A New Second-Order Finite-Difference form of Three-Dimensional Momentum Equations in the Anelastic System

[摘要] A new second-order finite-difference form of three-dimensional momentum equations in the anelastic system is proposed. This conserves total kinetic energy in the three-dimensional motion as well as total enstrophy in the two-dimensional motion. It can be applied to the equations expressed by the curved orthogonal coordinate and to the variable-grid model in the Cartesian coordinate system.

[学科分类] 大气科学