title: Fluid-structure interaction of compressible flow
creator: Hasnedlová, Jaroslava
subject: ddc-510
subject: 510 Mathematics
description: The presented work is split into two parts. The first part is devoted to the theory of the discontinuous Galerkin finite element (DGFE) method  for the space-time discretization of a nonstationary convection-diffusion initial-boundary value problem with nonlinear convection and linear diffusion. The DGFE method is applied separately in space and time using, in general, different space grids on different time levels and different polynomial degrees p and q in space and time discretization. The main result is the proof of error estimates in L^2(L^2)-norm and in DG-norm formed by the L^2(H^1)-seminorm and penalty terms. The second part of the thesis deals with the realization of fluid-structure interaction problem of the compressible viscous flow with the elastic structure. The time-dependence of the domain occupied by the fluid is treated by the ALE (Arbitrary Lagrangian-Eulerian) method, when the compressible Navier-Stokes equations are formulated in the ALE formulation. The deformation of the elastic body, caused by the aeroelastic forces, is described by the dynamical elasticity equations. Both these systems are coupled by the transmission conditions. For the space discretization of the flow problem the DGFE method is used. The time-discretization is realized by the backward difference formula. The structural problem is discretized by conforming finite element method and the Newmark method. The fluid-structure interaction is realized via weak or strong coupling algorithms. The developed technique is tested by numerical experiments and applied to the simulation of vibrations of vocal folds during phonation onset.
date: 2012
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/13743/1/Hasnedlova_PhDThesis.pdf
identifier: DOI:10.11588/heidok.00013743
identifier: urn:nbn:de:bsz:16-opus-137438
identifier:   Hasnedlová, Jaroslava  (2012) Fluid-structure interaction of compressible flow.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/13743/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng