@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},
}

{"_id":"NXseSJn7fMwjXAiGr","bibbaseid":"fernndeznieto-castrodaz-pars-onanintermediatefieldcapturingriemannsolverbasedonaparabolicviscositymatrixforthetwolayershallowwatersystem","author_short":["Fernández Nieto, E. D.","Castro Díaz, M. J.","Parés, C."],"bibdata":{"bibtype":"article","type":"article","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":[{"propositions":[],"lastnames":["Fernández","Nieto"],"firstnames":["E.","D."],"suffixes":[]},{"propositions":[],"lastnames":["Castro","Díaz"],"firstnames":["Manuel","J."],"suffixes":[]},{"propositions":[],"lastnames":["Parés"],"firstnames":["Carlos"],"suffixes":[]}],"date":"2011","bibtex":"@article{fernandez_nieto_intermediate_2011,\n\ttitle = {On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System},\n\tvolume = {48},\n\turl = {http://dx.doi.org/10.1007/s10915-011-9465-7},\n\tabstract = {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.},\n\tpages = {117--140},\n\tnumber = {1},\n\tjournaltitle = {Journal of Scientific Computing},\n\tauthor = {Fernández Nieto, E. D. and Castro Díaz, Manuel J. and Parés, Carlos},\n\tdate = {2011},\n}\n\n","author_short":["Fernández Nieto, E. D.","Castro Díaz, M. J.","Parés, C."],"key":"fernandez_nieto_intermediate_2011","id":"fernandez_nieto_intermediate_2011","bibbaseid":"fernndeznieto-castrodaz-pars-onanintermediatefieldcapturingriemannsolverbasedonaparabolicviscositymatrixforthetwolayershallowwatersystem","role":"author","urls":{"Paper":"http://dx.doi.org/10.1007/s10915-011-9465-7"},"metadata":{"authorlinks":{}}},"bibtype":"article","biburl":"https://www.uma.es/media/files/Elementos_exportados.bib","dataSources":["KcN6LgAsmYzWSF3Th","MGpinsgrS4awXsFeB","YGNRve588gwjqtKtt","9poeKKL33pkAeLXhN"],"keywords":[],"search_terms":["intermediate","field","capturing","riemann","solver","based","parabolic","viscosity","matrix","two","layer","shallow","water","system","fernández nieto","castro díaz","parés"],"title":"On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System","year":null}