Numerial solution of the Laplace Equation by Jacobi method

Background

Please refer to background.

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Parallelization

Please refer to parallelization.

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Dependencies

• Parallel version requires mpi compliant library
• Accelerated version requires openacc
• Plotting requires gnuplot
• Creating gif requires imagemagick

Compilation

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To compile it is possible to use the command

make [version]

where [version] can be either blank, mpi or openacc. This will produce the [version]multiplication.x executable (the name will depend on which version it has been compiled).

Execution

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The program will initialize the data and run the simulation. To run it is possible to use

make [version]run [prc=%d] [dim=%d] [iters=%d]

where [version] as above, prc number of processes, dim dimension of the grid and iters iterations of the simulation. This will produce, if necessary, the [version]multiplication.x executable (the name will depend on how it has been compiled) and run it.

Test

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To test it is possible to pass the debug=yes flag while making

make [version] debug=yes

and then run the [version]multiplication_debug.x executable using mpirun. It is also supported the command:

make [version]run debug=yes

which will compile (if necessary) and run immediately after.

Other

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Use:

• make plot to see the solution (that is what is obtained after the last iteration)

  

• make clean and make flush to clean up

• make gif [delay=%d] [frames=%d] to create GIF