On the use of the spectral element method for the modeling of fluid–structure interaction problems

Abstract

This study addresses a fluid–structure interaction problem that models flow in a channel. Simulations were conducted to investigate the method's effectiveness when applied to real obstacle scenarios, where the obstacle is explicitly represented within the channel. To tackle the Navier–Stokes equations, we utilized the spectral–Fourier–asymptotic approach, which is a mesh-free method that combines Chebyshev polynomials and Fourier series with the asymptotic method based on power series.