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Generalized characteristic boundary conditions for computational aeroacoustics

Generalized characteristic boundary conditions for computational aeroacoustics
Generalized characteristic boundary conditions for computational aeroacoustics
An extended conservative formalism of the characteristic boundary conditions is presented on the basis of the generalized coordinates for practical computational aeroacoustics. The formalism is derived for solving the entire conservative form of the compressible Euler or Navier–Stokes equations on the body-fitted grid mesh system by using the high-order and high-resolution numerical schemes. It includes the matrices of transformation between the conservative and the characteristic variables, which were already derived in the literature to analyze the eigenvalue–eigenvector modes in an arbitrary direction. The conservation-form governing equations with their full terms are solved at the boundaries, and no kind of extrapolation or simplification of the equations is included in this formalism. Additional correction terms are devised to preserve the conservative form of flux derivative terms in the generalized coordinates. Especially, the soft inflow conditions are presented to keep the nonreflecting features, as well as to maintain the mean value of inflow velocity at the inlet boundary. These boundary conditions are applied to the actual computation of two-dimensional viscous cylinder inflows with Reynolds number of 400 on the grid meshes clustered on the cylinder surface and the downstream region. The Strouhal number due to von Karman vortex streets, root-mean-square lift coefficient, andmean drag coefficient are evaluated correctly in comparison with experimental data. The far-field sound pressure levels are measured directly in this computation, and the accuracy is validated by an analytic formula derived in the literature.
0001-1452
2040-2049
Kim, J.W.
fedabfc6-312c-40fd-b0c1-7b4a3ca80987
Lee, D.J.
07e9aeba-8cdd-4476-bd03-b936bc2ca8c1
Kim, J.W.
fedabfc6-312c-40fd-b0c1-7b4a3ca80987
Lee, D.J.
07e9aeba-8cdd-4476-bd03-b936bc2ca8c1

Kim, J.W. and Lee, D.J. (2000) Generalized characteristic boundary conditions for computational aeroacoustics. AIAA Journal, 38 (11), 2040-2049.

Record type: Article

Abstract

An extended conservative formalism of the characteristic boundary conditions is presented on the basis of the generalized coordinates for practical computational aeroacoustics. The formalism is derived for solving the entire conservative form of the compressible Euler or Navier–Stokes equations on the body-fitted grid mesh system by using the high-order and high-resolution numerical schemes. It includes the matrices of transformation between the conservative and the characteristic variables, which were already derived in the literature to analyze the eigenvalue–eigenvector modes in an arbitrary direction. The conservation-form governing equations with their full terms are solved at the boundaries, and no kind of extrapolation or simplification of the equations is included in this formalism. Additional correction terms are devised to preserve the conservative form of flux derivative terms in the generalized coordinates. Especially, the soft inflow conditions are presented to keep the nonreflecting features, as well as to maintain the mean value of inflow velocity at the inlet boundary. These boundary conditions are applied to the actual computation of two-dimensional viscous cylinder inflows with Reynolds number of 400 on the grid meshes clustered on the cylinder surface and the downstream region. The Strouhal number due to von Karman vortex streets, root-mean-square lift coefficient, andmean drag coefficient are evaluated correctly in comparison with experimental data. The far-field sound pressure levels are measured directly in this computation, and the accuracy is validated by an analytic formula derived in the literature.

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Published date: 2000
Organisations: Aerodynamics & Flight Mechanics

Identifiers

Local EPrints ID: 23042
URI: http://eprints.soton.ac.uk/id/eprint/23042
ISSN: 0001-1452
PURE UUID: 7abcff2f-13cd-4a67-9bf2-cd021f6ec1b0
ORCID for J.W. Kim: ORCID iD orcid.org/0000-0003-0476-2574

Catalogue record

Date deposited: 02 Feb 2007
Last modified: 21 May 2021 01:40

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