Developing and analysing mathematical models and simulations

Accurate modelling of complex systems demands sophisticated mathematical approaches.

Computer modelling is used to describe materials in different conditions, using plasma, solid-state physics and computational fluid dynamics.

We perform modelling from the quantum scale, through microscale phenomena, to large-scale properties of materials.

Our mathematicians work with computer scientists and theoretical and experimental scientists at AWE to develop these models. We implement the models on highly advanced supercomputers, using massively scalable algorithms, validating them against real data and analytical solutions we derive.

Our experts use a variety of modelling and analytical techniques. These include:

  • Finite Element and Finite Difference
  • Particle-in-cell
  • Eulerian and Lagrangian hydrocodes
  • Hybrid Eulerian/Lagrangian hydrocodes
  • Adaptive meshing
  • Spectral and Fourier transform methods
  • Deterministic methods
  • Monte Carlo methods
  • Particle swarm optimisation