A Hybridized Adaptive Method for Compressible Flow Simulation


Their research revolves around high-order consistent, hp-adaptive finite-element methods for convection-dominated problems. More specifically, they consider hybridized schemes for the compressible Navier-Stokes and RANS equations.

The main milestones for the doctoral research phase are

- Formulate an adjoint-consistent, hybridized discretization of the RANS equations

- Devise, implement, and validate target-based mesh-adaptivity for the compressible Navier-Stokes equations and RANS equations via discrete adjoint approach

- Assess the efficiency of the overall method, in comparison with a (non-hybridized) Discontinuous Galerkin method