An advanced study on discretization-error-based adaptivity in Smoothed Particle Hydrodynamics
An advanced study on discretization-error-based adaptivity in Smoothed Particle Hydrodynamics
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DOI：
10.1016/j.compfluid.2019.104388
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发表时间：
2020-02
影响因子：
2.8
通讯作者：
F. Spreng;R. Vacondio;P. Eberhard;John R. Williams
中科院分区：
文献类型：
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作者：
F. Spreng;R. Vacondio;P. Eberhard;John R. Williams
这一贡献涉及一种新的，纯粹的方法策略，使自动调整平滑粒子流体动力学（SPH）的局部空间分辨率。它是建立在SPH插值的精度与零阶和一阶矩有关的事实上。从这方面的知识，SPH空间离散化误差的一个合适的措施已经得出。使用这种措施作为一个自适应标准，允许动态调整的局部分辨率，在这样一种方式，在模型域的空间离散化误差的均匀分布是实现。本文证明了这一点。为此，建议的自适应性标准的理论基础进行了讨论。之后，它的适用性SPH流体和固体模拟进行了彻底检查。
This contribution is concerned with a novel, purely methodological strategy enabling to automatically adjust the local spatial resolution in Smoothed Particle Hydrodynamics (SPH). It is built upon the fact that the accuracy of the SPH interpolation is related to zeroth- and first-order moments. Ensuing from this knowledge, a suitable measure of the SPH spatial discretization error has been derived. Using this measure as an adaptivity criterion allows to dynamically adjust the local resolution in such a way that a uniform distribution of the spatial discretization error over the model domain is achieved. This is demonstrated in the present paper. To that end, the theoretical foundation of the proposed adaptivity criterion is discussed first. After that, its applicability to both SPH fluid and solid simulations is thoroughly examined.