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