Low-dispersion scheme for nonlinear acoustic waves in nonuniform mean flow

Oktay Baysal, Dinesh K. Kaushik, Moumen Idres

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)


The linear dispersion-relation-preserving scheme and its boundary conditions have been extended to the nonlinear Euler equations. This allowed computing, a nonuniform flowfield and a nonlinear acoustic wave propagation in such a medium, by the same scheme. By casting all the equations, boundary conditions, and the solution scheme in generalized curvilinear coordinates, the solutions were made possible for non-Cartesian domains and. for the better deployment of the grid points, nonuniform grid step sizes could be used. It has been tested for a number of simple initial-value and periodic-source problems. A simple demonstration of the difference between a linear and nonlinear propagation was conducted. The wall boundary condition, derived from the momentum equations and implemented through a pressure at a ghost point, and the radiation boundary condition, derived from the asymptotic solution to the Euler equations, have proven to be effective for the nonlinear equations and nonuniform flows. The nonreflective characteristic boundary conditions also have shown success but limited to the nonlinear waves in no mean flow, and failed for nonlinear waves in nonuniform flow.

Original languageEnglish
Title of host publication3rd AIAA/CEAS Aeroacoustics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Number of pages9
Publication statusPublished - 1997
Externally publishedYes
Event3rd AIAA/CEAS Aeroacoustics Conference, 1997 - Atlanta, United States
Duration: 12 May 199714 May 1997


Other3rd AIAA/CEAS Aeroacoustics Conference, 1997
CountryUnited States


ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Aerospace Engineering

Cite this

Baysal, O., Kaushik, D. K., & Idres, M. (1997). Low-dispersion scheme for nonlinear acoustic waves in nonuniform mean flow. In 3rd AIAA/CEAS Aeroacoustics Conference (pp. 10-18). [AIAA-97-1582] American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.1997-1582