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Three-dimensional numerical simulation of convection in giant planets: Effects of solid core size

机译：巨型行星对流的三维数值模拟：实心核尺寸的影响

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摘要

By solving the compressible hydrodynamic equations, the effects of solid core size on planetary winds are studied with a three-dimensional spherical spectral method. Four cases with solid core sizes x (core radius ratio) = 0, 0.1, 0.35 and 0.75 are discussed. A prograde equatorial jet and two adjacent retrograde jets are prominently produced in each model. The surface speed of the prograde equatorial jet increases as the solid core size increases from x = 0 to 0.35, then drops as x further increases to 0.75. Alternating zonal wind bands in the mid latitudes are produced only in the case where the convection zone is most shallow. The velocity fields are significantly controlled by the Taylor-Proudman theorem (in the sense that the mean zonal velocities do not change much along the angular velocity direction). Three-dimensional effects are essential for the dynamics, as both the meridional-zonal and radial-zonal components of the Reynolds stress play key roles in driving the equatorial jet. The solid core affects the flows through changing the spatial geometry inside the tangent cylinder. As a result, the tangent cylinder controls the width of the prograde equatorial jet when the core becomes sufficiently large.
机译：通过求解可压缩流体动力学方程，利用三维球面光谱方法研究了固体核尺寸对行星风的影响。讨论了四种实心铁心尺寸x（铁心半径比）= 0、0.1、0.35和0.75的情况。在每个模型中突出显示了一个前进赤道射流和两个相邻的逆行射流。前进赤道射流的表面速度随着实心核尺寸从x = 0增加到0.35而增加，然后随着x进一步增加到0.75而下降。仅在对流区最浅的情况下，才会在中纬度地区产生交替的纬向风带。速度场受泰勒-普鲁德曼定理（Taylor-Proudman定理）显着控制（在这个意义上，平均纬向速度沿角速度方向变化不大）。三维效应对于动力学至关重要，因为雷诺应力的子午-纬向和径向-纬向分量在驱动赤道射流中都起着关键作用。实心核通过改变切线圆柱体内的空间几何形状来影响流动。结果，当芯子变得足够大时，切线圆柱体控制前进赤道射流的宽度。

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  • 来源
    《Planetary and space science》 |2012年第1期|p.125-130|共6页
  • 作者

    Tao Cai; Kwing L. Chan;

  • 作者单位

    Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China;

    Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    giant planets; interior; zonal wind;

    机译：巨型行星;内部;纬向风;

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