Study on dimension reduction methods for a fluid conveying tube

Abstract

The Application of Dimension Reduction by Approximate Inertial Manifolds to the dynamics of a fluid conveying tube doesn´t perform as expected due to the presence of viscous damping terms, which lead to a cluster point of stable eigenvalues. We investigate methods to circumvent the problems introduced by this cluster point: For the spectral decomposition part of the invariant subspaces are computed using the Schur factorisation. Also a different choice of basis functions for the dominating modes avoids the difficulties.