Research Statement:

I am working on the implementation of a computational framework for the evaluation of shape sensitivities based on an innovative Embedded Boundary Method (EBM) for computational fluid dynamics. This framework mitigates the well-known difficulties associated with meshing, mesh updating and/or re-meshing, particularly when topological changes are involved. It is based on the analytical derivation of relevant semi-discrete gradients of the underlying comprehensive flow solver, including those associated with laminar viscous and turbulent viscous quantities, and associated computational geometry support.