Improved Singular Boundary Method for Various Infinite-domainWave Applications
This paper applies the improved formulation of the recent singular boundary method to infinite-domain wave problems. The SBM is mathematically simple, easy-to-program, meshless and introduces the concept of source intensity factors to eliminate the singularity of the fundamental solutions. In this study, we first derives the source intensity factors of exterior Helmholtz equation by means of the source intensity factors of exterior Laplace equation due to the same order of the singularities between the fundamental solution of Laplace and Helmholtz equations. The source intensity factors of exterior Laplace equation can be determined using the analytical-numerical technique proposed by Chen and Gu 1. Numerical illustrations demonstrate efficiency and accuracy of the present scheme on four benchmark infinite-domain wave examples.
singular boundary method fast fourier technique Burton-Miller formulation focusing effect near trapped phenomenon
Z. J. Fu W. Chen J. Lin
College of Harbour, Coastal and Offshore Engineering, Hohai University, Nanjing, 210098, P.R.China College of Mechanics and Materials, Hohai University, Nanjing, 210098, P.R. China
国际会议
长沙
英文
1-9
2012-05-18（万方平台首次上网日期，不代表论文的发表时间）