Numerical methods, especially those related to spherical geometry
We are pursuing a number of approaches towards new numerical methods to be used in simulations of Earth's core and other fluid dynamical problems. These include studying alternative co-ordinate systems which avoid the need for Legendre transforms, development of 3D finite volume codes and better parallelisation of spectral codes.
An alternative, canted, co-ordinate system on a spherical surface, which would allow 2D Fourier transforms to be used, developed in collaboration with Torben Risbo, University of Copenhagen.
People involved: Andrew Jackson.