A NEW FOURTH-ORDER ENSTROPHY AND ENERGY CONSERVING SCHEME

被引：0
|
作者：
ABRAMOPOULOS, F
机构：
来源：
MONTHLY WEATHER REVIEW | 1991年 / 119卷 / 01期
关键词：
D O I：
10.1175/1520-0493(1991)119<0128:ANFOEA>2.0.CO;2
中图分类号：
P4 [大气科学（气象学）];
学科分类号：
0706 ; 070601 ;
摘要：
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.
引用
收藏
页码：128 / 133
页数：6
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