Isogeometric dual reciprocity BEM for solving time-domain acoustic wave problems.

In this paper, an isogeometric dual reciprocity boundary element method (IG-DRBEM) is proposed for the time-domain acoustic wave problem in 3D infinite domain. The fundamental solution of the potential problem is used to establish the boundary-domain integral equation, which avoids the problem of solving the coefficient matrix repeatedly at different times. On the one hand, in order to maintain the dimensionality reduction advantages of the boundary element method, the classical dual reciprocity method is used to transform the domain integral into a boundary integral. On the other hand, for purpose of satisfying the boundary conditions at infinite distance accurately, a reliable integral convergence criterion is established by adopting the approximate variation coefficient. Furthermore, the effects of different approximation functions, variation coefficients, time steps, number of interior points and elements on the results are discussed in detail by several typical examples. Numerical results show that the proposed method has high accuracy and good stability even when analyzing geometrically complex dolphin models. • IGABEM for solving acoustic wave in time domain is proposed for the first time. • The coefficient matrix formed by the boundary integral equation only requires to be calculated once. • The adaptive expansion basis function satisfying the integral regularization condition is proposed. • The multi-patch dolphin model is solved and a stable solution is obtained. [ABSTRACT FROM AUTHOR]