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An eXtreme Mesh deformation method to follow sharp physical interfaces

Project description

Extreme deformation in finite element models of interfaces

Understanding the processes occurring at and across physical interfaces between different materials is essential to numerous fields of science and engineering. Finite element simulations are key, yet balancing trade-offs between computational load and accuracy is a challenge. The ERC-funded X-MESH project aims to pioneer a finite element approach using extreme deformation of the meshes – for example, allowing a triangle to deform to an edge or even a single point. This should enable unparalleled low computational cost, robustness and accuracy. The project will focus on six areas of fluid and solid mechanics and heat transfer with implications for fields including safety design and maintenance, manufacturing processes, coastal engineering, energy efficiency and ocean modelling.

Objective

This project will develop an innovative approach,
X-MESH, to overcome a major difficulty associated with engineering
analysis: we aim to provide a revolutionary way to track physical
interfaces in finite element simulations using extreme deformation of
the meshes.

Unprecedented low computational cost, high robustness and
accuracy are expected as the proposed approach is designed to avoid
the pitfalls of the current methods, especially for topological changes.

The key idea of the project
has emerged in a synergistic brainstorming between J.-F. Remacle
(meshing methods) and N. Moës (computational methods). This key idea
is to allow elements to deform up to zero measure. For example, a
triangle can deform to an edge or even a point. This idea is rather
extreme and totally revisits the interaction between the meshing
community and the computational community who, for decades, have
striven to interact through beautiful meshes.

Six areas in fluid and solid mechanics as well as heat
transfer are targeted. Interfaces will be either (i) material,
i.e. attached to particles of matter (the interface between two
immiscible fluids or the dry interface in a wetting and drying model)
(ii) immaterial, i.e. migrating through the material (a
solidification front, contact front, yield front in yield stress fluid
flow or a crack front).

Successes brought by X-MESH are expected in the following engineering
areas: safety design and maintenance, manufacturing processes, coastal
engineering, energy efficiency, ocean modeling to cite a few. The
project takes place in a stimulating environment mixing senior staff
with PhDs and Post-docs to produce and disseminate publications with
open source pieces of software. It also intends to create a synergy at
large with the computational communities dealing with interfaces and
fronts in all fields of science: topology optimization,
superconductivity, tissue growth, hydrogel swelling, crystal growth,
ferroelectric crystal etc.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-ERC-SYG - HORIZON ERC Synergy Grants

See all projects funded under this funding scheme

Call for proposal

(opens in new window) ERC-2022-SYG

See all projects funded under this call

Host institution

UNIVERSITE CATHOLIQUE DE LOUVAIN
Net EU contribution
€ 4 583 973,25
Address
PLACE DE L UNIVERSITE 1
1348 LOUVAIN LA NEUVE
Belgium
Region
Région de Bruxelles-Capitale/Brussels Hoofdstedelijk Gewest Région de Bruxelles-Capitale/ Brussels Hoofdstedelijk Gewest Arr. de Bruxelles-Capitale/Arr. Brussel-Hoofdstad
Activity type
Higher or Secondary Education Establishments
Links
Total cost
€ 4 583 973,25

Beneficiaries (3)