Scan-Based Immersed Isogeometric Flow Analysis

This chapter reviews the work conducted by our team on scan-based immersed isogeometric analysis for flow problems. To leverage the advantageous properties of isogeometric analysis on complex scan-based domains, various innovations have been made: (i) A spline-based segmentation strategy has been developed to extract a geometry suitable for...

Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics

In this article, we study the effect of small-cut elements on the critical time-step size in an immersogeometric explicit dynamics context. We analyze different formulations for second-order (membrane) and fourth-order (shell-type) equations, and derive scaling relations between the critical time-step size and the cut-element size for various...

Stability and conditioning of immersed finite element methods: analysis and remedies

This review paper discusses the developments in immersed or unfitted finite element methods over the past decade. The main focus is the analysis and the treatment of the adverse effects of small cut elements. We distinguish between adverse effects regarding the stability and adverse effects regarding the conditioning of the system, and we...

Nitsche's method as a variational multiscale formulation and a resulting boundary layer fine-scale model

We show that in the variational multiscale framework, the weak enforcement of essential boundary conditions via Nitsche's method corresponds directly to a particular choice of projection operator. The consistency, symmetry and penalty terms of Nitsche's method all originate from the fine-scale closure dictated by the corresponding scale...

CERISE - Combineren van energie en ruimte informatie standaarden als enabler voor smart grids - TKI smart grid project: TKISG01010 - D2.1 Use case energy balancing information facility. Werkpakket 20

Versie 1.1 – English summary - Final

D1.3 Inventarisatie Standaardisatieveld Energie, Geo en Overheidsdomein: Combineren van Energie en Ruimte Informatie Standaarden als Enabler voor Smart Grids

D1.1 Inventarisatie Use Cases: Combineren van Energie en Ruimte Informatie Standaarden als Enabler voor Smart Grids

Stochastic Finite Element Method for analyzing static and dynamic pull-in of microsystems

Electro–mechanical sensors and actuators are a specific type of microsystems. The electrostatic pull-in value is one of the defining characteristics for these devices. Because the material and geometrical properties of micro fabricated systems are often very uncertain, this pull-in value can be subject to considerable variations. Therefore it is...

Multiscale and probabilistic modelling of micro electromechanical systems

Micro electromechanical systems (MEMS) are nowadays used in many applications, such as airbag accelerometers and inkjet printer heads. With the number of applications growing, the need for advanced numerical tools to aid in the design of MEMS increases. The development of such tools is far from trivial, since numerical modelling of MEMS poses...

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 ...