Castro Díaz, Manuel JesúsFernández Nieto, Enrique DomingoFerreiro Ferreiro, Ana MaríaGarcía Rodríguez, José AntonioParés Madroñal, Carlos2016-01-202016-01-202009Castro Díaz, M.J., Fernández Nieto, E.D., Ferreiro Ferreiro, A.M., García Rodríguez, J.A. y Parés Madroñal, C. (2009). High order extensions of Roe schemes for two dimensional nonconservative hyperbolic systems.0885-7474http://hdl.handle.net/11441/32917This paper is concerned with the development of well-balanced high order Roe methods for two-dimensional nonconservative hyperbolic systems. In particular, we are interested in extending the methods introduced in [3] to the two-dimensional case. We also investigate the well-balance properties and the consistency of the resulting schemes. We focus in applications to one and two layer shallow water systemsapplication/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Generalized Roe Schemes2d nonconservative hyperbolic systemsnonconservative productsfinite volume schemesconservation lawssource termsShallow Water systemstwo-layer problemsgeophysical flowsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s10915-008-9250-4