new_library and geometry_lib perform the same tasks as main and
geom in the earlier Chapters but are augmented by six others, as shown in Table 12.3.
Table 12.3
Parallel libraries
Library name
Usage
Sets precision for REAL variables
precision
Sets
various
MPI
routines
for
broadcasting,
distributed
utility
DOT PRODUCT etc
mp module Various MPI routines
timing Routines to assist with performance evaluation
global variables1 Designation of some widely used variables as “global”, not
declared elsewhere
MPI routines for collecting data from, or distributing it to, par-
allel processors
gather scatter6
12.2.2 Global variables
In the serial programs, all variables were declared in all programs. In the parallel versions,
some widely used variables are declared as “global.” These are, with their meanings:
ndof Number of degrees of freedom per element or sub-element
nels Number of elements
nels pp Number of elements per processor (variable)
neq
Number of equations
Number of equations per processor (variable)
neq pp
Total number of degrees of freedom per element
ntot
Counter for element per processor
ielpe
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