Ocean forecasting in terrain-following coordinates: Formulation and skill assessment of the regional ocean modeling system. Systematic improvements in algorithmic design of regional ocean circulation models have led to significant enhancement in simulation ability across a wide range of space/time scales and marine system types. As an example, we briefly review the Regional Ocean Modeling System, a member of a general class of three-dimensional, free-surface, terrain-following numerical models. Noteworthy characteristics of the ROMS computational kernel include: consistent temporal averaging of the barotropic mode to guarantee both exact conservation and constancy preservation properties for tracers; redefined barotropic pressure-gradient terms to account for local variations in the density field; vertical interpolation performed using conservative parabolic splines; and higher-order, quasi-monotone advection algorithms. Examples of quantitative skill assessment are shown for a tidally driven estuary, an ice-covered high-latitude sea, a wind- and buoyancy-forced continental shelf, and a mid-latitude ocean basin. The combination of moderate-order spatial approximations, enhanced conservation properties, and quasi-monotone advection produces both more robust and accurate, and less diffusive, solutions than those produced in earlier terrain-following ocean models. Together with advanced methods of data assimilation and novel observing system technologies, these capabilities constitute the necessary ingredients for multi-purpose regional ocean prediction systems.

References in zbMATH (referenced in 35 articles , 1 standard article )

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  1. de Marez, Charly; Carton, Xavier: Interaction of an upwelling front with external vortices: impact on cross-shore particle exchange (2021)
  2. Grimes, Derek J.; Feddersen, Falk: The self-similar stratified inner-shelf response to transient rip-current-induced mixing (2021)
  3. Zhang, Yinglong J.: Assessment of subgrid method in a finite-volume model (2021)
  4. Ayouche, Adam; Carton, Xavier; Charria, Guillaume; Theettens, Sebastien; Ayoub, Nadia: Instabilities and vertical mixing in river plumes: application to the Bay of Biscay (2020)
  5. de Marez, Charly; Meunier, Thomas; Tedesco, Pauline; L’Hégaret, Pierre; Carton, Xavier: Vortex-wall interaction on the (\beta)-plane and the generation of deep submesoscale cyclones by internal Kelvin waves-current interactions (2020)
  6. Duran, Arnaud; Vila, Jean-Paul; Baraille, Rémy: Energy-stable staggered schemes for the shallow water equations (2020)
  7. Holm, Håvard H.; Brodtkorb, André R.; Broström, Göran; Christensen, Kai H.; Sætra, Martin L.: Evaluation of selected finite-difference and finite-volume approaches to rotational shallow-water flow (2020)
  8. Holm, Håvard H.; Sætra, Martin L.; Brodtkorb, André R.: Data assimilation for ocean drift trajectories using massive ensembles and GPUs (2020)
  9. Morvan, Mathieu; Carton, Xavier; L’Hégaret, Pierre; de Marez, Charly; Corréard, Stéphanie; Louazel, Stéphanie: On the dynamics of an idealised bottom density current overflowing in a semi-enclosed basin: mesoscale and submesoscale eddies generation (2020)
  10. Penney, Jared; Morel, Yves; Haynes, Peter; Auclair, Francis; Nguyen, Cyril: Diapycnal mixing of passive tracers by Kelvin-Helmholtz instabilities (2020)
  11. Demange, Jérémie; Debreu, Laurent; Marchesiello, Patrick; Lemarié, Florian; Blayo, Eric; Eldred, Christopher: Stability analysis of split-explicit free surface ocean models: implication of the depth-independent barotropic mode approximation (2019)
  12. Naghibi, S. Elnaz; Karabasov, Sergey A.; Jalali, Mir A.; Sadati, S. M. Hadi: Fast spectral solutions of the double-gyre problem in a turbulent flow regime (2019)
  13. Arcucci, R.; Carracciuolo, L.; Toumi, R.: Toward a preconditioned scalable 3DVAR for assimilating sea surface temperature collected into the Caspian Sea (2018)
  14. Sullivan, Peter P.; McWilliams, James C.: Frontogenesis and frontal arrest of a dense filament in the oceanic surface boundary layer (2018)
  15. van den Bremer, T. S.; Breivik, Ø.: Stokes drift (2018)
  16. Couderc, F.; Duran, A.; Vila, J.-P.: An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification (2017)
  17. Deng, Baoqing; Wang, Junye: Saturated-unsaturated groundwater modeling using 3D Richards equation with a coordinate transform of nonorthogonal grids (2017)
  18. Duran, Arnaud; Vila, Jean-Paul; Baraille, Rémy: Semi-implicit staggered mesh scheme for the multi-layer shallow water system (2017)
  19. Owen, N. E.; Challenor, P.; Menon, P. P.; Bennani, S.: Comparison of surrogate-based uncertainty quantification methods for computationally expensive simulators (2017)
  20. Conroy, Colton J.; Kubatko, Ethan J.: (hp) discontinuous Galerkin methods for the vertical extent of the water column in coastal settings part I: barotropic forcing (2016)

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