An immersed finite element method for solid–fluid interaction is presented with application focus on highly deformable elastic bodies in a Stokes flow environment. The method is based on a global balance equation which combines the solid and fluid momentum balances, the fluid mass balance and, in weak form, the interface conditions. By means of an Updated Lagrangian description for finite elast...

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...

This paper focuses on the modelling of fluid-structure interaction and wave propagation problems in a stented artery. Reflection of waves in blood vessels is well documented in the literature, but it has always been linked to a strong variation in geometry, such as the branching of vessels. The aim of this work is to detect the possibility of wave reflection in a stented artery due to the repet...

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...

We consider the scattering of time harmonic electromagnetic plane waves by a bounded, inhomogeneous, anisotropic dielectric medium and show that under certain assumptions a lower bound on the norm of the (matrix) index of refraction can be obtained from a knowledge of the smallest transmission eigenvalue corresponding to the medium. Numerical examples are given showing the efficaciousness of ou...

In this work, a lattice-Boltzmann method based on field mediators is proposed for the simulation of wetting in a liquid–vapor system. The method includes the effect of long-range interactions between the particles and solid walls, and is implemented together with a liquid–vapor model which is known from the literature. The results that were obtained in the simulations show that the contact angl...

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...

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...