Abstract We proposed a predictor-corrector algorithm for the hourglass control in Lagrangian hydrodynamics. The main idea of the algorithm is utilizing the subzonal density variation as the indicator of the degree of hourglass distortion and the pseudo time evolution in the velocity field as the filter of the hourglass motion. The algorithm can be regarded as an enhancement of the existing hourglass control method, and it can be integrated into the Lagrangian hydrodynamics code easily. Benefit from the element-wise hourglass parameter variation in a wide range, the algorithm can reduce the spurious mesh distortion and produces high-quality mesh. Some benchmark problems demonstrate the efficiency and robustness of the proposed algorithm.

中文翻译：

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沙漏控制的预测校正算法

摘要 我们为拉格朗日流体力学中的沙漏控制提出了一种预测校正算法。该算法的主要思想是利用亚带密度变化作为沙漏畸变程度的指标，利用速度场中的伪时间演化作为沙漏运动的过滤器。该算法可以看作是现有沙漏控制方法的增强，并且可以很容易地集成到拉格朗日流体力学代码中。受益于大范围内的逐元素沙漏参数变化，该算法可以减少虚假网格失真并生成高质量的网格。一些基准问题证明了所提出算法的效率和鲁棒性。