A variant of the method of characteristics

  • Mario Šayar University of Zagreb
  • Zdravko Virag University of Zagreb
  • Radoslav Korbar Polytechnics of Karlovac

Abstract

A variant of the method of characteristics for hyperbolic conservation laws is proposed in this paper. It is based on the time interpolation instead of space interpolation as in the standard method of characteristics. A new method for calculating the propagation velocity is proposed as well. The numerical results of some presented typical tests indicate that algorithm is very accurate.

Keywords

References

[1] J .A. Fox. Hydraulic Analysis of Unsteady Flow in pipe Networks. The MacMillan Press, London, 1997.
[2] C. Hirsch. Numerical Computation of Internal and External Flow. John Wiley and Sons, New York, 1990.
[3] G.A. Sod. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. Journal of Computational Physics, 27: 1- 31, 1978.
[4] G.B. Whitam. Linear and Nonlinear Waves. John Wiley and Sons, New York, 1974.
Published
Feb 20, 2023
How to Cite
ŠAYAR, Mario; VIRAG, Zdravko; KORBAR, Radoslav. A variant of the method of characteristics. Computer Assisted Methods in Engineering and Science, [S.l.], v. 9, n. 4, p. 543-553, feb. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1117>. Date accessed: 14 nov. 2024.
Citation Formats
Issue
Vol 9 No 4 (2002)
Section
Articles
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