# Integrating Numerical Simulation and Geometric DesignTechnology

## Objective

The objective of this ITN is to develop the next generation methods integrating numerical simulation and geometric design technology. Currently, geometric design and simulation is based on different geometry representation hampering the effective design of Engineering structures, materials and components. Isogeometric analysis developed recently tries to remove those drawbacks by integrating CAD shape functions, in particular NURBS, in numerical analysis.

On the other hand, not all design models are based on CAD designs. In many applications, the geometric description is obtained from other data, e.g. CT-scans or surface models or point clouds generated by laser scanners, e.g. from clays models for automotive design. A classical application is reverse engineering, material characterization or computer supported materials design. The automatic image segmentation of CT-scans and the subsequent creation of the “design model” is far from simple. Voxel-based finite element analysis is commonly used in such applications

The analysis of an engineering object based on the simulation of some physical system usually requires the generation of a computational basis for a partial differential equation. Typically this discretization is based on a geometric mesh model or a set of nodes which determines local basis elements. The properties of these basis elements in relation to the partial differential equation are crucial to obtain good analysis results. Depending on the system simulated, different types of basis elements are required.

In this ITN, we aim to provide a general framework of unifying pre-processing/design in general with numerical analysis. The framework will be applied to the most common and popular methods employed in pre-processing.design and analysis, i.e. spline-based basis functions (NURBS, T-splines, etc.), voxel-based finite elements, polynomial (standard) and spline-based finite elements and extended finite element and meshfree methods.

### Field of science

• /natural sciences/mathematics/applied mathematics/numerical analysis
• /natural sciences/mathematics/pure mathematics/geometry
• /natural sciences/mathematics/pure mathematics/mathematical analysis/differential equations/partial differential equations
• /natural sciences/physical sciences/optics/laser physics

### Call for proposal

FP7-PEOPLE-2011-ITN
See other projects for this call

### Funding Scheme

MC-ITN - Networks for Initial Training (ITN)

### Coordinator

BAUHAUS-UNIVERSITAET WEIMAR
Geschwister Scholl Strasse 8
99423 Weimar
Germany
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 022 858

### Participants (6)

CARDIFF UNIVERSITY
United Kingdom
EU contribution
€ 1 243 590
CF24 ODE Cardiff
Activity type
Higher or Secondary Education Establishments
Eevi Laukkanen (Ms.)
UNIVERSITAT LINZ
Austria
EU contribution
€ 606 211
Altenberger Strasse 69
4040 Linz
Activity type
Higher or Secondary Education Establishments
Bert Jüttler (Prof.)
UNIVERSITAT POLITECNICA DE VALENCIA
Spain
EU contribution
€ 233 701
Camino De Vera Sn Edificio 3A
46022 Valencia
Activity type
Higher or Secondary Education Establishments
Jose Antonio Perez Garcia (Mr.)
CENTRE DE RECHERCHE EN AERONAUTIQUE ASBL - CENAERO
Belgium
EU contribution
€ 234 648
Batiment Eole, 1Er Étage - Rue Des Frères Wright 29
6041 Gosselies
Activity type
Research Organisations
Bertrand Herry (Dr.)
inuTech GmbH
Germany
EU contribution
€ 232 124
Fuerther Strasse 212
90429 Nuremberg
Activity type
Private for-profit entities (excluding Higher or Secondary Education Establishments)