Abstract
This chapter is aimed at knowing the different types of solutions of hyperbolic conservation laws as well as some examples. The study of these solutions will allow us to identify the difficulties that the numerical methods should overcome in order to approximate them. Hence, we will better understand and implement different numerical methods, such as Godunov’s method. The solutions of the hyperbolic conservation laws will also be used in the analysis and validation of the different numerical methods.
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Notes
- 1.
The slopes are the inverse of \(\lambda \), we represent them in the \(xt\) plane and calculate \({\displaystyle \frac{dx}{dt}}\).
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© 2015 Springer International Publishing Switzerland
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Vázquez-Cendón, M.E. (2015). Types of Solutions to Hyperbolic Systems of Conservation Laws. In: Solving Hyperbolic Equations with Finite Volume Methods. UNITEXT(), vol 90. Springer, Cham. https://doi.org/10.1007/978-3-319-14784-0_3
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DOI: https://doi.org/10.1007/978-3-319-14784-0_3
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-14783-3
Online ISBN: 978-3-319-14784-0
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