Characteristic boundary conditions for non-orthogonal, moving meshes

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

Abstract

Boundary conditions to the compressible Navier-Stokes equations are developed for the case of deformable, generalized coordinates. The general theory is based on a idea of Halpern [SIAM J. Math. Analy., Vol. 22(5), pp. 1256-1283, 1991] which, in the inviscid case, reduces to standard characteristic treatment and thus logically extends the work of Thompson [J. Comput. Phys., vol. 68, pp. 1-24, 1987], Poinsot & Lele [ibid, vol. 101, pp. 104-129, 1992], and Kim & Lee [AIAA J., vol. 42(1), pp. 47-55, 2004]. The issue of well-posedness is considered. The developed boundary conditions are applicable to fluid problems with moving boundaries in inviscid and viscous fluids. Several verification problems are presented to demonstrate accuracy.

Original languageEnglish (US)
Title of host publication47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781563479694
DOIs
StatePublished - 2009

Publication series

Name47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

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    Bodony, D. J. (2009). Characteristic boundary conditions for non-orthogonal, moving meshes. In 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition [2009-0010] (47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2009-10