Added Mass Effects of Compressible and Incompressible Flows in Fluid-Structure Interaction

The subiteration method which forms the basic iterative procedure for solving fluid structure-interaction problems is based on a partitioning of the fluid-structure system into a fluidic part and a structural part. In fluid-structure interaction, on short time scales the fluid appears as an added mass to the structural operator, and the...

A Space-Time Finite Element Approach to the Numerical Simulation of Vascular Fluid-Solid Interaction

Numerical studies of cardiovascular diseases like arteriosclerosis have gained increasing attention the last decade. The modeling of blood, blood vessel and their coupling, shows to be a challenging problem. In this thesis a two-dimensional model has been constructed and its behaviour has been investigated. We model the blood vessel by a linear...

Goal-Oriented A-Posteriori Error Estimation and Adaptivity for Fluid-Structure Interaction

Numerical simulation of fluid-structure interaction generally requires vast computational resources. Paradoxically, the computational work is dominated by the complexity of the subsystem that is of least practical interest, viz. the fluid. The resolution of each of the many small-scale features in the fluid is prohibitively expensive. However,...

Discontinuous Galerkin methods with solenoidal elements for the Stokes problem

The essential difficulty in the numerical solution of the incompressible Navier-Stokes (NS) equations is the coupling between the pressure and the velocity. The coupling enforces a constraint on the relation between the pressure and the velocity space. This constraint can be studied using a simplified form of the NS equations, viz. the Stokes...

Mesh Association by Projection along Smoothed-Normal-Vector Fields: Association of Closed Manifolds

The necessity to associate two geometrically distinct meshes arises in many engineering applications. Current mesh-association algorithms are generally unsuitable for the high-order geometry representations associated with high-order finite-element discretizations. In the present work we therefore propose a mesh-association method for high-order...

Space/Time Multigrid for a Fluid-Structure-Interaction Problem

The basic iterative method for solving fluid-structure-interaction problems is a defect-correction process based on a partitioning of the underlying operator into a fluid part and a structural part. In the present work we establish for a prototypical model problem that this defect-correction process yields an excellent smoother for multigrid, on...

Development of a constitutive model for self-healing materials

This report is the result of a pilot-study towards the numerical simulation of self-healing materials. At the moment this project is conducted the development of self-healing materials is in an early stage. At the chair of Engineering Mechanics of the faculty of Aerospace Engineering, Delft University of Technology, no numerical model has been...

Numerical investigation of the membrane fluid-structure-interaction problem

A fluid-structure-interaction problem comprising a membrane interacting with an aerodynamic flow is of interest for research focused on the behavior of flexible aerospace structures. However, there are no systematic studies available in literature considering this type of problem. The present work examines the numerical solution method and the...

Stochastic Flutter Analysis

The field of fluid-structure interaction is combined with the field of stochastics to perform a stochastic flutter analysis. Various methods to directly incorporate the effects of uncertainties in the flutter analysis are investigated. The panel problem with a supersonic fluid flowing over it is considered as a testcase. The stochastic moments ...

Preliminary investigation of overlap coupling for hybrid LES/RANS

Interface-GMRES(R) Acceleration of Subiteration for Fluid-Structure-Interaction Problems

Subiteration forms the basic iterative method for solving the aggregated equations in fluid-structure-interaction problems, in which the fluid and structure equations are solved alternately subject to complementary partitions of the interface conditions. However, this subiteration process can be defective or inadequate, as it is endowed with...

An H1(Ph)-Coercive Discontinuous Galerkin Formulation for the Poisson Problem: 1-D Analysis

Discontinuous Galerkin (DG) methods are finite element techniques for the solution of partial differential equations. They allow shape functions which are discontinuous across inter-element edges. In principle, DG methods are ideally suited for hp-adaptivity, as they handle nonconforming meshes and varying-in-space polynomial-degree...