Publication Abstracts

Abramopoulos 1991

Abramopoulos, F., 1991: A new fourth-order enstrophy and energy conserving scheme. Mon. Weather Rev., 119, 128-133, doi:10.1175/1520-0493(1991)119<0128:ANFOEA>2.0.CO;2.

A new pseudo-fourth-order finite-difference scheme for the shallow-water and primitive equations is derived. This scheme is a C-grid scheme that conserves energy and conserves enstrophy in the nondivergent limit. The accuracy of the scheme is second order, but in the nondivergent limit it has fourth-order accuracy. In the nondivergent limit, the scheme reduces to Arakawa's fourth-order Jacobian scheme for the vorticity equation for two-dimensional incompressible flow. Model runs with the shallow-water equations are discussed.

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BibTeX Citation

@article{ab01000b,
  author={Abramopoulos, F.},
  title={A new fourth-order enstrophy and energy conserving scheme},
  year={1991},
  journal={Monthly Weather Review},
  volume={119},
  pages={128--133},
  doi={10.1175/1520-0493(1991)119%3C0128%3AANFOEA%3E2.0.CO;2},
}

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RIS Citation

TY  - JOUR
ID  - ab01000b
AU  - Abramopoulos, F.
PY  - 1991
TI  - A new fourth-order enstrophy and energy conserving scheme
JA  - Mon. Weather Rev.
JO  - Monthly Weather Review
VL  - 119
SP  - 128
EP  - 133
DO  - 10.1175/1520-0493(1991)119%3C0128%3AANFOEA%3E2.0.CO;2
ER  -

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