A second-order decoupled implicit/explicit method of the 3D primitive equations of ocean II: finite element spatial discretization

Abstract

SUMMARYA fully discrete second-order decoupled implicit/explicit method is proposed for solving 3D primitive equations of ocean in the case of Dirichlet boundary conditions on the side, where a second-order decoupled implicit/explicit scheme is used for time discretization, and a finite element method based on the P 1 .P 1 / P 1 P 1 .P 1 / elements for velocity, pressure and density is used for spatial discretization of these primitive equations. Optimal H KEY WORDS: primitive equations of ocean; optimal error estimates; P 1 .P 1 / P 1 P 1 .P 1 / finite element spaces; second-order decoupled implicit/explicit method