Massive-Parallel Trajectory Calculations (MPTRAC) is a Lagrangian particle dispersion model for the analysis of atmospheric transport processes in the free troposphere and stratosphere.


Cite this software

What MPTRAC can do for you


  • MPTRAC calculates air parcel trajectories by solving the kinematic equation of motion using given horizontal wind and vertical velocity fields from global reanalyses or forecasts.
  • Mesoscale diffusion and subgrid-scale wind fluctuations are simulated using the Langevin equation to add stochastic perturbations to the trajectories. A new inter-parcel exchange module represents mixing of air.
  • Additional modules are implemented to simulate convection, sedimentation, exponential decay, gas and aqueous phase chemistry, and wet and dry deposition.
  • Meteorological data pre-processing code provides estimates of the boundary layer, convective available potential energy, geopotential heights, potential vorticity, and tropopause data.
  • Various output methods for particle, grid, ensemble, profile, sample, and station data. Gnuplot and ParaView interfaces for visualization.
  • MPI-OpenMP-OpenACC hybrid parallelization and distinct code optimizations for efficient use from single workstations to HPC and GPU systems.
  • Distributed as open source under the terms of the GNU GPL.

Getting started

MPTRAC is available from the GitHub repository.

More detailed information for users and developers is provided in the user manual and the doxygen manual.

Further information

These are the main references for citing the MPTRAC model in scientific publications:

  • Hoffmann, L., Baumeister, P. F., Cai, Z., Clemens, J., Griessbach, S., Günther, G., Heng, Y., Liu, M., Haghighi Mood, K., Stein, O., Thomas, N., Vogel, B., Wu, X., and Zou, L.: Massive-Parallel Trajectory Calculations version 2.2 (MPTRAC-2.2): Lagrangian transport simulations on graphics processing units (GPUs), Geosci. Model Dev., 15, 2731–2762,, 2022.

  • Hoffmann, L., T. Rößler, S. Griessbach, Y. Heng, and O. Stein, Lagrangian transport simulations of volcanic sulfur dioxide emissions: Impact of meteorological data products, J. Geophys. Res. Atmos., 121, 4651-4673,, 2016.

Please see the reference list for further information.


We are interested in sharing MPTRAC for operational and research applications.

Please do not hesitate to contact us, if you have any further questions or need support.


Dr. Lars Hoffmann

Jülich Supercomputing Centre, Forschungszentrum Jülich


Logo of MPTRAC
Programming languages
  • C 90%
  • Shell 7%
  • Python 2%
  • Makefile 1%
  • GPL-3.0-or-later
</>Source code

Participating organisations

Forschungszentrum Jülich



Lars Hoffmann
Jan Clemens
Mingzhao Liu
Kaveh Haghighi Mood