Solving 2-D Slamming Problems by an Improved Higher-Order Moving Particle Semi-Implicit Method
Solving 2-D Slamming Problems by an Improved Higher-Order Moving Particle Semi-Implicit Method
复制标题
通过改进的高阶运动粒子半隐式方法解决二维撞击问题
DOI：
10.5957/josr.10190061
复制
发表时间：
2020
影响因子：
1.4
通讯作者：
W. Qiu
中科院分区：
文献类型：
--
作者：
Ruosi Zha;H. Peng;W. Qiu
进一步开发了高阶运动粒子半隐式（MPS）方法来解决二维进水问题。为了克服原始MPS方法中的不一致问题，进行了压力梯度校正，以保证梯度的一阶一致性。利用核函数的导数修改校正矩阵。还应用了粒子移动技术来提高数值稳定性。对倾斜角为 0°、10° 和 20° 的刚性楔块以及两个刚性船体的进水进行了验证研究。对域大小、粒子间距和时间步长进行收敛研究。提出了一种粒子收敛指数法来评估改进MPS方法中的数值不确定性。计算了由于空间离散化导致的数值解的不确定性。本方法预测的冲击压力和力与实验数据吻合良好。
A higher-order moving particle semi-implicit (MPS) method was further developed to solve 2-D water entry problems. To overcome the inconsistency in the original MPS methods, a pressure gradient correction was implemented to guarantee the first-order consistency of the gradient. The corrective matrix was modified by using the derivative of the kernel function. A particle shifting technique was also applied to improve the numerical stability. Validation studies were carried out for water entry of a rigid wedge with the tilting angles of 0º, 10°, and 20º, and two rigid ship sections. Convergence studies were conducted on domain size, particle spacing, and time step. A particle convergence index method was proposed to evaluate numerical uncertainties in the improved MPS method. Uncertainties in numerical solutions due to spatial discretization were calculated. The predicted impact pressures and forces by the present method are in good agreement with experimental data.