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@article{fernandez_nieto_intermediate_2011,
	title = {On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System},
	volume = {48},
	url = {http://dx.doi.org/10.1007/s10915-011-9465-7},
	abstract = {The goal of this article is to design a new approximate Riemann solver for the two-layer shallow water system which is fast compared to Roe schemes and accurate compared to Lax-Friedrichs, {FORCE}, or {GFORCE} schemes (see Castro et al. in Math. Comput. 79:1427–1472, 2010 ). This Riemann solver is based on a suitable decomposition of a Roe matrix (see Toumi in J. Comput. Phys. 102(2):360–373, 1992 ) by means of a parabolic viscosity matrix (see Degond et al. in C. R. Acad. Sci. Paris 1 328:479–483, 1999 ) that captures some information concerning the intermediate characteristic fields. The corresponding first order numerical scheme, which is called {IFCP} (Intermediate Field Capturing Parabola) is linearly L ∞ -stable, well-balanced, and it doesn’t require an entropy-fix technique. Some numerical experiments are presented to compare the behavior of this new scheme with Roe and {GFORCE} methods.},
	pages = {117--140},
	number = {1},
	journaltitle = {Journal of Scientific Computing},
	author = {Fernández Nieto, E. D. and Castro Díaz, Manuel J. and Parés, Carlos},
	date = {2011},
}