Generalized cylindrical coordinates for characteristic boundary conditions and characteristic interface conditions
Generalized cylindrical coordinates for characteristic boundary conditions and characteristic interface conditions
The aim of this report is to derive generalized coordinates for the specific case of mapping only the streamwise and radial coordinate of a cylindrical coordinate system, while leaving the azimuthal coordinate unchanged. The characteristic equations and the required matrices for the transformation from conservative to characteristic form are presented for this specific case. All equations and procedures are based on previous work on generalized characteristic boundary conditions (Kim & Lee, 2000) and characteristic interface conditions (Kim & Lee, 2003).
University of Southampton
Sandberg, Richard D.
41d03f60-5d12-4f2d-a40a-8ff89ef01cfa
November 2009
Sandberg, Richard D.
41d03f60-5d12-4f2d-a40a-8ff89ef01cfa
Sandberg, Richard D.
(2009)
Generalized cylindrical coordinates for characteristic boundary conditions and characteristic interface conditions
(School of Engineering Sciences Aerodynamics & Flight Mechanics Group AFM Reports, AFM 09/02)
Southampton, UK.
University of Southampton
8pp.
Record type:
Monograph
(Project Report)
Abstract
The aim of this report is to derive generalized coordinates for the specific case of mapping only the streamwise and radial coordinate of a cylindrical coordinate system, while leaving the azimuthal coordinate unchanged. The characteristic equations and the required matrices for the transformation from conservative to characteristic form are presented for this specific case. All equations and procedures are based on previous work on generalized characteristic boundary conditions (Kim & Lee, 2000) and characteristic interface conditions (Kim & Lee, 2003).
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AFM-09-02.pdf
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Published date: November 2009
Organisations:
Aerodynamics & Flight Mechanics
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Local EPrints ID: 69509
URI: http://eprints.soton.ac.uk/id/eprint/69509
PURE UUID: 9733e451-8a67-44c2-b1e4-d0ec4d1c2911
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Date deposited: 13 Nov 2009
Last modified: 13 Mar 2024 19:35
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Author:
Richard D. Sandberg
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