Three-dimensional spherical shell convection at infinite Prandtl number using the ‘cubed sphere’ method
نویسنده
چکیده
We present a new finite difference code for modeling three-dimensional thermal convection in a spherical shell using the “cubed sphere” method of Ronchi et al. [1]. The equation of motion is solved using a poloidal potential formulation for an iso-viscous, infinite Prandtl number fluid on a finite difference grid and advective transport is implemented using the 2nd-order MPDATA scheme of Smolarkiewicz [2]. Due to the high efficiency of multigrid acceleration, low memory requirements, and second-order accuracy of this model, we conclude that the cubed sphere method offers a great deal of potential for simulating complicated problems of fluid mechanics in spherical geometry.
منابع مشابه
1 Three - Dimensional Spherical Shell Convection at Infinite
We present a new finite difference code for modeling three-dimensional thermal convection in a spherical shell using the “cubed sphere” method of Ronchi et al. [1]. The equation of motion is solved using a poloidal potential formulation of the equation of motion for an iso-viscous, infinite Prandtl number fluid on a finite difference grid and advective transport is implemented using the 2-order...
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