Properties of Adjoint Model and Adjoint Sensitivity under Fully-Nonlinear Internal Waves


Fig. 1. A snapshot of MITgcm ISW modelling output on Australian North West Shelf (around 116.4°E, 19.5°N). From the top, left panels show time-series of surface elevation, time-series of temperature profiles at RPS mooring, and a snapshot of a temperature cross-section along B-B’ line in right panel. Right panel shows a snapshot of temperature at 60 m below mean sea level. Abbreviations are NRA: North Rankin platform by Woodside Energy Ltd., and PIL100: Pilbara 100-m mooring by Australian Integrated Marine Observing System (IMOS). Note the different temperature scales for left and right panels. Image shown by courtesy of RPS MetOcean. © 2016 RPS MetOcean Pty Ltd. Click image to see the movie (1.5MB, not for small screen).


Introduction

The Australian North West Shelf (NSW) is known for large-amplitude internal tides and internal solitary-like waves (ISWs, or internal solitons)1),3). Since strong currents induced by ISWs are an important factor in structural design and operation for the Australian oil and gas industry, there has been strong interests in 3D ISW modelling. When I was at CSIRO, RPS MetOcean approached me to collaborate on testing the feasibility of 3D ISW modelling for engineering purposes.

Methods

We used MITgcm2) for our 3D ISW modelling. We made our model configuration as realistic as possible, and used realistic topography, stratification, and tidal forcing with full non-hydrostatic and Coriolis effects.

Results

The modelled ISWs (Fig. 1) were consistent with our understanding from previous studies and the mooring observation by RPS MetOcean in some aspects. For example,

  • The ISWs are generated by the steepening of internal tides excited around ~200 m depth;
  • The ISWs propagate toward SSE-SE on the rear-face of internal tides; and

However, there were other aspects that were not modelled well. For example, the modelled amplitudes were considerably smaller than the observations. This deficiency appeared to be particular in shallow water, because our MITgcm ISW modelling in the Andaman Sea (deep water) did not appear to show such deficiency.

Concluding remarks

This study was a short research project (~half a year in total) to confirm the feasibility of 3D ISW modelling on a continental shelf. Since then, I have improved the modelling methodology to apply 3D ISW modelling for engineering purposes.


Acknowledgements

This modelling project was funded by Research Connections Grant from Australian Department of Industry, Innovation, and Science, RPS MetOcean Pty Ltd., and CSIRO. I thank Steve Buchan, Chris Fandry, and Piers Larcombe for discussion on engineering relevance of internal solitary-like waves.

References
  1. Holloway, P. E. 1987. Internal hydraulic jumps and solitons at a shelf break region on the Australian North West Shelf. Journal of Geophysical Research - Oceans, 92: 5405-5416.
  2. Marshall, J., A. Adcroft, C. Hill, L. Perelman, and C. Heisey. 1997. A finite-volume, incompressible Navier-Stokes model for studies of the ocean on parallel computers. Journal of Geophysical Research - Oceans, 102: 5753–5766.
  3. Smyth, N. F., and P. E. Holloway. 1988. Hydraulic jump and undular bore formation on a shelf break. Journal of Physical Oceanography, 18: 947-962.