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vmf90 : Vlasov solver for mean-field systems in Fortran 90 {#README}

Copyright © 2009-2015 Pierre de Buyl

vmf90 is a software for the numerical resolution of the Vlasov equation for mean-field systems, currently the Hamiltonian Mean-Field model and the Colson-Bonifacio model for the free electron laser. vmf90 is based on the semi-Lagrangian method with cubic spline interpolation.

vmf90 is developed by Pierre de Buyl and is available under the GNU General Public License. The GNU General Public License is found in the file LICENSE. The homepage for vmf90 is

vmf90 is presented in P. de Buyl, The vmf90 program for the numerical resolution of the Vlasov equation for mean-field systems , Comp. Phys. Comm. (2014) 185, 1822–1827 - [arXiv:1310.0805]. Citations to this reference are recommended and appreciated if you use vmf90 to obtain scientific results.


  • A Fortran 95 compiler.
  • The HDF5 library.

To analyze the data, Python example scripts are provided. They require


  1. Make sure that the h5fc Fortran compiler script for HDF5 is properly set up.

  2. Run the make command with the argument hmf:

    make hmf
  3. The build directory now contains an executable vmf90_hmf.

  4. A HMF_in configuration file is required to set up the simulation. Examples are found in the scripts directory. To copy one of these examples, type:

    cd build
    cp ../scripts/HMF_in.resonances ./HMF_in
  5. A run is performed by executing vmf90_hmf:

  6. After a run is completed, the data is found in the file hmf.h5. Examples scripts on how to read these files in Python are found in the scripts directory. To display the total energy and the interaction and kinetic parts, issue the following command (NumPy, h5py and Matplotlib are required):

    ../scripts/ hmf.h5 plot energy en_int en_kin

To use the FEL program, the instructions are similar but "make hmf" becomes "make fel". Also, the program for the FEL is vmf90_fel and the parameters file for the FEL program is FEL_in.


A doxygen-generated documentation is readily available by executing:

make doc

from the main directory of vmf90. The index of the documentation is found at doc/html/index.html.

Appropriate references to the algorithms are given in the documentation, as well as a full API documentation for the code and the Fortran modules.


vmf90 - Vlasov solver for mean-field systems in Fortran 90








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