TY - GEN
T1 - Characteristic boundary conditions for non-orthogonal, moving meshes
AU - Bodony, Daniel J.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
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U2 - 10.2514/6.2009-10
DO - 10.2514/6.2009-10
M3 - Conference contribution
AN - SCOPUS:78549275806
SN - 9781563479694
T3 - 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition
BT - 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition
PB - American Institute of Aeronautics and Astronautics Inc.
ER -