关键词: heating, wall turbulence, dissipation rate, scaling law, hierarchical structure model

Abstract: This paper presents a finite element method to solve the shallow water circulation problem numerically.Considering the Coriolis effect,bottom friction and eddy viscosity,the continuity equation and momentum equation are integrated vertically. Using Galerkin weighted residual method,the weak variational formulation is derived for the finite element analysis. The split-time method is applied for the numerical integration instead of iteration for nonlinear terms. Moreover,an artificial smooth approach is proposed to suppress the short wavelength noise.In order to save computer storage units,a densed storage scheme is set up,where all the zero elements in large scaled and sparse matrices are excluded.

Key words: heating, wall turbulence, dissipation rate, scaling law, hierarchical structure model