NASA NTRS · 19870026823
A one-dimensional shock capturing finite element method and multi-dimensional generalizations
Abstract
Multi-dimensional generalizations of a one-dimensional finite element shock capturing scheme are proposed. A scalar model problem is used to emphasize that 'preferred directions' are important in multi-dimensional applications. Schemes are developed for the two-dimensional Euler equations. One, based upon characteristics, employs the Mach lines and streamlines as preferred directions.
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Hughes, T. J. R., Mallet, M., Zanutta, R., Taki, Y., Tezduyar, T. E.. 1985-01-01. A one-dimensional shock capturing finite element method and multi-dimensional generalizations. https://ntrs.nasa.gov/citations/19870026823
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