Articles | Volume 11, issue 2
https://doi.org/10.5194/gmd-11-575-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-11-575-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Development and technical paper
| 
08 Feb 2018
Development and technical paper |
| 08 Feb 2018
Trajectory errors of different numerical integration schemes diagnosed with the MPTRAC advection module driven by ECMWF operational analyses
Thomas Rößler
CORRESPONDING AUTHOR
Forschungszentrum Jülich, Jülich Supercomputing Centre,
Jülich, Germany
Department of Mathematics,
University of Wisconsin–Milwaukee, Milwaukee, WI, USA
Olaf Stein
Forschungszentrum Jülich, Jülich Supercomputing Centre,
Jülich, Germany
Yi Heng
School of Chemical Engineering and Technology, Sun
Yat-sen University, Guangzhou, China
Paul Baumeister
Forschungszentrum Jülich, Jülich Supercomputing Centre,
Jülich, Germany
Lars Hoffmann
Forschungszentrum Jülich, Jülich Supercomputing Centre,
Jülich, Germany
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Cited
17 citations as recorded by crossref.
- Massive-Parallel Trajectory Calculations version 2.2 (MPTRAC-2.2): Lagrangian transport simulations on graphics processing units (GPUs) L. Hoffmann et al. 10.5194/gmd-15-2731-2022
- A multi-scenario Lagrangian trajectory analysis to identify source regions of the Asian tropopause aerosol layer on the Indian subcontinent in August 2016 J. Clemens et al. 10.5194/acp-24-763-2024
- The Effect of Super Volcanic Eruptions on Ozone Depletion in a Chemistry-Climate Model L. Xu et al. 10.1007/s00376-019-8241-8
- Implementation and evaluation of diabatic advection in the Lagrangian transport model MPTRAC 2.6 J. Clemens et al. 10.5194/gmd-17-4467-2024
- Impact of mountain-wave-induced temperature fluctuations on the occurrence of polar stratospheric ice clouds: a statistical analysis based on MIPAS observations and ERA5 data L. Zou et al. 10.5194/acp-24-11759-2024
- Improved estimation of volcanic SO2 injections from satellite retrievals and Lagrangian transport simulations: the 2019 Raikoke eruption Z. Cai et al. 10.5194/acp-22-6787-2022
- Technical note: A comparative study of chemistry schemes for volcanic sulfur dioxide in Lagrangian transport simulations – a case study of the 2019 Raikoke eruption M. Liu et al. 10.5194/acp-25-4403-2025
- Lagrangian transport simulations using the extreme convection parameterization: an assessment for the ECMWF reanalyses L. Hoffmann et al. 10.5194/acp-23-7589-2023
- Accelerating Lagrangian transport simulations on graphics processing units: performance optimizations of Massive-Parallel Trajectory Calculations (MPTRAC) v2.6 L. Hoffmann et al. 10.5194/gmd-17-4077-2024
- Concentration Trajectory Route of Air pollution with an Integrated Lagrangian model (C-TRAIL Model v1.0) derived from the Community Multiscale Air Quality Model (CMAQ Model v5.2) A. Pouyaei et al. 10.5194/gmd-13-3489-2020
- Orbit Simulator for Satellite and Near-Space Platforms Supporting Observing System Simulation Experiments L. Wang et al. 10.1175/JTECH-D-21-0066.1
- From ERA-Interim to ERA5: the considerable impact of ECMWF's next-generation reanalysis on Lagrangian transport simulations L. Hoffmann et al. 10.5194/acp-19-3097-2019
- Aerosol variations in the upper troposphere and lower stratosphere over the Tibetan Plateau J. Zhang et al. 10.1088/1748-9326/ab9b43
- Long-range transport of volcanic aerosol from the 2010 Merapi tropical eruption to Antarctica X. Wu et al. 10.5194/acp-18-15859-2018
- Tracking Carbon Dioxide with Lagrangian Transport Simulations: Case Study of Canadian Forest Fires in May 2021 Y. Liao et al. 10.3390/atmos15040429
- Anisotropic Lagrangian dispersion in zonostrophic turbulence in a closed basin A. Durán Colmenares & L. Zavala Sansón 10.1063/5.0105846
- Intercomparison of meteorological analyses and trajectories in the Antarctic lower stratosphere with Concordiasi superpressure balloon observations L. Hoffmann et al. 10.5194/acp-17-8045-2017
16 citations as recorded by crossref.
- Massive-Parallel Trajectory Calculations version 2.2 (MPTRAC-2.2): Lagrangian transport simulations on graphics processing units (GPUs) L. Hoffmann et al. 10.5194/gmd-15-2731-2022
- A multi-scenario Lagrangian trajectory analysis to identify source regions of the Asian tropopause aerosol layer on the Indian subcontinent in August 2016 J. Clemens et al. 10.5194/acp-24-763-2024
- The Effect of Super Volcanic Eruptions on Ozone Depletion in a Chemistry-Climate Model L. Xu et al. 10.1007/s00376-019-8241-8
- Implementation and evaluation of diabatic advection in the Lagrangian transport model MPTRAC 2.6 J. Clemens et al. 10.5194/gmd-17-4467-2024
- Impact of mountain-wave-induced temperature fluctuations on the occurrence of polar stratospheric ice clouds: a statistical analysis based on MIPAS observations and ERA5 data L. Zou et al. 10.5194/acp-24-11759-2024
- Improved estimation of volcanic SO2 injections from satellite retrievals and Lagrangian transport simulations: the 2019 Raikoke eruption Z. Cai et al. 10.5194/acp-22-6787-2022
- Technical note: A comparative study of chemistry schemes for volcanic sulfur dioxide in Lagrangian transport simulations – a case study of the 2019 Raikoke eruption M. Liu et al. 10.5194/acp-25-4403-2025
- Lagrangian transport simulations using the extreme convection parameterization: an assessment for the ECMWF reanalyses L. Hoffmann et al. 10.5194/acp-23-7589-2023
- Accelerating Lagrangian transport simulations on graphics processing units: performance optimizations of Massive-Parallel Trajectory Calculations (MPTRAC) v2.6 L. Hoffmann et al. 10.5194/gmd-17-4077-2024
- Concentration Trajectory Route of Air pollution with an Integrated Lagrangian model (C-TRAIL Model v1.0) derived from the Community Multiscale Air Quality Model (CMAQ Model v5.2) A. Pouyaei et al. 10.5194/gmd-13-3489-2020
- Orbit Simulator for Satellite and Near-Space Platforms Supporting Observing System Simulation Experiments L. Wang et al. 10.1175/JTECH-D-21-0066.1
- From ERA-Interim to ERA5: the considerable impact of ECMWF's next-generation reanalysis on Lagrangian transport simulations L. Hoffmann et al. 10.5194/acp-19-3097-2019
- Aerosol variations in the upper troposphere and lower stratosphere over the Tibetan Plateau J. Zhang et al. 10.1088/1748-9326/ab9b43
- Long-range transport of volcanic aerosol from the 2010 Merapi tropical eruption to Antarctica X. Wu et al. 10.5194/acp-18-15859-2018
- Tracking Carbon Dioxide with Lagrangian Transport Simulations: Case Study of Canadian Forest Fires in May 2021 Y. Liao et al. 10.3390/atmos15040429
- Anisotropic Lagrangian dispersion in zonostrophic turbulence in a closed basin A. Durán Colmenares & L. Zavala Sansón 10.1063/5.0105846
Latest update: 31 May 2025
Short summary
In this study, we performed an assessment of truncation errors and computational efficiency of trajectory calculations using six popular numerical integration schemes of the Runge–Kutta family. More than 5000 transport simulations for different seasons and regions of the free troposphere and stratosphere were conducted, driven by the latest version of ECMWF operational analyses and forecasts. The study provides guidelines to achieve the most accurate and efficient trajectory calculations.
In this study, we performed an assessment of truncation errors and computational efficiency of...
