Entropy-conserving Large Eddy Simulation Models for Hypersonic Flows

Abstract

A new Large Eddy Simulation (LES) model is proposed for hypersonic boundary layer flows which will allow an accurate prediction of the heat flux rate in the region of shock-wall interaction and will enforce entropy conservation. The model will contain (1) the full form of the heat and mass fluxes that for each type of flux encompasses contributions from terms proportional to the temperature gradient, the pressure gradient, and the mass fraction gradients of all species, and (2) a real-gas equation of state. It is first proposed to perform Direct Numerical Simulations (DNSs) using this model, so as to establish a database. Comparisons between the results obtained using this new flux model with results from DNS using the typically employed fluxes will be conducted. Then, the LES equations will be developed with no approximations, meaning that new Subgrid-Scale (SGS) terms, currently neglected, will emerge. Further, these LES equations will be examined using the DNS database and the magnitude of the new terms will be evaluated and compared to that of the resolved terms for different filter widths. Those of the new terms which have magnitude comparable to the resolved terms effectively represent new SGS terms requiring modeling.

Document Details

Document Type
DoD Grant Award
Publication Date
Feb 29, 2024
Source ID
FA95502310295

Entities

People

  • Josette Bellan

Organizations

  • Air Force Office of Scientific Research
  • California Institute of Technology
  • United States Air Force

Tags

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight