Articles | Volume 16, issue 18
https://doi.org/10.5194/gmd-16-5339-2023
https://doi.org/10.5194/gmd-16-5339-2023
Development and technical paper
 | 
19 Sep 2023
Development and technical paper |  | 19 Sep 2023

A comparison of Eulerian and Lagrangian methods for vertical particle transport in the water column

Tor Nordam, Ruben Kristiansen, Raymond Nepstad, Erik van Sebille, and Andy M. Booth

Related authors

Handling discontinuities in numerical ODE methods for Lagrangian oceanography
Jenny Margareta Mørk, Tor Nordam, and Siren Rühs
EGUsphere, https://doi.org/10.5194/egusphere-2025-2109,https://doi.org/10.5194/egusphere-2025-2109, 2025
This preprint is open for discussion and under review for Geoscientific Model Development (GMD).
Short summary
Numerical integrators for Lagrangian oceanography
Tor Nordam and Rodrigo Duran
Geosci. Model Dev., 13, 5935–5957, https://doi.org/10.5194/gmd-13-5935-2020,https://doi.org/10.5194/gmd-13-5935-2020, 2020
Short summary
The effect of vertical mixing on the horizontal drift of oil spills
Johannes Röhrs, Knut-Frode Dagestad, Helene Asbjørnsen, Tor Nordam, Jørgen Skancke, Cathleen E. Jones, and Camilla Brekke
Ocean Sci., 14, 1581–1601, https://doi.org/10.5194/os-14-1581-2018,https://doi.org/10.5194/os-14-1581-2018, 2018
Short summary

Related subject area

Numerical methods
Stabilized two-phase material point method for hydromechanical coupling problems in solid–fluid porous media
Xiong Tang, Wei Liu, Siming He, Lei Zhu, Michel Jaboyedoff, Huanhuan Zhang, Yuqing Sun, and Zenan Huo
Geosci. Model Dev., 18, 4743–4758, https://doi.org/10.5194/gmd-18-4743-2025,https://doi.org/10.5194/gmd-18-4743-2025, 2025
Short summary
asQ: parallel-in-time finite element simulations using ParaDiag for geoscientific models and beyond
Joshua Hope-Collins, Abdalaziz Hamdan, Werner Bauer, Lawrence Mitchell, and Colin Cotter
Geosci. Model Dev., 18, 4535–4569, https://doi.org/10.5194/gmd-18-4535-2025,https://doi.org/10.5194/gmd-18-4535-2025, 2025
Short summary
Optimized step size control within the Rosenbrock solvers for stiff chemical ordinary differential equation systems in KPP version 2.2.3_rs4
Raphael Dreger, Timo Kirfel, Andrea Pozzer, Simon Rosanka, Rolf Sander, and Domenico Taraborrelli
Geosci. Model Dev., 18, 4273–4291, https://doi.org/10.5194/gmd-18-4273-2025,https://doi.org/10.5194/gmd-18-4273-2025, 2025
Short summary
Potential-based thermodynamics with consistent conservative cascade transport for implicit large eddy simulation: PTerodaC3TILES version 1.0
John Thuburn
Geosci. Model Dev., 18, 3331–3357, https://doi.org/10.5194/gmd-18-3331-2025,https://doi.org/10.5194/gmd-18-3331-2025, 2025
Short summary
Positive matrix factorization of large real-time atmospheric mass spectrometry datasets using error-weighted randomized hierarchical alternating least squares
Benjamin C. Sapper, Sean Youn, Daven K. Henze, Manjula Canagaratna, Harald Stark, and Jose L. Jimenez
Geosci. Model Dev., 18, 2891–2919, https://doi.org/10.5194/gmd-18-2891-2025,https://doi.org/10.5194/gmd-18-2891-2025, 2025
Short summary

Cited articles

Abuhegazy, M., Talaat, K., Anderoglu, O., and Poroseva, S. V.: Numerical investigation of aerosol transport in a classroom with relevance to COVID-19, Phys. Fluids, 32, 103311, https://doi.org/10.1063/5.0029118, 2020. a
Benson, D. A., Aquino, T., Bolster, D., Engdahl, N., Henri, C. V., and Fernandez-Garcia, D.: A comparison of Eulerian and Lagrangian transport and non-linear reaction algorithms, Adv. Water Resour., 99, 15–37, https://doi.org/10.1016/j.advwatres.2016.11.003, 2017. a
Billingsley, P.: Probability and measure, John Wiley & Sons, New York Chichester Brisbane Toronto, ISBN 0471031739, 1979. a, b
Craig, P. D. and Banner, M. L.: Modeling wave-enhanced turbulence in the ocean surface layer, J. Phys. Oceanogr., 24, 2546–2559, https://doi.org/10.1175/1520-0485(1994)024<2546:MWETIT>2.0.CO;2, 1994. a
Cui, F., Boufadel, M. C., Geng, X., Gao, F., Zhao, L., King, T., and Lee, K.: Oil Droplets Transport Under a Deep-Water Plunging Breaker: Impact of Droplet Inertia, J. Geophys. Res.-Oceans, 123, 9082–9100, https://doi.org/10.1029/2018JC014495, 2018. a
Download
Short summary
We describe and compare two common methods, Eulerian and Lagrangian models, used to simulate the vertical transport of material in the ocean. They both solve the same transport problems but use different approaches for representing the underlying equations on the computer. The main focus of our study is on the numerical accuracy of the two approaches. Our results should be useful for other researchers creating or using these types of transport models.
Share