Model of the Lagrangian Particle Transport in a Quasi-Two-Phase Ocean – Ice Medium in a Parallel Ocean Dynamics Model

S. V. Semin1, 2, ✉, L. Yu. Kalnitskii1, K. V. Ushakov1, R. A. Ibrayev3, 1

1 Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russian Federation

2 Nuclear Safety Institute, Russian Academy of Sciences, Moscow, Russian Federation

3 Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russian Federation

✉ e-mail: svsemin@unistemlab.com

Abstract

Purpose. The purpose of the study is to develop the model of impurity transport in the ocean – sea ice system based on the Lagrangian approach.

Methods and Results. The Lagrangian transport of particles is considered in the approximation of a quasi-two-phase ocean – ice medium (particles are subject to the ice formation and melting processes, but actually remain in the ocean model). For the first time, the Lagrangian model over an arbitrary computational grid taking into account the quadratic correction of turbulent diffusion is described in detail. A synchronous model for the Lagrangian transport and the ocean – sea ice model (INMIO – CICE5.1) is constructed. The test calculations of particle transport in the field of a static vortex in the Cartesian and spherical coordinate systems demonstrate the correctness of the presented method. The results of the experiment on particle cloud transport in the Laptev Sea have shown both the fundamental possibilities of using the approach to solve applied problems and a good scalability of the model’s parallel implementation for a large (up to 106) number of particles.

Conclusions. The model developed on the basis of the Eulerian and Lagrangian approaches, makes it possible to solve comprehensively the problems related to water circulation and spread of impurities of various types (radioactive and stable isotopes, soluble and insoluble elements of anthropogenic and natural origin, etc.) and, consequently, to assess their impact on the environment.

Keywords

computer modeling, Lagrangian transport, ocean dynamics model, ocean – ice model, two-phase medium, turbulent mixing, parallel calculations

Acknowledgements

The work was conducted at the Nuclear Safety Institute, RAS, with financial support from the Russian Science Foundation (grant No. 20-19-00615, sections 2-5), and at the Shirshov Institute of Oceanology, RAS, under state assignment theme FMWE-2024-0017 (section 1). Computational resources were provided by the Interdepartmental Supercomputer Center, RAS.

Original russian text

Original Russian Text © The Authors, 2025, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 41, Iss. 3, pp. 358–377 (2025)

For citation

Semin, S.V., Kalnitskii, L.Yu., Ushakov, K.V. and Ibrayev, R.A., 2025. Model of the Lagrangian Particle Transport in a Quasi-Two-Phase Ocean – Ice Medium in a Parallel Ocean Dynamics Model. Physical Oceanography, 32(3), pp. 372-391.

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