Numerical Analysis of the Flows in the Pebble Bed Geometries

Many industrial processes in engineering occur in complex fluid-solid regions. In this thesis, we discuss Finite Element algorithms for modelling the fluid flow and heat transfer in such domains. Often times, for these types of problems, the meshing (and remeshing for time-dependant problems) process is the most computationally demanding portion of the solution process. We develop and analyze various algorithms that can be applied on a uniform mesh, by incorporating information about the geometry of the flow domain into the model