The Lattice-Boltzmann method has been seen as an alternative model for the computational simulation of fluid dynamics. It is based on the Boltzmann transport equation, which serves as the foundation of kinetic theory of gases. Considering its suitability for complex geometry problems, it has been widely applied for the description of fluid flow with one or more components inside porous media, e...

The Automated Multi-Level Sub-structuring (AMLS) method is a powerful technique to determine a large number of eigenpairs with moderate accuracy of huge symmetric and definite eigenvalue problems in structural analysis. This paper is concerned with an adapted version of AMLS for eigenfrequency analysis of fluid-solid interaction systems. Although fluid-solid vibrations are governed by an unsymm...

In immersed interface methods, solids in a fluid are represented by singular forces in the Navier–Stokes equations, and flow jump conditions induced by the singular forces directly enter into numerical schemes. This paper focuses on the implementation of an immersed interface method for simulating fluid–solid interaction in 3D. The method employs the MAC scheme for the spatial discretization, t...

We present an Embedded Boundary method for the interaction between an inviscid compressible flow and a fragmenting structure. The fluid is discretized using a Finite Volume method combining LaxFriedrichs fluxes near the opening fractures, where the density and pressure can be very low, with highorder monotonicity-preserving fluxes elsewhere. The fragmenting structure is discretized using a Disc...

An inhomogeneous solid layer is bounded on one side by a fluid half-space and on the other by a homogeneous solid half-space. An acoustic wave in the fluid is incident on the layer. Experiments suggest that some kind of shear-wave resonance of the layer exists. Here, the layer is modeled with exponential variations of the material properties (Epstein model). Solutions in terms of hypergeometric...