TY - EJOU
AU - Liqi, Liu
AU - Haitao, Wang
TI - A RIM-based Time-domain Boundary Element Method for Three-Dimensional Non-homogeneousWave Propagations
T2 - Computer Modeling in Engineering \& Sciences
PY - 2015
VL - 109-110
IS - 4
SN - 1526-1506
AB - This paper presents a three-dimensional (3-D) boundary element method (BEM) scheme based on the Radial Integration Method (RIM) for wave propagation analysis of continuously non-homogeneous problems. The Kelvin fundamental solutions are adopted to derive the boundary-domain integral equation (BDIE). The RIM proposed by Gao (Engineering Analysis with Boundary Elements 2002; 26(10):905-916) is implemented to treat the domain integrals in the BDIE so that only boundary discretization is required. After boundary discretization, a set of second-order ordinary differential equations with respect to time variable are derived, which are solved using the Wilson-q method. Main advantages of the proposed method are that 1) it can treat wave propagations in non-homogeneous domains with only boundary mesh required, and that 2) coefficient matrices arising from the BEM are evaluated and stored only once so that solving large-scale problems with huge time steps is possible. In the numerical examples, the present method is tested in terms of accuracy, capacity to treat non-homogeneous problems and large-scale potentials.
KW - Boundary element method
KW - Radial integration method
KW - Time domain
KW - Non-homogeneous problems
KW - Wave propagation
DO - 10.3970/cmes.2015.109.303