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Influence of advection in box models describing thermohaline circulation

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  • Neitzel, Leonie
  • Gehrig, Edeltraud

Abstract

The large-scale ocean circulation has a relevant impact on the Earth’s climate. It is determined by deep-water and surface water currents transporting both energy and mass around the globe. Variations in salinity and temperature affect the density of sea water which in turn leads to a driving force in the over-all dynamics. Model approaches on the basis of boxes for salinity and temperature in the various polar and equatorial regions allow realistic simulation of system dynamics while keeping the model complexity low. In this work we investigate the influence of density variations on the system dynamics and stability. Thereby we focus on density contributions initiated by advection processes within a box. A comparative study of selected box models reveals the dependence of the influence of this process on parameters and model approach.

Suggested Citation

  • Neitzel, Leonie & Gehrig, Edeltraud, 2022. "Influence of advection in box models describing thermohaline circulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 101-112.
    • Handle: RePEc:eee:matcom:v:202:y:2022:i:c:p:101-112
    DOI: 10.1016/j.matcom.2022.05.018
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    References listed on IDEAS

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    1. Jeffry Kusuma & Agustinus Ribal & Andi Galsan Mahie, 2018. "On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation," International Journal of Differential Equations, Hindawi, vol. 2018, pages 1-9, November.
    2. Joaquim Soler-Sagarra & Vivien Hakoun & Marco Dentz & Jesus Carrera, 2021. "The Multi-Advective Water Mixing Approach for Transport through Heterogeneous Media," Energies, MDPI, vol. 14(20), pages 1-18, October.
    3. Tesfay, Daniel & Wei, Pingyuan & Zheng, Yayun & Duan, Jinqiao & Kurths, Jürgen, 2020. "Transitions between metastable states in a simplified model for the thermohaline circulation under random fluctuations," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    4. Shineng Hu & Alexey V. Fedorov, 2019. "Indian Ocean warming can strengthen the Atlantic meridional overturning circulation," Nature Climate Change, Nature, vol. 9(10), pages 747-751, October.
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