Assessment of Total Variation Diminishing schemes in combustion instability problemsNumerical simulations of acoustic waves in a shear layer and in an idealized combustion chamber using high resolution Total Variation Diminishing (TVD) schemes has been carried out to study the effects of inherent scheme dissipation and dispersion errors of this class of problems. The numerical results are compared against available exact solutions to quantify these errors. Several popular TVD limiters widely used in the Computational Fluid Dynamics (CFD) community have been assessed. Osher-Chakravarthy limiters are modified so that they can be used in explicit schemes. Among all the limiters investigated, Osher-Chakravarthy third-order limiter is identified as having performed the best. It is also found that all TVD schemes have exceptionally small dispersive errors.
Document ID
19930038564
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Wang, Z. J. (NASA Marshall Space Flight Center Huntsville, AL, United States)
Yang, H. Q. (NASA Marshall Space Flight Center Huntsville, AL, United States)
Przekwas, A. J. (CFD Research Corp. Huntsville, AL, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Subject Category
Propellants And Fuels
Report/Patent Number
AIAA PAPER 93-0111
Meeting Information
Meeting: AIAA, Aerospace Sciences Meeting and Exhibit