On linear stability analyses of hypersonic laminar separated flows in a DSMC Framework Part II: Residuals algorithm and the least damped global modes

Ozgur Tumuklu, Jose Miguel Pérez, Vassilis Theofilis, Deborah Levin Fliflet

Research output: Contribution to conferencePaper

Abstract

Linear global instability analysis of hypersonic laminar separated flows over a double cone and a 'tick' configuration is performed. Statistical analysis of unsteady DSMC data yields the average damping rates of the respective least damped perturbations. The residuals algorithm is then used to predict the converged steady state at a fraction of the DSMC computational effort, as well as identify the amplitude functions of the underlying global modes of shock-dominated laminar separated flow. It is seen that the main flow features, such as the shape and location of the shock, the triple point and the entire laminar separated region, are clearly reflected in the amplitude functions of the global modes. First steps are taken toward self-consistent instability analysis of DSMC-based hypersonic flows, based on linearization of the probability distribution function. The viability of the approach is demonstrated in incompressible global stability analysis computations based on the Lattice Boltzmann method.

Original languageEnglish (US)
StatePublished - Jan 1 2017
Event57th Israel Annual Conference on Aerospace Sciences, IACAS 2017 - Tel Aviv and Haifa, Israel
Duration: Mar 15 2017Mar 16 2017

Other

Other57th Israel Annual Conference on Aerospace Sciences, IACAS 2017
CountryIsrael
CityTel Aviv and Haifa
Period3/15/173/16/17

Fingerprint

Hypersonic aerodynamics
Laminar flow
Hypersonic flow
Linearization
Probability distributions
Distribution functions
Cones
Statistical methods
Damping

ASJC Scopus subject areas

  • Aerospace Engineering

Cite this

Tumuklu, O., Pérez, J. M., Theofilis, V., & Levin Fliflet, D. (2017). On linear stability analyses of hypersonic laminar separated flows in a DSMC Framework Part II: Residuals algorithm and the least damped global modes. Paper presented at 57th Israel Annual Conference on Aerospace Sciences, IACAS 2017, Tel Aviv and Haifa, Israel.

On linear stability analyses of hypersonic laminar separated flows in a DSMC Framework Part II : Residuals algorithm and the least damped global modes. / Tumuklu, Ozgur; Pérez, Jose Miguel; Theofilis, Vassilis; Levin Fliflet, Deborah.

2017. Paper presented at 57th Israel Annual Conference on Aerospace Sciences, IACAS 2017, Tel Aviv and Haifa, Israel.

Research output: Contribution to conferencePaper

Tumuklu, O, Pérez, JM, Theofilis, V & Levin Fliflet, D 2017, 'On linear stability analyses of hypersonic laminar separated flows in a DSMC Framework Part II: Residuals algorithm and the least damped global modes', Paper presented at 57th Israel Annual Conference on Aerospace Sciences, IACAS 2017, Tel Aviv and Haifa, Israel, 3/15/17 - 3/16/17.
Tumuklu O, Pérez JM, Theofilis V, Levin Fliflet D. On linear stability analyses of hypersonic laminar separated flows in a DSMC Framework Part II: Residuals algorithm and the least damped global modes. 2017. Paper presented at 57th Israel Annual Conference on Aerospace Sciences, IACAS 2017, Tel Aviv and Haifa, Israel.
Tumuklu, Ozgur ; Pérez, Jose Miguel ; Theofilis, Vassilis ; Levin Fliflet, Deborah. / On linear stability analyses of hypersonic laminar separated flows in a DSMC Framework Part II : Residuals algorithm and the least damped global modes. Paper presented at 57th Israel Annual Conference on Aerospace Sciences, IACAS 2017, Tel Aviv and Haifa, Israel.
@conference{8e0a78e9f11f4e8dbccc50617f433f64,
title = "On linear stability analyses of hypersonic laminar separated flows in a DSMC Framework Part II: Residuals algorithm and the least damped global modes",
abstract = "Linear global instability analysis of hypersonic laminar separated flows over a double cone and a 'tick' configuration is performed. Statistical analysis of unsteady DSMC data yields the average damping rates of the respective least damped perturbations. The residuals algorithm is then used to predict the converged steady state at a fraction of the DSMC computational effort, as well as identify the amplitude functions of the underlying global modes of shock-dominated laminar separated flow. It is seen that the main flow features, such as the shape and location of the shock, the triple point and the entire laminar separated region, are clearly reflected in the amplitude functions of the global modes. First steps are taken toward self-consistent instability analysis of DSMC-based hypersonic flows, based on linearization of the probability distribution function. The viability of the approach is demonstrated in incompressible global stability analysis computations based on the Lattice Boltzmann method.",
author = "Ozgur Tumuklu and P{\'e}rez, {Jose Miguel} and Vassilis Theofilis and {Levin Fliflet}, Deborah",
year = "2017",
month = "1",
day = "1",
language = "English (US)",
note = "57th Israel Annual Conference on Aerospace Sciences, IACAS 2017 ; Conference date: 15-03-2017 Through 16-03-2017",

}

TY - CONF

T1 - On linear stability analyses of hypersonic laminar separated flows in a DSMC Framework Part II

T2 - Residuals algorithm and the least damped global modes

AU - Tumuklu, Ozgur

AU - Pérez, Jose Miguel

AU - Theofilis, Vassilis

AU - Levin Fliflet, Deborah

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Linear global instability analysis of hypersonic laminar separated flows over a double cone and a 'tick' configuration is performed. Statistical analysis of unsteady DSMC data yields the average damping rates of the respective least damped perturbations. The residuals algorithm is then used to predict the converged steady state at a fraction of the DSMC computational effort, as well as identify the amplitude functions of the underlying global modes of shock-dominated laminar separated flow. It is seen that the main flow features, such as the shape and location of the shock, the triple point and the entire laminar separated region, are clearly reflected in the amplitude functions of the global modes. First steps are taken toward self-consistent instability analysis of DSMC-based hypersonic flows, based on linearization of the probability distribution function. The viability of the approach is demonstrated in incompressible global stability analysis computations based on the Lattice Boltzmann method.

AB - Linear global instability analysis of hypersonic laminar separated flows over a double cone and a 'tick' configuration is performed. Statistical analysis of unsteady DSMC data yields the average damping rates of the respective least damped perturbations. The residuals algorithm is then used to predict the converged steady state at a fraction of the DSMC computational effort, as well as identify the amplitude functions of the underlying global modes of shock-dominated laminar separated flow. It is seen that the main flow features, such as the shape and location of the shock, the triple point and the entire laminar separated region, are clearly reflected in the amplitude functions of the global modes. First steps are taken toward self-consistent instability analysis of DSMC-based hypersonic flows, based on linearization of the probability distribution function. The viability of the approach is demonstrated in incompressible global stability analysis computations based on the Lattice Boltzmann method.

UR - http://www.scopus.com/inward/record.url?scp=85021334541&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021334541&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:85021334541

ER -