On Forward-in-Time Differencing for Fluids: Stopping Criteria for Iterative Solutions of Anelastic Pressure Equations
On Forward-in-Time Differencing for Fluids: Stopping Criteria for Iterative Solutions of Anelastic Pressure Equations
复制标题
流体的时前差分：滞弹性压力方程迭代解的停止准则
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
L. Margolin
中科院分区：
文献类型：
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作者：
P. Smolarkiewicz;V. Grubišić;L. Margolin
在这份说明中，作者解决的实际问题，选择适当的停止准则迭代解的椭圆压力方程产生的非振荡，向前的时间欧拉和半拉格朗日滞弹性流体模型。通过对中性分层Boussinesq流体中二维热对流的简单算例，表明：（a）收敛到机器精度对模型的整体精度和稳定性来说是不必要的，并对模型的整体效率产生不利影响;以及（B）与欧拉通量形式模型相比，半拉格朗日模型算法允许相当自由的停止准则，除非后者是根据场扰动来公式化的。
In this note, the authors address the practical issue of selecting appropriate stopping criteria for iterative solutions to the elliptic pressure equation arising in nonoscillatory, forward-in-time Eulerian and semi-Lagrangian anelastic fluid models. Using the simple computational example of 2D thermal convection in a neutrally stratified Boussinesq fluid, it is shown that (a) converging to the machine precision is not necessary for the overall accuracy and stability of the model, and adversely affects the overall model efficiency; and (b) the semi-Lagrangian model algorithm admits fairly liberal stopping criteria compared to the Eulerian flux-form model, unless the latter is formulated in terms of field perturbations.