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Least-squares finite element methods for compressible Euler equationsA method based on backward finite differencing in time and a least-squares finite element scheme for first-order systems of partial differential equations in space is applied to the Euler equations for gas dynamics. The scheme minimizes the L-sq-norm of the residual within each time step. The method naturally generates numerical dissipation proportional to the time step size. An implicit method employing linear elements has been implemented and proves robust. For high-order elements, computed solutions based on the L-sq method may have oscillations for calculations at similar time step sizes. To overcome this difficulty, a scheme which minimizes the weighted H1-norm of the residual is proposed and leads to a successful scheme with high-degree elements. Finally, a conservative least-squares finite element method is also developed. Numerical results for two-dimensional problems are given to demonstrate the shock resolution of the methods and compare different approaches.
Document ID
19900063958
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Jiang, Bo-Nan
(NASA Lewis Research Center Cleveland, OH, United States)
Carey, G. F.
(Texas, University Austin, United States)
Date Acquired
August 14, 2013
Publication Date
April 1, 1990
Publication Information
Publication: International Journal for Numerical Methods in Fluids
Volume: 10
ISSN: 0271-2091
Subject Category
Aerodynamics
Accession Number
90A51013
Distribution Limits
Public
Copyright
Other

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