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Numerical approximation of aeroacoustics induced by flow over a square cylinder

Marhan, Tomáš, Sváček, Petr (2025)

Programs and Algorithms of Numerical Mathematics

This study investigates the generation of aeroacoustic sound resulting from the interaction of flow with a square cylinder at a Reynolds number of 150 and a Mach number of 0.2. The analysis combines the Finite Volume Method (FVM) for fluid dynamics using the OpenFOAM framework with the Finite Element Method (FEM) for acoustics implemented via the FEniCS Python library.

Numerical simulation of surface acoustic wave actuated cell sorting

Thomas Franke, Ronald Hoppe, Christopher Linsenmann, Kidist Zeleke (2013)

Open Mathematics

We consider the mathematical modeling and numerical simulation of high throughput sorting of two different types of biological cells (type I and type II) by a biomedical micro-electro-mechanical system (BioMEMS) whose operating behavior relies on surface acoustic wave (SAW) manipulated fluid flow in a microchannel. The BioMEMS consists of a separation channel with three inflow channels for injection of the carrier fluid and the cells, two outflow channels for separation, and an interdigital transducer...

On some elliptic transmission problems

Christodoulos Athanasiadis, Ioannis G. Stratis (1996)

Annales Polonici Mathematici

Boundary value problems for second order linear elliptic equations with coefficients having discontinuities of the first kind on an infinite number of smooth surfaces are studied. Existence, uniqueness and regularity results are furnished for the diffraction problem in such a bounded domain, and for the corresponding transmission problem in all of N . The transmission problem corresponding to the scattering of acoustic plane waves by an infinitely stratified scatterer, consisting of layers with physically...

Simplified mathematical models of fluid-structure-acoustic interaction problem motivated by human phonation process

Valášek, Jan, Sváček, Petr (2025)

Programs and Algorithms of Numerical Mathematics

Human phonation process represents an interesting and complex problem of fluid-structure-acoustic interaction, where the deformation of the vocal folds (elastic body) are interplaying with the fluid flow (air stream) and the acoustics. Due to its high complexity, two simplified mathematical models are described - the fluid-structure interaction (FSI) problem describing the self-induced vibrations of the vocal folds, and the fluid-structure-acoustic interaction (FSAI) problem, which also involves...

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