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

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

11 Scopus citations


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 languageEnglish
Title of host publication47th AIAA Fluid Dynamics Conference, 2017
StatePublished - 2017
Event47th AIAA Fluid Dynamics Conference, 2017 - Denver, United States
Duration: Jun 5 2017Jun 9 2017

Publication series

Name47th AIAA Fluid Dynamics Conference, 2017


Conference47th AIAA Fluid Dynamics Conference, 2017
Country/TerritoryUnited States

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)


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