Constrained large-eddy simulation of a spatially evolving supersonic turbulent boundary layer at M = 2.25

Abstract

A spatially developing supersonic flat plate boundary layer flow at M ∞ = 2.25 is analyzed using the constrained large-eddy simulation (CLES) method. The Reynolds number based on the momentum thickness of the inlet boundary layer is R e θ = 3429. The mean and statistical quantities, including mean velocity, mean temperature, and total temperature, are obtained and compared among the present approach, large eddy simulation (LES) with the dynamic Smagorinsky model, detached eddy simulation (DES), and naturally developed direct numerical simulation (ND-DNS). As a result, CLES can predict these mean quantities and statistics more accurately than LES and DES, and the results are in good agreement with the ND-DNS data. This demonstrates that CLES is an effective method for spatially developing supersonic flat-plate boundary layer flows.