Hypersonics

There are a number of solution and verification techniques which, although very desirable for the PECOS project, are not easily accomplished with the third-party flow simulation software currently in use. Adjoint-based techniques require construction of accurate Jacobians of an adjoint-consistent formulation. Manufactured solution verification of PDE approximation codes requires the addition of non-physical forcing function terms. More sophisticated ablation, radiation and turbulence models require the addition of new fully coupled equations.

Work is therefore underway into hypersonic real-gas flow discretizations. FIN-S, the Fully Implicit Navier-Stokes simulator built on the libMesh finite element library, can simulate equilibrium, perfect gas compressible flows, with chemically reacting flow capabilities currently under development. Stabilization and shock capturing consistent with adjoint formulations and adequate to a
multi-species reacting flow are subjects of ongoing research.

• Develop manufactured solutions for the compressible Navier-Stokes equations
• Add capability for reacting flows in FIN-S
• Develop adjoint formulation for stabilized and shock capturing formulations
• Develop tightly coupled formulations to include shock-layer and surface ablation models
• Develop manufactured solutions for fully coupled problems