NASA NTRS · 19900032339
Comparison of several finite-difference methods
Abstract
The present numerical study establishes that, with the MacCormack and 'two-four' methods, the solution accuracy obtainable in problems involving wave propagation, shock-wave and contact discontinuities, and viscous effects, will be strongly dependent on Courant number. The application of flux correction to the MacCormack and two-four methods is noted to significantly attenuate dispersion errors; the ensuing solutions capture the discontinuities in the shock-tube problem with improved accuracy and resolution, and are free of dispersion errors for the viscous Burgers' equation.
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Biringen, S., Saati, A.. 1990-01-01. Comparison of several finite-difference methods. https://ntrs.nasa.gov/citations/19900032339
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