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KINEXP

Modeling dynamic processes in nuclear reactors and neutron transport problem, especially in emergency situations is complicated 3D task. These problems require a considerable increase in solution precision. Deep parallelization allows use more precise and efficient methods.

The space neutron kinetics with taking into account the delayed neutrons are described by the following system of differential equations:

(1)

with the boundary and initial conditions:

_{, ,} ,

Here we use the following designations:

- group neutron fluxes;

- group neutron macro cross sections;

- group neutron scalar velocities;

- group prompt neutron fission spectrum;

- energy group number;

- nuclear concentrations of delayed neutron precursors;

- decay constants of delayed neutron precursors;

- group delayed neutron fraction;

- group delayed neutrons emission spectrum;

- total number of delayed neutrons;

- delayed neutron group number.

The effective explicit schemes are suggested for solving space neutron kinetic problem on multiprocessor computers. These schemes use multi-step computational cycles with parameters determined by Chebyshev’s polynomials. The space kinetics problem is considered in the general evolution form. Analytical expressions have been derived for step operators from one time level to the next one as applied to the cyclic schemes. The practical interest in such schemes is explained by their effectiveness and by simple implementation, as they save the structure of explicit schemes, and they easily are parallelized on multiprocessor computers.

• The entire computation domain is embedded into the 3D parallelepiped. All basic arrays are declared as regular 3D arrays. It allows performing parallelization in three directions: X, Y and Z.

RUNNING KINEXP

The dynamic diffusion task Kinexp is run in 4 stages. Three of them are preliminary and in one of them the actual calculation is performed. All the stages use two libraries in directories REA.AVI and AR.AVI. As the libraries are used both in serial and parallel stages, all the libraries must be present in serial and parallel version. Parallel versions of libraries are in the directories REA_DVM.AVI and AR_DVM.AVI.

1.Make executables for tasks of creating an empty archive and preparing the source data. It it is necessary to make REA.AVI and AR.AVI libraries; compile programs in directories CHRTS.AVI, INCON.AVI, INFLUX.AVI and FLX316.AVI. Executables are moved to the DAT.AVI directory. In order to do this, it is necessary to move files dvm.bat and usr.par to the DAT.AVI directory and run:

makeall.bat

As a result, the following files must appear in DAT.AVI:

chrts.exe,

incon.exe,

influx.exe,

flx316.exe

2.Prepare the source data, running the files named before. Run the file in DAT.AVI:

step0.bat

The result is the serial execution of chrts.exe, incon.exe, influx.exe and flx316.exe in the directory. On the data file request, input aer.dat. After this, confirm the name by pressing Enter. The files must appear:

chrts.out,

incon.out,

influx.out,

flx316.out,

a0.log,

a1.bin

3. Make the executable of the parallel version of kinexp. Convert and compile subprograms in AR_DVM.AVI, REA_DVM.AVI, make the corresponding libraries. Convert and compile subprograms in KINEXP directory. Move the executable to DAT.AVI. Run:

makeexe.bat

The file will appear in DAT.AVI:

kinexp.exe

4.Run the parallel version of kinexp.exe in DAT.AVI.

dvm run <size> kinexp

where size is the size of the processor matrix.

All the runs update data in the archive files named a0.log and a1.bin. Repeated runs of Kinexp are possible only if archive files are restored. In order to do this step1.bat must be executed before running kinexp.exe.

After changing the programs, before making new executables it is necessary to run makeclean.bat. If only parallel programs and/or parallel libraries were changed it is enough to run:

makeexe.bat

If necessary, it is possible to correct the source parameter group in kinexp.scl file, for example maximal external iteration number (nend parameter) or maximum number of internal iterations (ip parameter). If file kinexp.scl does not exist then ip and nend parameters are standard. If parameter ip is equal to zero the number of internal iteration is calculated in the program. After changing the parameters, it is necessary to run the program again (3.). It is possible to decrease nend or ip parameter. It will increase speed, but the results may lack physical sense.

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