Classical and Quantum Computing Algorithm Design for Hypersonic Propulsion CFD Author: Mark Prusten Description: The implementation of Interstellar travel requires a unique propulsion system which will need new High Performance Computing (HPC) innovations. The solving of these partial differential equationsPDE’s is ideal application to Quantum Computing Algorithm implementation. The development of Classical Computational Fluid Dynamics (CFD) and Thermodynamics for Hypersonic Propulsion from historical to present modeling techniques is presented. This work explores new algorithms from Classical to Quantum Computing for the eventual E-Design process. The Navier-Strokes Partial differential equations describes fluid dynamics motion, and chemical gas reactions. These equations holds throughout the fluid and define the conservation of mass, momentum, and time dependent energy. Then the state equation connects pressure, temperature, density and stress from viscous term. The full 3D NavierStrokes mathematica form are never completely integrable but can be coupled to equations of Gas Dynamics for aerodynamics undergoing chemical reactions, and Maxwell’s equations for magnetohydrodynamic propulsion. The modeling of Turbulence and Vorticity for complex turbulent combustion is developed with Stochastic differential equations. These equations describe the transport variables and coupling to turbulence, exothermicity, variable density, and differential diffusion. The classical computation of these principles for Hypersonic Propulsion are developed for the design criteria of: grid resolution, stability, in flux-splitting. The Riemann Solvers can be expanded to the Quantum Computing algorithms with the appropriate Quantum Computing Qubit’s to address hypersonic fluid-chemical modeling and improve computation efficiency by many fold to present day capabilities.