Numerical Simulation of Fluid-Structure Interaction Problems with Applications to Flow in Vocal Folds
Abstract
Recently, the numerical solution of FSI problems becomes important also in biomechanics, among others in speech modeling. The numerical analysis of this case is very complicated: Human voice is created by passage of air flow between vocal folds, where the constriction formed by the vocal folds induces acceleration of the flow and vocal fold oscillations, which generates the sound.
The modeling of such a complex phenomenon encounters many difficulties as it is a result of coupling complex fluid dynamics and structural behavior. We focus on mathematical and numerical modelling of nonlinear coupled problems of fluid-structure interactions.
The main attention is paid to the mathematical description of a relevant problem and to the description of the applied numerical methods. The mathematical description consists of the elasticity equations describing the motion of an elastic structure, and the air flow modelled by the Navier-Stokes equations.
Both models are coupled via interface conditions.