Computational Modelling Theme

Large Eddy Simulation of a Mach 0.126 air flow over a rectangular cavity
Large Eddy Simulation of a Mach 0.126 air flow over a rectangular cavity

Computational Modelling is rapidly penetrating many aspects of cutting edge research in Science and Engineering. The ever-increasing complexity of Physical, Chemical, Biological and Geological phenomena, as well as the current needs in advanced Engineering design, render the use computational models and simulators an indispensable tool in many research topics.

The Computational Modelling Theme (CMT) provides a hub to coordinate and facilitate the use of cutting edge high performance computational methods within the College's interdisciplinary activities.

Contact: The Computational Modelling Theme Leader is Dr Emmanuil Georgoulis.

The CMT benefits from its involvement in cutting edge High Performance Computers: Leicester's own ALICE cluster, as well as the HPC Midlands and DiRAC inter-institutional supercomputing facilities.

Large Scale Research Projects

CMT is actively participating in the following large scale projects:

aerotranetAeroTraNet 2 is a Marie Curie Action FP7 EU Programme. It trains early stage and experienced researchers in front-line, integrated, industry relevant research in unsteady aerodynamics and noise for the next generation of environmentally friendly wide-body civil aircraft. Building upon the multi-host Early Stage Training FP6 programme AeroTraNet, AeroTraNet 2 clusters the complementary expertise of 5 established European academic institutes, 2 European multi-national companies, 1 Small and Medium Enterprise (SME), and one national research centre.

IMPaCT is a new Centre for Doctoral Training co-led by Leicester aiming to train the next generation of metal processing researchers and engineers with the required combination of experimental, analytical and computational skills that are needed to build innovation. IMPaCT will provide students from different disciplines with coherent knowledge of a range of metal processing technologies and develop their expertise in solving industrially relevant problems.

Recent and Current Research Highlights

  • Finite element methods for modelling mantle dynamics backward in time: finding the most likely scenario

Continents move because of the Earth’s mantle movement due to convective forces. Scientists have a good idea on how the continents looked like in the past millions of years, and they have a good idea on the physics behind mantle movement. A major challenge is to be able to use these two pieces of information to reconstruct and simulate the mantle’s movement even further to the past than 500 million years.

To simulate the mantle movement in a computer, modern numerical methods for the solution of respective systems of partial differential equations modelling slow, viscous, nearly incompressible flows are employed. Further, utilising the known continent configurations, the project team will use inverse methods to arrive to plausible initial conditions, i.e., plausible continents’ configurations going back more than 500 million years. The project is jointly funded by the British Geological Survey (BGS) and the University of Leicester.

Project Leaders: T. Barry (Geology), A. Cangiani and E.H. Georgoulis (Mathematics), J. Ludden (BGS).

  • Modelling fluid flow using Lattice-Boltzmann methods

A new system of nonequilibrium entropy limiters for the lattice Boltzmann methods (LBM) is constructed, able to erase spurious oscillations without blurring of shocks, whle not affecting smooth solutions. In general, they do the same work for LBM as flux limiters do for finite differences, finite volumes and finite elements methods, but for LBM the main idea behind the construction of nonequilibrium entropy limiter schemes is to transform a field of a scalar quantity - nonequilibrium entropy. We study how regularization of LBM can be achieved by modifying dissipation. Using some standard 1D and 2D benchmarks including the shock tube and lid driven cavity, we explore the effectiveness of various classes of methods with additional dissipation.

R.A. Brownlee, J. Levesley, D. Packwood, A.N. Gorban, Add-ons for Lattice Boltzmann Methods: Regularization, Filtering and Limiters, Progress in Computational Physics, 2013, vol. 3, 31-52.

R. A. Brownlee, A. N. Gorban, and J. Levesley, Nonequilibrium entropy limiters in lattice Boltzmann methods, Physica A 387 (2-3) (2008), 385-406.

Project Leaders: A. Gorban and J. Levesley (Mathematics).

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Contact Details

College of Science and Engineering
Physics Building
University of Leicester 
Leicester
LE1 7RH
Tel: 0116 252 3497 
Email: skh14@leicester.ac.uk