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  • NUMERICAL ANALYSIS  (1)
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  • NUMERICAL ANALYSIS  (1)
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    A geometric approach to high resolution TVD schemes (1984)
    In:  CASI
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    Publication Date: 2019-06-28
    Description: A geometric approach, similar to Van Leer's MUSCL schemes, is used to construct a second-order accurate generalization of Godunov's method for solving scalar conservation laws. By making suitable approximations, a scheme is obtained which is easy to implement and total variation diminishing. The entropy condition is also investigated from the standpoint of the spreading of rarefaction waves. Quantitative information is obtained for Godunov's method on the rate of spreading which explain the kinks in rarefaction waves often observed at the sonic point.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-172484 , NAS 1.26:172484 , ICASE-84-55
    Format: application/pdf
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