This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
M. Castro, M., Macias, J., Pares, C.: A Q-scheme for a class of systems of coupled conservation laws with source terms. Application to a two-layer 1-D shallow water system, Mathematical Modelling and Numerical Analysis (M2AN), 35, 107–127 (2001)
Chapman, S., Cowling, T.G.: The Mathematical Theory of Nonuniform Gases, Cambridge Univ. Press, 3rd Edition, (1970)
Chen, G.-Q., Levermore, D., Liu, T.-P.: Hyperbolic conservation laws with stiff relaxation terms and entropy, Comm. Pure Appl. Math., 47, 787–830 (1994)
Jin, S., Xin, Z.: The relaxation scheme for systems of conservation laws in arbitrary space dimensions, Comm. Pure Appl. Math., 48, 235–276 (1995)
Long, R.R.: Long waves in a two-fluid system, J. Met., 13, 70–74 (1956)
Roe, P.L.: Approximate Riemann solvers, parameter vectors and difference schemes, J. Comp. Phys., 43, 357–372 (1981)
Roe, P.L.: Upwind differencing schemes for hyperbolic conservation laws with source terms, Lecture Notes in Math., 1270, 41–51, Springer, Berlin (1987)
Schijf, J.B., Schonfeld J.C.: Theoretical considerations on the motion of salt and fresh water, Proc. of the Minn. Int. Hydraulics Conv., Joint meeting IAHR and Hyd. Div. ASCE. September 1953, 321–333 (1953)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Abgrall, R., Karni, S. (2008). A Relaxation Scheme for the Two-Layer Shallow Water System. In: Benzoni-Gavage, S., Serre, D. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75712-2_11
Download citation
DOI: https://doi.org/10.1007/978-3-540-75712-2_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75711-5
Online ISBN: 978-3-540-75712-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)