A method for computing horizontal pressure‐gradient force in an oceanic model with a nonaligned vertical coordinate

By Alexander F. Shchepetkin, James C. McWilliams. 2003

847 citations recorded by the source corpus.

Subfields: Global and Planetary Change, Oceanography

View Paper: https://www.semanticscholar.org/paper/2ab87ee75784febbffd7d5466f704e422cc80c6a

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In Global and Planetary Change

In Oceanography

Citations in the corpus

The Regional Ocean Modeling System (ROMS) 4-dimensional variational data assimilation systems Part I - System overview and formulation (2011, background): “…is beyond the scope of this paper, however thorough descriptions of the numerical schemes, physical parameterizations, and open boundary condition options can be found in Shchepetkin and McWilliams (2003), Shchepetkin and McWilliams (2005), Marchesiello et al. (2001), and Haidvogel et al. (2008).”
SELFE: A semi-implicit Eulerian–Lagrangian finite-element model for cross-scale ocean circulation (2008, background): “Hydrostatic inconsistency can also be viewed as the result of evaluating pressures at a grid point effectively using extrapolation when steep bathymetric slope is present (Shchepetkin and McWilliams, 2003).”
Spurious diapycnal mixing in terrain-following coordinate models: The problem and a solution (2009, methodology): “In ROMS, the time-stepping algorithm is similar to the Leapfrog–Adams–Moulton III predictor–corrector (LF-AM3; Shchepetkin and McWilliams, 2005), which is stable for both advection and diffusion written at current time step.”
Ocean forecasting in terrain-following coordinates: Formulation and skill assessment of the Regional Ocean Modeling System (2008, methodology): “Shchepetkin and McWilliams describe the algorithms that comprise the ROMS computational kernel in [7,33,34].”
B‐preconditioned minimization algorithms for variational data assimilation with the dual formulation (2014, background): “Terrain-following vertical coordinates are employed allowing for greater vertical resolution in shallow water and regions with complex bathymetry (Marchesiello et al., 2001; Shchepetkin and McWilliams, 2003, 2005; Haidvogel et al., 2008).”
Tracking coherent structures in a regional ocean model with wavelet analysis: Application to Cape Basin eddies - art. no. C05043 (2007, methodology): “Although a numerical scheme associated with a specific equation of state limits errors in the computation of the horizontal pressure gradient [ Shchepetkin and McWilliams, 2003 ], the bathymetry field h must be filtered to Figure 1. Model domain and bathymetry (m).”
Drift, growth, and survival of larval Northeast Arctic cod with simple rules of behaviour (2007, methodology): “The numerical ocean model used in this study was the ROMS Version 2.0 (Ezer et al. 2002, Shchepetkin & McWilliams 2003, Shchepetkin & McWilliams 2005, available at www.myroms.org).”
Results from a three-dimensional, nested biological-physical model of the California Current System and comparisons with statistics from satellite imagery (2006, background): “0 (development is described by Song and Haidvogel [1994], Haidvogel and Beckmann [1999], Haidvogel et al.”
Energy conservation issues in sigma-coordinate free-surface ocean models (2008, background): “ Shchepetkin and McWilliams (2003) showed that this scheme is algebraically equivalent to (44) provided that the rectangular integration in (45) is replaced by a trapezoidal integration.”
Correction and commentary for "Ocean forecasting in terrain-following coordinates: Formulation and skill assessment of the regional ocean modeling system" by Haidvogel et al., J. Comp. Phys 227, pp 3595-3624 (2009, methodology): “A recent, more complete discussion of the design criteria for an oceanic model such as ROMS can be found in Shchepetkin and McWilliams (2008) [4].”