Mohamed works on numerical aspects of the dynamics equations. This includes advection/transport schemes and their application to passive tracers and other prototype dynamical sets of equations, like shallow water equations.
Areas of expertise:
Semi-Lagrangian advection schemes.
Testing and evaluation of numerical schemes.
General aspects of discretisation of PDEs.
Mohamed's research activities have centred around the development of a conservative Semi-Lagrangian transport scheme (SLICE). This scheme is now being optimised and parallelized to be used for the conservative transport of tracers in atmospheric models.
Mohamed also developed a shallow water model based on the ENDGame formulation to test many aspects of this formulation.
Recently Mohamed's focus has changed to look at alternative grids to remove the singularity of the poles and reduce the scalability problems associated with classical longitude-latitude grids.
Mohamed has worked in the Dynamics Research group since joining the Met Office in 1999.
Prior to joining the Met Office, Mohamed worked (1993–1995) as a research fellow at the department of Mechanical Engineering, University of Glasgow. He worked on front tracking finite difference schemes for Stefan (or phase-change) problems. During 1995–1999, as a research fellow at the Wessex Institute of Technology, Southampton, Mohamed continued developing boundary element and meshless methods for phase-change and heat transfer problems.
Mohamed obtained an Ingeniorat d'Etat (BEng) from the University of Science and Technology of Oran (USTO), Algeria, in 1987, and a PhD in Mechanical Engineering, from the University of Glasgow, in 1993.