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Assessment of numerical methods for the solution of fluid dynamics equations for nonlinear resonance systemsThe capability of accurate nonlinear flow analysis of resonance systems is essential in many problems, including combustion instability. Classical numerical schemes are either too diffusive or too dispersive especially for transient problems. In the last few years, significant progress has been made in the numerical methods for flows with shocks. The objective was to assess advanced shock capturing schemes on transient flows. Several numerical schemes were tested including TVD, MUSCL, ENO, FCT, and Riemann Solver Godunov type schemes. A systematic assessment was performed on scalar transport, Burgers' and gas dynamic problems. Several shock capturing schemes are compared on fast transient resonant pipe flow problems. A system of 1-D nonlinear hyperbolic gas dynamics equations is solved to predict propagation of finite amplitude waves, the wave steepening, formation, propagation, and reflection of shocks for several hundred wave cycles. It is shown that high accuracy schemes can be used for direct, exact nonlinear analysis of combustion instability problems, preserving high harmonic energy content for long periods of time.
Document ID
19910007815
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Przekwas, A. J.
(Computational Fluid Dynamics Research Corp. Huntsville, AL, United States)
Yang, H. Q.
(Computational Fluid Dynamics Research Corp. Huntsville, AL, United States)
Date Acquired
September 6, 2013
Publication Date
October 1, 1989
Publication Information
Publication: JHU, The 26th JANNAF Combustion Meeting, Volume 2
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
91N17128
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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