Natural Resources Canada

Novel methods for the computationally efficient simulation of compressible fluid flow will be developed, with applications to aerospace and space physics. First, new formulations of multigrid techniques for the implicit solution of time-dependent flows will be studied, using parabolization to increase diagonal dominance and solution efficiency. Second, new direct solution methods for steady transonic flows will be developed, employing dynamical systems and characteristic analysis.

The spread of pests and pathogens, including exotic insects arriving in packing material and naturalized pests such as the Colorado potato beetle, have a substantial impact on Canadian industry and the economy. Working with food producers, provincial and federal government agencies and wildlife organizations, this project team is developing essential mathematical tools necessary for the management of our natural and agricultural resources. This past year, the group has developed a theory of spreading speeds applicable to many mathematical models of spatial spread in biological systems.