Numerial solution of the Laplace Equation by Jacobi method

Background

Please refer to background.

Parallelization

Dependencies

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

Compilation

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

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

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

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