The Numerical Accuracy of the Desingularized Boundary Integral Equation Method

被引:0
|
作者
Xu G. [1 ]
Chen J. [1 ]
Wang S. [1 ]
Liu Y. [1 ]
Zhu R. [1 ]
机构
[1] Jiangsu University of Science and Technology, Zhenjiang, 212003, Jiangsu
关键词
Boundary element method (BEM); Desingularized boundary integral equation method (DBIEM); Flow over sphere; Hydrodynamic;
D O I
10.16183/j.cnki.jsjtu.2018.07.016
中图分类号
学科分类号
摘要
Practice has proved that in the process of numerical analysis, the value of the tangential velocity on the boundary is inaccurate upon comparing the results thereof with frequency solutions by desingularized boundary integral equation method (DBIEM), especially at the place where the normal vector is changed rapidly. In this paper, the singularity of the traditional boundary element method, which is directly arranged in the center of the surface of the fluid computing domain, is moved outside the computational domain using the DBIEM. In order to analyze the accuracy of the DBIEM and validate the above conclusion, three-dimensional uniform flow over sphere has been simulated, and the numerical results are compared with the analytical solutions in the literature. It is found that the velocity accuracy of the flow field can be greatly improved on sudden changed surface shape. © 2018, Shanghai Jiao Tong University Press. All right reserved.
引用
收藏
页码:867 / 872
页数:5
相关论文
共 12 条
  • [1] Chen J., Duan W., Zhu X., Three dimensional Taylor expansion boundary element method and its numerical verification, Research and Development of Hydrodynamics, 28, 4, pp. 482-485, (2013)
  • [2] Duan W., Wang L., Chen J., Et al., Calculation of vertical two order wave force (moment) of submarines based on Taylor expansion boundary element method, Journal of Harbin Engineering University, 38, 1, pp. 8-12, (2017)
  • [3] Duan W., Chen J., Zhao B., Two order mean drift force calculation of deep water floating body based on Taylor expansion boundary element method, Journal of Harbin Engineering University, 36, 3, pp. 302-306, (2015)
  • [4] Duan W.Y., Chen J.K., Zhao B.B., Second-order Taylor expansion boundary element method for the second-order wave diffraction problem, Applied Ocean Research, 58, pp. 140-150, (2015)
  • [5] Beck R.F., Time-domain computations for floating bodies, Applied Ocean Research, 16, 5, pp. 267-282, (1994)
  • [6] Kim M.H., Celebi M.S., Kim D.J., Fully nonlinear interactions of waves with a three-dimensional body in uniform currents, Applied Ocean Research, 20, 5, pp. 309-321, (1998)
  • [7] Celebi M.S., Nonlinear transient wave-body interactions in steady uniform currents, Computer Methods in Applied Mechanics & Engineering, 190, 39, pp. 5149-5172, (2001)
  • [8] Zhang X.T., Khoo B.C., Lou J., Application of desingularized approach to water wave propagation over three-dimensional topography, Ocean Engineering, 34, 10, pp. 1449-1458, (2007)
  • [9] Xu G., Hamouda A.M.S., Khoo B.C., Numerical simulation of fully nonlinear sloshing waves in three-dimensional tank under random excitation, Ocean Systems Engineering, 1, 4, pp. 355-372, (2011)
  • [10] Wang L., Tang H., Wu Y., Simulation of wave-body interaction: A desingularized method coupled with acceleration potential, Journal of Fluids & Structures, 52, pp. 37-48, (2015)