On the Stability of Higher-Order Continuum (HOC) Equations for Hybrid HOC/DSMC Solvers
Abstract
Our interest in the stability analysis of the high-order continuum (HOC) equations is motivated by the relevance to the development of a hybrid method combining such equations with the Direct Simulation Monte-Carlo (DSMC) technique for the computation of hypersonic flows in all regimes continuum, transition, and rarefied. The hybrid approach allows the effects of thermophysics (thermal and chemical non-equilibrium) and turbulence to be included much more easily than in other approaches, and can easily be developed into a robust and efficient engineering tool for practical 3D hypersonic computations. Stability characteristics of model HOC equations when subjected to small disturbances are investigated. We explore the feasibility of simplified, yet accurate and numerically stable, versions of the HOC equations and extend our previous work to include multidimensional Burnett equations, with the specific example of the Augmented Burnett models. The latter is shown to have a much wider stability regime than Lumpkin's model.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 13, 2005
- Accession Number
- ADA445985
Entities
People
- Foluso Ladeinde
- Ramesh Agarwal
- Xiaodan Cai
Organizations
- Stony Brook University