This invention belongs to the field of hypersonic
aerodynamics and discloses a method for predicting hypersonic boundary layer transition based on the numerical solution of the
frequency domain Navier-Stokes equations. This method, through the assumption of small perturbations, linearly decomposes the hypersonic flow field into a steady flow field and a perturbed flow field. It eliminates the time differential terms in the time-domain Navier-Stokes equations using complex
decomposition, transforming the time-domain Navier-Stokes equations into linear algebraic equations in complex space, thereby simplifying the solution and analysis of the time-domain Navier-Stokes equations. Specifically, it includes three stages: preprocessing,
solver, and post-
processing. The iterative solution of the frequency-domain Navier-Stokes equations in the
solver is the core, including spatial
discretization of the frequency-domain Navier-Stokes equations, iterative progression, implementation of boundary conditions, parallel
data exchange, convergence judgment, and result output. The hypersonic boundary layer transition prediction method based on the numerical solution of the frequency-domain Navier-Stokes equations of this invention can balance computational efficiency and accuracy, and has practical
engineering value.