Development of a Jacobian-free Finite Element Solver for Aerothermodynamic Design

摘要

Within the context of hypersonic flight, a finite element solver is introduced on the basis of a Jacobian-free implementation with the aim to address an arbitrary number of species with complex non-equilibrium thermodynamics in a computationally efficient and flexible manner. An adaptive edge-based formulation is proposed to define a general framework for the accurate solution of the conservation laws. Numerical and physical difficulties specific to high-speed flows are addressed for 2D and 3D cases.