Krypton: Nonlinear Parabolized Stability Equation solver for transonic flow in curvilinear coordinates

Abstract

Krypton is an open-source framework to solve the linear and non-linear Parabolized Stability Equations (PSE) on a curvilinear coordinate system as a predictive tool to estimate the laminar-to-turbulent transition at transonic conditions. Written in Python and leveraging well-established libraries, the framework includes a laminar flow solver using a consistent numerical scheme as the modal stability calculations. The code is validated against published cases and can serve as the basis for future development of modal stability based problems in aerospace engineering, geophysical, and multiphase flows.

Keywords

• Parabolized stability equations
• Transitional flows
• Aerospace engineering
• Transition with surface roughness