Skipping The Jacobian: (Hyper) Reduced Order Models For Moving Meshes

We present a reduced order model (ROM) for a one-dimensional nonlinear gas dynamics problem: the isentropic piston. The main body of the PDE, the geometrical definition of the mesh nodes, and the boundary conditions are parametrized. The full order model is obtained with a Galerkin finite element discretization, under the Arbitrary Lagrangian...

An Isogeometric Analysis Approach for Morphoelastic Models: Application to Skin Contracture

Skin grafting is a common technique employed to treat patients after burn injuries. In contrast to the frequency and gravity of contractures following from skin grafts, the phenomenon itself is still poorly understood and subject of studies. The development of an accurate model of skin contractures will allow medical researchers to better...

Design and Structural Analysis of the Propellant Tank for a Water Resistojet

The purpose of this Thesis is to develop the design process of the pressurised propellant tank for a water resistojet, applicable to nanosatellite missions. The motivation of this system is its use on the CubeSat mission DelFFi, from the Technical University of Delft. The need for a small-sized pressure vessel is covered by the Detail Design...

Sequentially linear modelling of combined tension/compression failure in masonry structures

The modelling of brittle fracture is essential for the assessment of structural safety. It remains a challenge due to sharp material softening after realization of the material strength. Standard nonlinear finite element analysis techniques using incremental-iterative solution procedures have been adapted to deal with the sharp softening curves...

Component Mode Synthesis for geometrically nonlinear structures

In the field of computational physics and engineering, the introduction of computers opened a world of possibilities. The finite element method was developed in order to solve complex problems numerically. Over time, the method matured and structures in the field of engineering became more and more complex, resulting in large degree of freedom...

Fast iterative methods for solving the incompressible Navier-Stokes equations

This thesis approaches the solution of the linearized finite element discretization of the Navier-Stokes operator matrix via the use of Krylov subspace methods preconditioned by SIMPLE-type pre conditioners aided by deflation. It includes an explanation of the theoretical setting of the problem as well as a collection of numerical experiments...

Implementation of a wetting and drying algorithm in a finite element model

In numerical modelling of water movement wetting and drying is a well known problem. The governing equations are not valid in the dry part of the computational domain which may result in problems with mass conservation, negative water depths and artificially enlarged gradients. A method is proposed that allows for the surface elevation to become...