High-order Eulerian incompressible smoothed particle hydrodynamics with transition to Lagrangian free-surface motion
High-order Eulerian incompressible smoothed particle hydrodynamics with transition to Lagrangian free-surface motion
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DOI：
10.1016/j.jcp.2016.08.047
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发表时间：
2016-12-01
影响因子：
4.1
通讯作者：
Stansby, P. K.
中科院分区：
文献类型：
--
作者：
Lind, S. J.;Stansby, P. K.
不可压缩的光滑粒子流体动力学（ISPH）方法推导出欧拉形式的高阶平滑内核，以提供更高的精度范围内的稳态和瞬态内流。周期性瞬态流，特别是，表现出高阶收敛和精度接近，例如，光谱网格为基础的方法。通过新的高阶高斯核应用于规则的粒子分布，时间步进形式上达到二阶瞬态流的精度提高。欧拉方法可以很容易地扩展到模拟自由表面流动的合并从欧拉拉格朗日区域在一个拉格朗日-欧拉（ALE）的方式，并与周期波传播的演示。从长远来看，预计该方法将大大提高SPH方法的精度和效率，同时保留SPH在模拟自由表面和多相流方面的灵活性。(C)2016作者爱思唯尔公司出版这是CC BY许可下的开放获取文章。
The incompressible Smoothed Particle Hydrodynamics (ISPH) method is derived in Eulerian form with high-order smoothing kernels to provide increased accuracy for a range of steady and transient internal flows. Periodic transient flows, in particular, demonstrate high-order convergence and accuracies approaching, for example, spectral mesh-based methods. The improved accuracies are achieved through new high-order Gaussian kernels applied over regular particle distributions with time stepping formally up to 2nd order for transient flows. The Eulerian approach can be easily extended to model free surface flows by merging from Eulerian to Lagrangian regions in an Arbitrary-Lagrangian-Eulerian (ALE) fashion, and a demonstration with periodic wave propagation is presented. In the long term, it is envisaged that the method will greatly increase the accuracy and efficiency of SPH methods, while retaining the flexibility of SPH in modelling free surface and multiphase flows. (C) 2016 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license.