A variant of the method of characteristics
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.
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.
[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
2023-02-20
Issue
pp. 543-553
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Šayar, M., Virag, Z., & Korbar, R. (2023). A variant of the method of characteristics. Computer Assisted Methods in Engineering and Science, 9(4), 543-553. https://cames3.ippt.pan.pl/index.php/cames/article/view/1117
