Two-dimensional time-domain boundary element method with impedance boundary condition for unsteady acoustic coupling problems

This study develops a two-dimensional time-domain boundary element method to address the acoustic coupling in vortex-sound interaction phenomena, specifically for geometries with impedance boundary conditions. To ensure compatibility with the two-dimensional time-domain boundary integral equation, time and spatial basis functions were used to discretize the improved time-domain admittance boundary condition. The proposed method was validated through the construction of characteristic matrices and numerical results from several typical cases. It demonstrates high accuracy in both internal and external scattering problems, making it well-suited for studies on acoustic coupling.