On topography and geoid from 2‐D stagnant lid convection calculations
On topography and geoid from 2‐D stagnant lid convection calculations
复制标题
关于二维停滞盖对流计算的地形和大地水准面
DOI：
10.1029/2008gc002250
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发表时间：
2009
期刊：
影响因子：
3.7
通讯作者：
S. King
中科院分区：
文献类型：
--
作者：
S. King
比较了在具有Frank‐Kamenetskii和Arkriius粘度公式的停滞盖区域中的温度依赖性对流。当适当缩放时，两种粘度公式的流体的努塞尔数和均方根速度相似，但表面应力以及因此预测的动态地形和大地水准面显著不同。只要截止值是基础粘度的104倍，Arcadius粘度配方结果对高粘度极限下的粘度截止值不敏感。停滞盖对流矩阵的条件数使用的惩罚配方是小于惩罚数乘以粘度对比值（条件数的合理估计），解释为什么大粘度对比对流问题的惩罚方法同意与其他配方和解析解。最大和最小动态地形之间的大小差异可以用来限制行星体中停滞盖上的粘度对比的大小。
Temperature‐dependent convection in the stagnant lid regime with a Frank‐Kamenetskii and Arrhenius viscosity formulation are compared. When properly scaled, the Nusselt number and root‐mean‐square velocity of the fluid for the two viscosity formulations are similar but the surface stresses and hence predicted dynamic topography and geoid differ significantly. The Arrhenius viscosity formulation results are insensitive to a viscosity cutoff at the high viscosity limit as long as the cutoff is 104 times the basal viscosity. The condition number for stagnant lid convection matrices using a penalty formulation is smaller than the penalty number times viscosity contrast value (a reasonable estimate of the condition number), explaining why large viscosity contrast convection problems with the penalty method agree with other formulations and analytic solutions. The difference in magnitude between the maximum and minimum dynamic topography could be used to constrain the magnitude of the viscosity contrast across the stagnant lid in planetary bodies.