Poroelastodynamic Boundary Element Method in Time Domain: Numerical Aspects

seismic waves scattering in three-dimensional homogeneous media using time-domain boundary element method

it is well established that the seismic ground response of surface topographies may differ from those of free field motion during earthquakes. complex nature of seismic wave scattering by topographical structures can only be solved accurately and economically using advanced numerical methods under realistic conditions. among the numerical methods, the boundary element is a powerful numerical te...

Time Domain Boundary Element Method for Room Acoustics

Numerical Stability of the Finite Element Immersed Boundary Method

The immersed boundary method is both a mathematical formulation and a numerical method. In its continuous version it is a fully non-linearly coupled formulation for the study of fluid structure interactions. As it is common in these cases, many numerical methods have been introduced to reduce the difficulties related to the non-linear coupling between the structure and the fluid evolution, howe...

Numerical study of bubble dynamics with the Boundary Element Method

A new Boundary Element Method software for simulating bubble dynamics is presented. This tool allows us to simulate a wide variety of scenarios, including external acoustic fields and multiple bubble interaction. We present results on the interaction between two oscillating bubbles in various configurations. Different sized bubbles under the effects of acoustic fields at different frequencies h...

A new method for the numerical evaluation of domain integrals in a 3D boundary element method for transient heat conduction

A new method is proposed for the numerical evaluation of domain integrals in a 3D boundary element method. These integrals arise in the solution of the transient heat conduction problems, using a time-dependent boundary integral equation method named as pseudo-initial condition method. As the time-dependent kernel in the domain integral is close to singular when small time step is used, a strai...