Publication Abstracts

Abramopoulos 1988

Abramopoulos, F., 1988: Generalized energy and potential enstrophy conserving finite difference schemes for the shallow water equations. Mon. Weather Rev., 116, 650-662, doi:10.1175/1520-0493(1988)116<0650:GEAPEC>2.0.CO;2.

The conditions under which finite difference schemes for the shallow water equations can conserve both total energy and potential enstrophy are considered. A method of deriving such schemes using operator formalism is developed. Several such schemes are derived for the A-, B- and C-grids. The derived schemes include second-order schemes and pseudo-fourth order schemes. The simplest B-grid pseudo-fourth-order schemes are presented.

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BibTeX Citation

@article{ab03000u,
  author={Abramopoulos, F.},
  title={Generalized energy and potential enstrophy conserving finite difference schemes for the shallow water equations},
  year={1988},
  journal={Mon. Weather Rev.},
  volume={116},
  pages={650--662},
  doi={10.1175/1520-0493(1988)116%3C0650%3AGEAPEC%3E2.0.CO;2},
}

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RIS Citation

TY  - JOUR
ID  - ab03000u
AU  - Abramopoulos, F.
PY  - 1988
TI  - Generalized energy and potential enstrophy conserving finite difference schemes for the shallow water equations
JA  - Mon. Weather Rev.
VL  - 116
SP  - 650
EP  - 662
DO  - 10.1175/1520-0493(1988)116%3C0650%3AGEAPEC%3E2.0.CO;2
ER  -

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