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Numerical Speed of Sound and its Application to Schemes for all SpeedsThe concept of "numerical speed of sound" is proposed in the construction of numerical flux. It is shown that this variable is responsible for the accurate resolution of' discontinuities, such as contacts and shocks. Moreover, this concept can he readily extended to deal with low speed and multiphase flows. As a results, the numerical dissipation for low speed flows is scaled with the local fluid speed, rather than the sound speed. Hence, the accuracy is enhanced the correct solution recovered, and the convergence rate improved. We also emphasize the role of mass flux and analyze the behavior of this flux. Study of mass flux is important because the numerical diffusivity introduced in it can be identified. In addition, it is the term common to all conservation equations. We show calculated results for a wide variety of flows to validate the effectiveness of using the numerical speed of sound concept in constructing the numerical flux. We especially aim at achieving these two goals: (1) improving accuracy and (2) gaining convergence rates for all speed ranges. We find that while the performance at high speed range is maintained, the flux now has the capability of performing well even with the low: speed flows. Thanks to the new numerical speed of sound, the convergence is even enhanced for the flows outside of the low speed range. To realize the usefulness of the proposed method in engineering problems, we have also performed calculations for complex 3D turbulent flows and the results are in excellent agreement with data.
Document ID
19990064106
Acquisition Source
Glenn Research Center
Document Type
Reprint (Version printed in journal)
Authors
Liou, Meng-Sing (NASA Glenn Research Center Cleveland, OH United States)
Edwards, Jack R. (North Carolina State Univ. Raleigh, NC United States)
Date Acquired
September 6, 2013
Publication Date
June 1, 1999
Subject Category
Aerodynamics
Report/Patent Number
E-11755
AIAA Paper 99-3268
NAS 1.15:209286
NASA/TM-1999-209286
Meeting Information
Meeting: Computational Fluid Dynamics
Location: Norfolk, VA
Country: United States
Start Date: June 28, 1999
End Date: July 1, 1999
Sponsors: American Inst. of Aeronautics and Astronautics
Funding Number(s)
PROJECT: RTOP 523-26-13
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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