A numerical jacobian stability solver based on the linearized compressible navier-stokes equations

A. P. Haas; O. M.F. Browne; H. F. Fasel; C. Brehm

A numerical jacobian stability solver based on the linearized compressible navier-stokes equations

A. P. Haas, O. M.F. Browne, H. F. Fasel, C. Brehm

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

11 Scopus citations

Abstract

An efficient linearized compressible Navier-Stokes solver has been developed to conduct laminar-turbulent transition predictions in hypersonic flows. Numerical Jacobians are employed to avoid lengthy, error prone derivation and implementation of the stability equations. Combined with a generalized curvilinear implementation, the approach is directly applicable for stability investigations of complex geometries. The governing equations are discretized in time using time-stepping and time-spectral schemes. The time-spectral method allows to efficiently solve time periodic problems by completely bypassing the initial transients that are often not of interest. In this paper, validation results obtained with the time-stepping and time-spectral schemes are presented for an incompressible temporal shear layer, a supersonic spatial shear layer, hypersonic boundary layers on a at plate and cones (straight and ared) and for a biglobal stability analysis of a cylinder wake. Finally, preliminary results for a cone at angle of attack which is susceptible to cross-flow instability are presented.

Original language	English
Title of host publication	47th AIAA Fluid Dynamics Conference, 2017
State	Published - 2017
Event	47th AIAA Fluid Dynamics Conference, 2017 - Denver, United States Duration: Jun 5 2017 → Jun 9 2017

Publication series

Name	47th AIAA Fluid Dynamics Conference, 2017

Conference

Conference	47th AIAA Fluid Dynamics Conference, 2017
Country/Territory	United States
City	Denver
Period	6/5/17 → 6/9/17

Bibliographical note

Funding Information:
This work was supported by a Phase I Air Force Small Business Innovation Research (SBIR) program with Dr. Eric Marineau serving as program manager. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the U. S. Government.

Publisher Copyright:
© 2017, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.

ASJC Scopus subject areas

Aerospace Engineering
Engineering (miscellaneous)

Cite this

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title = "A numerical jacobian stability solver based on the linearized compressible navier-stokes equations",

abstract = "An efficient linearized compressible Navier-Stokes solver has been developed to conduct laminar-turbulent transition predictions in hypersonic flows. Numerical Jacobians are employed to avoid lengthy, error prone derivation and implementation of the stability equations. Combined with a generalized curvilinear implementation, the approach is directly applicable for stability investigations of complex geometries. The governing equations are discretized in time using time-stepping and time-spectral schemes. The time-spectral method allows to efficiently solve time periodic problems by completely bypassing the initial transients that are often not of interest. In this paper, validation results obtained with the time-stepping and time-spectral schemes are presented for an incompressible temporal shear layer, a supersonic spatial shear layer, hypersonic boundary layers on a at plate and cones (straight and ared) and for a biglobal stability analysis of a cylinder wake. Finally, preliminary results for a cone at angle of attack which is susceptible to cross-flow instability are presented.",

author = "Haas, {A. P.} and Browne, {O. M.F.} and Fasel, {H. F.} and C. Brehm",

note = "Funding Information: This work was supported by a Phase I Air Force Small Business Innovation Research (SBIR) program with Dr. Eric Marineau serving as program manager. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the U. S. Government. Publisher Copyright: {\textcopyright} 2017, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.; 47th AIAA Fluid Dynamics Conference, 2017 ; Conference date: 05-06-2017 Through 09-06-2017",

year = "2017",

language = "English",

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T1 - A numerical jacobian stability solver based on the linearized compressible navier-stokes equations

AU - Haas, A. P.

AU - Browne, O. M.F.

AU - Fasel, H. F.

AU - Brehm, C.

N1 - Funding Information: This work was supported by a Phase I Air Force Small Business Innovation Research (SBIR) program with Dr. Eric Marineau serving as program manager. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the U. S. Government. Publisher Copyright: © 2017, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.

PY - 2017

Y1 - 2017

N2 - An efficient linearized compressible Navier-Stokes solver has been developed to conduct laminar-turbulent transition predictions in hypersonic flows. Numerical Jacobians are employed to avoid lengthy, error prone derivation and implementation of the stability equations. Combined with a generalized curvilinear implementation, the approach is directly applicable for stability investigations of complex geometries. The governing equations are discretized in time using time-stepping and time-spectral schemes. The time-spectral method allows to efficiently solve time periodic problems by completely bypassing the initial transients that are often not of interest. In this paper, validation results obtained with the time-stepping and time-spectral schemes are presented for an incompressible temporal shear layer, a supersonic spatial shear layer, hypersonic boundary layers on a at plate and cones (straight and ared) and for a biglobal stability analysis of a cylinder wake. Finally, preliminary results for a cone at angle of attack which is susceptible to cross-flow instability are presented.

AB - An efficient linearized compressible Navier-Stokes solver has been developed to conduct laminar-turbulent transition predictions in hypersonic flows. Numerical Jacobians are employed to avoid lengthy, error prone derivation and implementation of the stability equations. Combined with a generalized curvilinear implementation, the approach is directly applicable for stability investigations of complex geometries. The governing equations are discretized in time using time-stepping and time-spectral schemes. The time-spectral method allows to efficiently solve time periodic problems by completely bypassing the initial transients that are often not of interest. In this paper, validation results obtained with the time-stepping and time-spectral schemes are presented for an incompressible temporal shear layer, a supersonic spatial shear layer, hypersonic boundary layers on a at plate and cones (straight and ared) and for a biglobal stability analysis of a cylinder wake. Finally, preliminary results for a cone at angle of attack which is susceptible to cross-flow instability are presented.

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M3 - Conference contribution

AN - SCOPUS:85023622806

SN - 9781624105005

T3 - 47th AIAA Fluid Dynamics Conference, 2017

BT - 47th AIAA Fluid Dynamics Conference, 2017

T2 - 47th AIAA Fluid Dynamics Conference, 2017

Y2 - 5 June 2017 through 9 June 2017

ER -

A numerical jacobian stability solver based on the linearized compressible navier-stokes equations

Abstract

Publication series

Conference

Bibliographical note

ASJC Scopus subject areas

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Cite this