Computational Modelling Group

Finite elements

The finite element method (often called finite element analysis when used in applications) in is a widespread tool that discretises space into smaller parts of varying shapes (including tetrahedra), and is used to solve partial differential equations (PDEs). The method approximates the PDE with a system of algebraic equations for steady state problems, a system of ordinary differential equations for transient problems.

Image: approximation of a sphere with a set of tetrahedra (known as mesh or grid).

For queries about this topic, contact Hans Fangohr.

View the calendar of events relating to this topic.

Projects

Centre for Doctoral Training in Next Generation Computational Modelling

Hans Fangohr, Ian Hawke, Peter Horak (Investigators), Susanne Ufermann Fangohr, Ryan Pepper, Hossam Ragheb, Emanuele Zappia, Ashley Setter, David Lusher, Alvaro Perez-Diaz, Kieran Selvon, Thorsten Wittemeier, Mihails Milehins, Stephen Gow, Ioannis Begleris, Jonathon Waters, James Harrison, Joshua Greenhalgh, Rory Brown, Robert Entwistle, Paul Chambers, Jan Kamenik, Craig Rafter

The £10million Centre for Doctoral Training was launched in November 2013 and is jointly funded by EPSRC, the University of Southampton, and its partners.

The NGCM brings together world-class simulation modelling research activities from across the University of Southampton and hosts a 4-year doctoral training programme that is the first of its kind in the UK.

Chaotic Analysis of Partial Discharge

Paul Lewin (Investigator), Lyuboslav Petrov

The deterministic character of PD pulses predicted by theory has been shown to be existent for certain PD events. Finding characteristic patterns in phase space enables field-data PD detection with high reliability.

Computational Methods for Aircraft Noise Prediction

Gwenael Gabard (Investigator), Albert Prinn

The aim of this project is to develop and test an efficient flow acoustics solver based on the finite element method and the potential flow theory.

Continuously Tunable Optical Buffer

Peter Horak (Investigator)

The project aims to design, fabricate and test a novel integrated all-optical buffer device that is based on MEMS technology and provides a continuously tunable delay for optical pulses over a broad wavelength region. Such a device could play a crucial role in future packet-switched optical networks, photonic integrated circuits and coherent light based applications such as optically steered phase array antennas, LIDAR and optical coherence tomography.

This EPSRC funded project is a collaboration between the Optoelectronics Research Centre, Southampton, and University College London.

Coronary Artery Stent Design for Challenging Disease

Neil Bressloff (Investigator), Georgios Ragkousis

In this work, a method has been setup to (i) reconstruct diseased patient specific coronary artery segments; (ii) use the new supercomputer to run many simulations of this complex problem and (iii) assess the degree of stent malapposition. The aim now is to devise a stent delivery system that can mitigate this problem

Coupled Fluid-Structure Interaction to model Three-Dimensional Dynamic Behaviour of Ships in Waves

Pandeli Temarel, Zhi-Min Chen (Investigators), Puram Lakshmynarayanana

In the present study we focus our attention on fluid-structure interactions (FSI) of flexible marine structures in waves by coupling a fluid solver using Computational Fluid Dynamics (CFD) and a structural solver using Finite Element Analysis (FEA) software.

DePuy Technology Partnership

Mark Taylor (Investigator), Adam Briscoe

This initiative concerns the transfer of knowledge between three key institutions (University of Southampton, University of Leeds and University of Hamburg) and DePuy International limited. The project is concerned with the ongoing advancement of technology used in orthopaedic devices.

Designer 3D Magnetic Mesostructures

Hans Fangohr (Investigator), Matteo Franchin, Andreas Knittel

A new electrodeposition self-assembly method allows for the growth of well defined mesostructures. This project's aim is to use this method in order to fabricate supraconducting and ferromagnetic mesostructures. Numerical methods based on well-established models are used in order to characterise the grown structures.

Dynamics of interacting magnetic nanoparticles

Thomas Fischbacher (Investigator), Maximilian Albert

The project aims at extending the micromagnetic simulation framework 'nmag' developed at the University of Southampton to enable it to handle dynamic geometries. The extended framework will then be used to study systems such as interacting magnetic nanoparticles.

Fluid Structure Interactions of Yacht Sails

Stephen Turnock (Investigator), Daniele Trimarchi

The research is the main subject of the PhD topic. It regards the application of fluid structure interaction techniques to the domain of yacht sails simulation

Image Based Modelling of Fluid Flow through Lymph Nodes

Tiina Roose, Bharathram Ganapathisubramani, Geraldine Clough (Investigators), Laura Cooper

In this project we are using images of mouse lymph nodes to investigate the fluid transport pathways through it. The images of the nodes are taken using selective plane illumination microscopy, and synchrotron micro computed tomography. The fluid flow is modelled using Darcy's law in COMSOL Multiphysics and the models are run on the Iridis cluster.

Investigation into the Interfacial Physics of Field Effect Biosensors

Nicolas Green, Chris-Kriton Skylaris (Investigators), Benjamin Lowe

This interdisciplinary research aims to improve understanding of Field Effect Transistor Biosensors (Bio-FETs) and to work towards a multiscale model which can be used to better understand and predict device response.

Investigations of Lymphatic Fluid Flow

Tiina Roose, Bharathram Ganapathisubramani, Geraldine Clough (Investigators), Laura Cooper

The lymphatic system performs three main roles returns interstitial fluid back into the blood stream to maintain tissue fluid homeostasis. The aim of this project is to increase our understanding of how the lymph flows through the system by creating three dimensional fluid structure interaction models of the secondary lymphatic valves and image based models of lymph nodes.

Life assessment methods for industrial steam turbine blade to disc interfaces

Katherine Soady (Investigator)

This is an EngD project sponsored by E.ON New Build and Technology Ltd. which aims to develop the methods currently implemented in life assessment of industrial steam turbine blade to disc interfaces to take account of the surface treatment process (shot peening) which is applied to component before service and after repair.

Magnetic dynamics under the Landau-Lifshitz-Baryakhtar equation

Hans Fangohr (Investigator), Weiwei Wang

Magnetic dynamics using the Landau-Lifshitz-Baryakhtar (LLBar) equation that the nonlocal damping is included as well as the scalar Gilbert damping.

Mathematical modelling of plant nutrient uptake

Tiina Roose (Investigator)

In this project I will describe a model of plant water and nutrient uptake and how to translate this model and experimental data from the single root scale to the root branching structure scale.

Micromagnetic simulation of Magnetoelectric Multiferroics

Hans Fangohr (Investigator), Rebecca Carey

The focus of this project is towards the understanding of the magnetic and electric couplings in multiferroic materials, in order to create a magnetoelectric micromagnetic model.

Microstructural modeling of skin mechanics

Georges Limbert (Investigator), Emanuele Zappia

Microstructural modeling of skin mechanics to gain a mechanistic insight into the biomechanics of the skin.

Modelling the Combined Effects of Total Ionizing Dose and Random Dopant Fluctuations in sub-100 nm gate-length Transistors

Kees de Groot (Investigator), Eleni Chatzikyriakou

The radiation hardness of state-of-the-art silicon-on-insulator transistors of gate length dimensions of 90 nm and beyond is investigated. The combined effects of oxide charges and random fluctuations of the dopant atoms in silicon are considered. It is demonstrated that a parasitic channel forms at the interface of buried oxide and shallow trench isolation regions of the device and that this effect is aggravated by random dopant fluctuations.

Multi-objective design optimisation of coronary stents

Neil Bressloff, Georges Limbert (Investigators), Sanjay Pant

Stents are tubular type scaffolds that are deployed (using an inflatable balloon on a catheter), most commonly to recover the shape of narrowed (diseased) arterial segments. Despite the widespread clinical use of stents in cardiovascular intervention, the presence of such devices can cause adverse responses leading to fatality or to the need for further treatment. The most common unwanted responses of inflammation are in-stent restenosis and thrombosis. Such adverse biological responses in a stented artery are influenced by many factors, including the design of the stent. This project aims at using multi-objective optimisation techniques to find an optimum family of coronary stents which are more resistant to the processes of in-stent restenosis (IR) and stent thrombosis (ST).

Multiscale Modelling of Cellular Calcium Signalling

Hans Fangohr, Jonathan Essex (Investigators), Dan Mason

Calcium ions play a vitally important role in signal transduction and are key to many cellular processes including muscle contraction and cell apoptosis (cell death). This importance has made calcium an active area in biomedical science and mathematical modelling.

Multiscale Relativistic Simulations

There has been recent success in experiments, such as LIGO, in detecting the mergers of celestial objects via the gravitational waves they emit. I will use numerical methods to simulate the inspiral of a black hole/neutron star binary system.

Multiscale Relativistic Simulations

Ian Hawke (Investigator), Alex Wright

There has been recent success in experiments, such as LIGO, in detecting the mergers of celestial objects via the gravitational waves they emit. By implementing numerical methods, we aim to speed up the numerical simulations of these events but up to two orders of magnitudes, and study binary inspirals in greater detail and over much larger timespans.

MXL Project

Mark Taylor, Junfen Shi (Investigators)

‘MXL’ is short for “Enhanced patient safety by computational Modelling from clinically available X-rays to minimise the risk of overload and instability for optimised function and Longevity”. This is an international EU-funded project which the Bioengineering Sciences Research Group at Southampton is involved in. For more information, visit http://www.m-x-l.eu

Nmag - computational micromagnetics

Hans Fangohr, Thomas Fischbacher (Investigators), Matteo Franchin, Andreas Knittel, Maximilian Albert, Dmitri Chernyshenko, Massoud Najafi, Richard Boardman

Nmag is a micromagnetic simulation package based on the general purpose multi-physics library nsim. It is developed by the group of Hans Fangohr and Thomas Fischbacher in the School of Engineering Sciences at the University of Southampton and released under the GNU GPL.

Nonlinear Optical Pulse Propagation

Peter Horak, Francesco Poletti (Investigators)

The work is concerned with the propagation of high-power short-pulse propagation in microstructured fibres or waveguides. Dispersion properties and optical nonlinearities are exploited for pulse shaping techniques in space, time, and frequency. Investigated microstructures include silica or soft-glass templates, gas-filled capillaries, and semiconductor-filled fibres, and optical wavelengths range from the X-ray to the mid-infrared regime.

On the applicability of nonlinear timeseries methods for partial discharge analysis

Paul Lewin (Investigator), Lyuboslav Petrov

The governing processes of Partial Discharge (PD)
phenomena trigger aperiodic chains of events resulting in ’ap-
parently’ stochastic data, for which the widely adopted analysis
methodology is of statistical nature. However, it can be shown,
that nonlinear analysis methods can prove more adequate in
detecting certain trends and patterns in complex PD timeseries.
In this work, the application of nonlinear invariants and phase
space methods for PD analysis are discussed and potential pitfalls
are identified. Unsupervised statistical inference techniques based
on the use of surrogate data sets are proposed and employed for
the purpose of testing the applicability of nonlinear algorithms
and methods. The Generalized Hurst Exponent and Lempel Ziv
Complexity are used for finding the location of the system under
test on the spectrum between determinism and stochasticity. The
algorithms are found to have strong classification abilities at
discerning between surrogates and original point series, giving
motivation for further investigations.

Preventing Alzheimer's Disease: A Multiphysics Simulation Approach

Neil Bressloff, Giles Richardson, Roxana-Octavia Carare (Investigators), Alexandra Diem

Experimental research has identified the causes of many diseases, such as Alzheimer's Disease. However, finding an effective treatment is very cost- and time-intensive and sacrifices many animals and does not guarantee success. In this PhD project, we investigate the driving force of solute drainage in the brain using multiphysics simulations in order to identify possible ways of preventing dementia.

Pushing the Envelope of Planetary Formation and Evolution Simulations

Peter Bartram

A full understanding of the formation and the early evolution of the Solar System and extrasolar planetary systems ranks among natural science's grand challenges, and at present, even the dominant processes responsible for generating the observed planetary architecture remain elusive.

Respiratory mask modeling

Jacques Ernes

Abaqus modelling of repiratory masks, bioengineering, Health sciences

Simulating the Write Process in Perpendicular Magnetic Media

Hans Fangohr (Investigator), Stuart Curtis

The project aims to use Nmag, a micromagnetics software package developed by the CMG to model the writing process in perpendicular magnetic recording.

Simulations of Magnetic Skyrmions

Hans Fangohr (Investigator), Ryan Pepper

The manipulation of magnetic skyrmions could prove to be a useful technique for storing data on an unprecedented density scale. In this project we seek to better understand their properties and ways to control them.

Skyrmionic states in confined helimagnetic nanostructures

Hans Fangohr (Investigator), Marijan Beg

An ever increasing need for data storage creates great challenges for the development of high-capacity storage devices that are cheap, fast, reliable, and robust. Because of the fundamental constraints of today's technologies, further progress requires radically different approaches. Magnetic skyrmions are very promising candidates for the development of future low-power, high-capacity, non-volatile data storage devices.

Stability of chiral structures in magnetic nanodisks

Hans Fangohr, Weiwei Wang (Investigators), David Cortes

This project is aimed to study the stability of skyrmionic and helical equilibrium states in magnetic nanodisks, using computational simulations.

Statistical model of the knee

Mark Taylor (Investigator), Francis Galloway, Prasanth Nair

Development of methods for large scale computational testing of a tibial tray incorporating inter-patient variability.

Tissue Engineering

Tiina Roose (Investigator)

This project deals with applying mathematical and computational modelling techniques to answer questions that are useful for tissue engineering applications.

Wave-based discontinuous Galerkin methods

Gwenael Gabard (Investigator), Greg Kennedy

Wave-based computational methods are developed to model sound propagation in moving inhomogeneous media.

µ-VIS Computed Tomography Centre

Ian Sinclair, Richard Boardman, Dmitry Grinev, Philipp Thurner, Simon Cox, Jeremy Frey, Mark Spearing, Kenji Takeda (Investigators)

A dedicated centre for computed tomography (CT) at Southampton, providing complete support for 3D imaging science, serving Engineering, Biomedical, Environmental and Archaeological Sciences. The centre encompasses five complementary scanning systems supporting resolutions down to 200nm and imaging volumes in excess of one metre: from a matchstick to a tree trunk, from an ant's wing to a gas turbine blade.

People

Neil Bressloff
Professor, Engineering Sciences (FEE)
Geraldine Clough
Professor, Medicine (FM)
Simon Cox
Professor, Engineering Sciences (FEE)
Kees de Groot
Professor, Electronics and Computer Science (FPAS)
Jonathan Essex
Professor, Chemistry (FNES)
Hans Fangohr
Professor, Engineering Sciences (FEE)
Jeremy Frey
Professor, Chemistry (FNES)
Bharathram Ganapathisubramani
Professor, Engineering Sciences (FEE)
Paul Lewin
Professor, Electronics and Computer Science (FPAS)
Ian Sinclair
Professor, Engineering Sciences (FEE)
Mark Spearing
Professor, Engineering Sciences (FEE)
Mark Taylor
Professor, Engineering Sciences (FEE)
Pandeli Temarel
Professor, Civil Engineering & the Environment (FEE)
Stephen Turnock
Professor, Engineering Sciences (FEE)
Nicolas Green
Reader, Electronics and Computer Science (FPAS)
Peter Horak
Reader, Optoelectronics Research Centre
Giles Richardson
Reader, Mathematics (FSHS)
Tiina Roose
Reader, Engineering Sciences (FEE)
Roxana-Octavia Carare
Senior Lecturer, Medicine (FM)
Prasanth Nair
Senior Lecturer, Engineering Sciences (FEE)
Zhi-Min Chen
Lecturer, Chemistry (FNES)
Gwenael Gabard
Lecturer, Institute of Sound & Vibration Research (FEE)
Ian Hawke
Lecturer, Mathematics (FSHS)
Georges Limbert
Lecturer, Engineering Sciences (FEE)
Chris-Kriton Skylaris
Lecturer, Chemistry (FNES)
Philipp Thurner
Lecturer, Engineering Sciences (FEE)
Richard Boardman
Senior Research Fellow, Engineering Sciences (FEE)
Francesco Poletti
Senior Research Fellow, Optoelectronics Research Centre
Edward Richardson
Senior Research Fellow, Engineering Sciences (FEE)
Rie Sugimoto
Senior Research Fellow, Institute of Sound & Vibration Research (FEE)
Marijan Beg
Research Fellow, Engineering Sciences (FEE)
Petros Bogiatzis
Research Fellow, Ocean & Earth Science (FNES)
Adam Briscoe
Research Fellow, Engineering Sciences (FEE)
Dmitry Grinev
Research Fellow, Engineering Sciences (FEE)
Nina Podoliak
Research Fellow, Physics & Astronomy (FPAS)
Maximilian Albert
Postgraduate Research Student, Engineering Sciences (FEE)
Peter Bartram
Postgraduate Research Student, University of Southampton
Patrick Bechlars
Postgraduate Research Student, Engineering Sciences (FEE)
Ioannis Begleris
Postgraduate Research Student, Engineering Sciences (FEE)
Leonidas Bourikas
Postgraduate Research Student, Civil Engineering & the Environment (FEE)
Rory Brown
Postgraduate Research Student, Civil Engineering & the Environment (FEE)
Jamie Caldwell
Postgraduate Research Student, Engineering Sciences (FEE)
Rebecca Carey
Postgraduate Research Student, Engineering Sciences (FEE)
Paul Chambers
Postgraduate Research Student, Engineering Sciences (FEE)
Eleni Chatzikyriakou
Postgraduate Research Student, Electronics and Computer Science (FPAS)
Dmitri Chernyshenko
Postgraduate Research Student, Engineering Sciences (FEE)
Laura Cooper
Postgraduate Research Student, Engineering Sciences (FEE)
David Cortes
Postgraduate Research Student, Engineering Sciences (FEE)
Enrique Cuan-Urquizo
Postgraduate Research Student, Engineering Sciences (FEE)
Alexandra Diem
Postgraduate Research Student, Engineering Sciences (FEE)
Samuel Diserens
Postgraduate Research Student, Engineering Sciences (FEE)
Robert Entwistle
Postgraduate Research Student, Engineering Sciences (FEE)
Francis Galloway
Postgraduate Research Student, Engineering Sciences (FEE)
Stephen Gow
Postgraduate Research Student, Engineering Sciences (FEE)
Joshua Greenhalgh
Postgraduate Research Student, Engineering Sciences (FEE)
James Harrison
Postgraduate Research Student, Engineering Sciences (FEE)
Alex James
Postgraduate Research Student, Institute of Sound & Vibration Research (FEE)
Jan Kamenik
Postgraduate Research Student, Engineering Sciences (FEE)
Greg Kennedy
Postgraduate Research Student, Institute of Sound & Vibration Research (FEE)
Puram Lakshmynarayanana
Postgraduate Research Student, Civil Engineering & the Environment (FEE)
Justin Lovegrove
Postgraduate Research Student, Mathematics (FSHS)
Benjamin Lowe
Postgraduate Research Student, Electronics and Computer Science (FPAS)
David Lusher
Postgraduate Research Student, Engineering Sciences (FEE)
Sam Mangham
Postgraduate Research Student, Electronics and Computer Science (FPAS)
Juraj Mihalik
Postgraduate Research Student, Engineering Sciences (FEE)
Puja Mishra
Postgraduate Research Student, Engineering Sciences (FEE)
Sanjay Pant
Postgraduate Research Student, Engineering Sciences (FEE)
Alvaro Perez-Diaz
Postgraduate Research Student, Engineering Sciences (FEE)
Lyuboslav Petrov
Postgraduate Research Student, Electronics and Computer Science (FPAS)
Daniel Powell
Postgraduate Research Student, Engineering Sciences (FEE)
Stephen Powell
Postgraduate Research Student, Engineering Sciences (FEE)
Craig Rafter
Postgraduate Research Student, Engineering Sciences (FEE)
Hossam Ragheb
Postgraduate Research Student, Engineering Sciences (FEE)
Georgios Ragkousis
Postgraduate Research Student, Engineering Sciences (FEE)
Christoph Riedel
Postgraduate Research Student, Electronics and Computer Science (FPAS)
Álvaro Ruiz-Serrano
Postgraduate Research Student, Chemistry (FNES)
Kieran Selvon
Postgraduate Research Student, Engineering Sciences (FEE)
Ashley Setter
Postgraduate Research Student, Engineering Sciences (FEE)
Katherine Soady
Postgraduate Research Student, Engineering Sciences (FEE)
Alex Stuikys
Postgraduate Research Student, Electronics and Computer Science (FPAS)
Daniele Trimarchi
Postgraduate Research Student, Engineering Sciences (FEE)
Valerio Vitale
Postgraduate Research Student, Electronics and Computer Science (FPAS)
Jonathon Waters
Postgraduate Research Student, Engineering Sciences (FEE)
Thorsten Wittemeier
Postgraduate Research Student, Engineering Sciences (FEE)
Martin Wood
Postgraduate Research Student, Ocean & Earth Science (FNES)
Alex Wright
Postgraduate Research Student, Civil Engineering & the Environment (FEE)
Emanuele Zappia
Postgraduate Research Student, Engineering Sciences (FEE)
Petrina Butler
Administrative Staff, Research and Innovation Services
Susanne Ufermann Fangohr
Administrative Staff, Civil Engineering & the Environment (FEE)
Erika Quaranta
Enterprise staff, Engineering Sciences (FEE)
Stuart Curtis
Alumnus, University of Southampton
Thomas Fischbacher
Alumnus, Engineering Sciences (FEE)
Matteo Franchin
Alumnus, Engineering Sciences (FEE)
basel haji
Alumnus, University of lattakia
Andreas Knittel
Alumnus, Industry
Dan Mason
Alumnus, University of Southampton
Mihails Milehins
Alumnus, University of Southampton
Massoud Najafi
Alumnus, Arbeitsbereich Technische Informatik Systeme, University of Hamburg, Germany
Albert Prinn
Alumnus, Institute of Sound & Vibration Research (FEE)
Kenji Takeda
Alumnus, Engineering Sciences (FEE)
Weiwei Wang
Alumnus, Ningbo University
Jacques Ernes
External Member, Technical University of Eindhoven
Junfen Shi
None, None