1 Three - Dimensional Spherical Shell Convection at Infinite
نویسندگان
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 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 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
Three-dimensional spherical shell convection at infinite Prandtl number using the ‘cubed sphere’ method
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 Smolar...
متن کاملLow-degree mantle convection with strongly temperature- and depth-dependent viscosity in a three-dimensional spherical shell
A series of numerical simulations of thermal convection of Boussinesq fluid with infinite Prandtl number, with Rayleigh number 10, and with the strongly temperatureand depthdependent viscosity in a three-dimensional spherical shell is carried out to study the mantle convection of singleplate terrestrial planets like Venus or Mars without an Earth-like plate tectonics. The strongly temperature-d...
متن کاملApplication of the Yin-Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell
A new numerical finite difference code has been developed to solve a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell. A kind of the overset (Chimera) grid named “YinYang grid” is used for the spatial discretization. The grid naturally avoids the pole problems which are inevitable in the latitude-longitude grids. The code is applied to...
متن کاملA Three-dimensional Spherical Nonlinear Interface Dynamo
A fully three-dimensional, nonlinear, time-dependent spherical interface dynamo is investigated using a finite-element method based on the three-dimensional tetrahedralization of the spherical system. The spherical interface dynamo model consists of four zones: an electrically conducting and uniformly rotating core, a thin differentially rotating tachocline, a uniformly rotating turbulent conve...
متن کاملHydrothermal convection in moderately thin spherical shells.
Hydrothermal convection of pore water with a temperature-dependent viscosity within a permeable, internally heated, moderately thin spherical shell is investigated by both a perturbation analysis and a direct numerical simulation. The analysis and simulation are mainly focused on a thin spherical shell in that convective instabilities are characterized by the spherical harmonic degree l=6 with ...
متن کامل