Algorithms on time-domain Green function integrated on a cylindrical surface
The Green function method has been widely applied to solve hydrodynamic problems.Both frequency-domain Green function and time-domain Green function, which satisfy not only the governing equation but also the free surface boundary condition, being complex in formulations and numerical evaluations, much efforts have then been made to their computations.Present study focuses on the time-domain Green function which is highly oscillatory and needed in boundary element methods.Integrals involving time-domain Green funetion and Fourier-Laguerre basis functions integrated on a cylindrical surface are considered.These integrals are derived from a multi-domain method where velocity potentials and corresponding normal derivatives are expanded by Fourier series along circumference and Laguerre functions in vertical direction on a deep cylindrical surface.Time-domain Green function itself is not explicitly computed but its integration needs to be evaluated efficiently and accurately.The multi-fold integrals are analytically integrated and reduced to single ones with respect to wavenumber.To evaluate the wavenumber integrals, contour integrals are introduced in detail and numerical results are given in this paper.
Time-domain Green function Fourier-Laguerre expansions Highly oscillatory integrals Contour integrals
LI Rui-peng CHOI Y.M. CHEN Xiao-bo DUAN Wen-yang
Harbin Engineering University, Harbin, China Ecole Centrale de Nantes, Nantes, France Harbin Engineering University, Harbin, China;Bureau Veritas, Paris, France
国内会议
合肥
英文
275-283
2019-08-16（万方平台首次上网日期，不代表论文的发表时间）