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On High-Order Upwind Methods for AdvectionScheme III (piecewise linear) and V (piecewise parabolic) of Van Leer are shown to yield identical solutions provided the initial conditions are chosen in an appropriate manner. This result is counter intuitive since it is generally believed that piecewise linear and piecewise parabolic methods cannot produce the same solutions due to their different degrees of approximation. The result also shows a key connection between the approaches of discontinuous and continuous representations.
Document ID
20170008462
Acquisition Source
Glenn Research Center
Document Type
Technical Memorandum (TM)
Authors
Huynh, Hung T.
(NASA Glenn Research Center Cleveland, OH United States)
Date Acquired
September 5, 2017
Publication Date
August 1, 2017
Subject Category
Fluid Mechanics And Thermodynamics
Aeronautics (General)
Report/Patent Number
GRC-E-DAA-TN44177
AIAA Paper 2017-3093
NASA/TM-2017-219535
E-19393
Meeting Information
Meeting: AIAA Computational Fluid Dynamics Conference
Location: Denver, CO
Country: United States
Start Date: June 5, 2017
End Date: June 9, 2017
Sponsors: American Inst. of Aeronautics and Astronautics
Funding Number(s)
WBS: WBS 109492.02.03.01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
Keywords
high-order methods
convention equation
upwind schemes
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