Lagrangian radial basis function-based particle hydrodynamics method and its application for viscous flows
Lagrangian radial basis function-based particle hydrodynamics method and its application for viscous flows
复制标题
基于拉格朗日径向基函数的粒子流体动力学方法及其在粘性流中的应用
DOI：
10.1002/nme.6607
复制
发表时间：
2021
影响因子：
2.9
通讯作者：
Huang Can
中科院分区：
文献类型：
--
作者：
Liang Xu;Huang Decai;Wang Tao;Liu Zhen;Zhu Ronghua;Wang Lizhong;Huang Can
A Lagrangian radial basis function‐based particle hydrodynamics method (RBFPH) is proposed. In RBFPH method, the differential quadrature technique is combined with radial basis function (RBF) to obtain the meshless high‐dimensional derivative approximations for randomly distributed particles; a particular solution of RBF is chosen to ensure the positive definite of the interpolating matrix. Like the conventional RBF, RBFPH has the advantages of simple form, isotropy and high accuracy, and is suitable for numerical calculation. Moreover, all particles in RBFPH can move with the fluid, so RBFPH may conveniently compute complex flows with the moving boundary. A series of numerical examples are conducted to test the accuracy of RBFPH, and the results show the RBFPH has second‐order convergence, which shows its great advantage in terms of accuracy. The RBFPH is validated by its application to the simulations of Taylor–Green flow, lid driven shear cavity flows, stretching of a free‐surface circular fluid patch and flows around a cylinder. Excellent agreements with analytical solutions and reference results indicate that the proposed method has a promising application in simulating viscous flows with the moving boundary, large deformation, and free surface.
