An accurate and robust axisymmetric SPH method based on Riemann solver with applications in ocean engineering
An accurate and robust axisymmetric SPH method based on Riemann solver with applications in ocean engineering
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DOI：
10.1016/j.oceaneng.2021.110369
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发表时间：
2022-01
影响因子：
5
通讯作者：
Xiang-Li Fang;A. Colagrossi;Ping-Ping Wang-Ping;A. Zhang
中科院分区：
文献类型：
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作者：
Xiang-Li Fang;A. Colagrossi;Ping-Ping Wang-Ping;A. Zhang
通过将Riemann求解器引入到轴对称SPH的框架中，发展了一种精确和稳健的轴对称SPH方法。在轴对称Riemann SPH格式中嵌入了带有MUSCL重构的PVRS Riemann解算器，以减少由Riemann解算器固有的数值粘性引起的数值耗散。此外，为了保持粒子分布的均匀性，本文还采用了体积自适应算法和粒子移位技术。目前的轴对称Riemann SPH方法的优点是它可以考虑空气的真实可压缩性，这使得在模拟强可压缩流动时有更大的稳定时间步长。通过Sod激波管试验、Sedov点爆炸试验和爆炸波问题试验三个基准试验，验证了本文提出的轴对称Riemann SPH方法的准确性。然后将该方法应用于海洋工程中的一些实际问题的模拟，包括水下爆炸的激波传播、球体的入水和振荡气泡对的合并。
The present work develops an accurate and robust axisymmetric SPH method by introducing the Riemann solver into the framework of axisymmetric SPH. To reduce numerical dissipations caused by the intrinsic numerical viscosity of the Riemann solver, PVRS Riemann solver with MUSCL reconstruction is embedded into the scheme of the axisymmetric Riemann SPH. In addition, in order to maintain the uniformity of particle distributions, the volume adaptive scheme and the particle shifting technique are applied in this work. The advantage of the present axisymmetric Riemann SPH method is that it can consider the real compressibility of the air, which allows a larger stable time step in the simulation of the strongly-compressible flows. Through the three benchmark tests, including the Sod shock tube test, the Sedov point explosion test and the blast wave problem test, the accuracy of the present axisymmetric Riemann SPH method is verified. Then this method is applied to the simulations of some practical issues in ocean engineering, including the shockwave propagation of the underwater explosion, the water entry of the sphere and the coalescence of an oscillating bubble pair.