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VENM: An Algorithm to Accurately Calculate Neutral Slopes and Gradients.

Sjoerd Groeskamp1, Paul M Barker1, Trevor J McDougall1

  • 1School of Mathematics and Statistics University of New South Wales Sydney New South Wales Australia.

Journal of Advances in Modeling Earth Systems
|October 11, 2019
PubMed
Summary

A new method, VErtical Non-local Method (VENM), improves calculations of neutral diffusion in ocean models. VENM enhances accuracy for neutral slopes and tracer gradients, avoiding nonphysical results from traditional approaches.

Keywords:
algorithmsdata analysesmixing processesneutral directionnumerical modelingphysical oceanography

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Area of Science:

  • Oceanography
  • Fluid Dynamics
  • Numerical Modeling

Background:

  • Neutral diffusion is key for subgrid-scale tracer transport in ocean models.
  • Traditional neutral slope calculation is problematic in weakly stratified waters, leading to nonphysical results.
  • Existing regularization methods introduce arbitrary dependencies into tracer gradient calculations.

Purpose of the Study:

  • Introduce and validate the VErtical Non-local Method (VENM) for calculating neutral slopes and diffusion.
  • Improve the numerical accuracy and physical realism of neutral tracer gradient computations.
  • Provide a robust alternative to traditional methods for oceanographic modeling.

Main Methods:

  • Implemented VENM, a search algorithm that bypasses the need for ad hoc regularization.
  • Calculated neutral slopes, tracer gradients, and diffusive fluxes using VENM.
  • Compared VENM against a traditional method using objective neutrality conditions and transport rates.

Main Results:

  • VENM significantly improves the numerical accuracy of neutral slope and tracer gradient calculations.
  • The method avoids nonphysical dependencies often seen with traditional approaches.
  • VENM demonstrates superior physical and numerical accuracy compared to conventional techniques.

Conclusions:

  • VENM offers a more accurate and physically sound approach to calculating neutral diffusion.
  • This method eliminates the need for problematic ad hoc regularization.
  • VENM is recommended for future oceanographic studies involving neutral diffusion from observations and model simulations.