A finite-volume, incompressible Navier Stokes model for studies of the ocean on parallel computers

@article{Marshall1997AFI,
  title={A finite-volume, incompressible Navier Stokes model for studies of the ocean on parallel computers},
  author={John Marshall and Alistair J. Adcroft and Christopher Hill and Lev T. Perelman and Curtis W. Heisey},
  journal={Journal of Geophysical Research},
  year={1997},
  volume={102},
  pages={5753-5766}
}
The numerical implementation of an ocean model based on the incompressible Navier Stokes equations which is designed for studies of the ocean circulation on horizontal scales less than the depth of the ocean right up to global scale is described. A "pressure correction" method is used which is solved as a Poisson equation for the pressure field with Neumann boundary conditions in a geometry as complicated as that of the ocean basins. A major objective of the study is to make this inversion, and… 

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References

SHOWING 1-10 OF 25 REFERENCES

Hydrostatic, quasi‐hydrostatic, and nonhydrostatic ocean modeling

Ocean models based on consistent hydrostatic, quasi-hydrostatic, and nonhydrostatic equation sets are formulated and discussed. The quasi-hydrostatic and nonhydrostatic sets are more accurate than

On the Pressure Gradient Force over Steep Topography in Sigma Coordinate Ocean Models

Abstract The error in computing the pressure gradient force near steep topography using terms following (σ) coordinates is investigated in an ocean model using the family of vertical differencing

A Nonhydrostatic Mesoscale Ocean Model. Part I: Well-Posedness and Scaling

Abstract The incompressibility and hydrostatic approximations that are traditionally used in large-scale oceanography to make the hydrodynamic equations more amenable to numerical integration result

A nonhydrostatic mesoscale ocean model. Part II: Numerical implementation

Abstract The nonhydrostatic model with a free surface is numerically implemented in boundary-fitted curvilinear coordinates to model the mesoscale circulation in an ocean basin with natural

A comparison of second‐order and fourth‐order pressure gradient algorithms in a σ‐co‐ordinate ocean model

In stratified three-dimensional models the use of a boundary-fitted vertical co-ordinate is known to produce errors in the horizontal pressure gradient calculation near steep topography. The error is

A Wind-Driven Isopycnic Coordinate Model of the North and Equatorial Atlantic Ocean 1

Numerical approximations to the dynamic equations are given which allow basin-size ocean circulation models formulated in isopycnic coordinates to accommodate variable bottom topography and irregular

Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface

A new technique is described for the numerical investigation of the time‐dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free. The full