Modeling of Non-equilibrium Hypersonic Air Flows by Means of the Multi-group Maximum Entropy Method
Abstract
The development of hypersonic weapons, frequently noted as a game-changing capability in military superiority, critically relies on the availability of computationally efficient and accurate models for the description of non-equilibrium flows. This project has constructed a reduced-order model for modeling of non-equilibrium phenomena in high-speed airflows. This work is at the interface between computational chemistry and computational fluid dynamics and aims at developing new models based on microscopic theory and applying them to macroscopic scales. The most physically consistent description of non-equilibrium flows relies on the solution of the master equations for each internal level of the gas particles. However, such a detailed description is impractically expensive. The proposed approach leverages the maximum entropy principle, subject to a series of moment constraints, to reconstruct the logarithm of the distribution function expressed as a power series in internal energy. To improve the accuracy of the method, the internal energy levels are lumped in multiple groups, leveraging an adaptive kinetic-based grouping strategy to select the best arrangement of the states within each group.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 15, 2022
- Accession Number
- AD1231073
Entities
People
- Marco Panesi
- Simone Venturi
Organizations
- University of Illinois Urbana–Champaign