On the Rotating Navier-Stokes Equations with Mixed Boundary Conditions 被引量：2

On the Rotating Navier-Stokes Equations with Mixed Boundary Conditions

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摘要 The stationary and nonstationary rotating Navier-Stokes equations with mixed boundary conditions are investigated in this paper. The existence and uniqueness of the solutions are obtained by the Galerkin approximation method. Next, θ-scheme of operator splitting algorithm is applied to rotating Navier-Stokes equations and two subproblems are derived. Finally, the computational algorithms for these subproblems are provided. The stationary and nonstationary rotating Navier-Stokes equations with mixed boundary conditions are investigated in this paper. The existence and uniqueness of the solutions are obtained by the Galerkin approximation method. Next, θ-scheme of operator splitting algorithm is applied to rotating Navier-Stokes equations and two subproblems are derived. Finally, the computational algorithms for these subproblems are provided.

作者 Kai Tai LI Rong AN

机构地区 College of Science

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第4期577-598,共22页 数学学报（英文版）

基金 the National Nature Science Foundation of China (Grants No.50306019,No.10571142,No.10471110 and No.10471109)

关键词 rotating Navier-Stokes equations mixed boundary conditions Uzawa Algorithm conju- gate gradient algorithm least-square method rotating Navier-Stokes equations, mixed boundary conditions, Uzawa Algorithm, conju- gate gradient algorithm, least-square method

分类号 O151 [理学—基础数学]

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