{"_id":"XweCRPuXmaCoQ9ZBf","bibbaseid":"fernndeznieto-diaz-pars-onanintermediatefieldcapturingriemannsolverbasedonaparabolicviscositymatrixforthetwolayershallowwatersystem-2011","title":"On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System","author_short":["Fernández Nieto, E. D.","Díaz, Manuel J., C.","Parés, C."],"year":2011,"bibtype":"article","biburl":"https://www.uma.es/media/files/EdanyaBiB_KHQoaUU.bib","bibdata":{"bibtype":"article","type":"article","author":[{"propositions":[],"lastnames":["Fernández","Nieto"],"firstnames":["E.","D."],"suffixes":[]},{"firstnames":["Castro"],"propositions":[],"lastnames":["Díaz, Manuel J."],"suffixes":[]},{"propositions":[],"lastnames":["Parés"],"firstnames":["Carlos"],"suffixes":[]}],"journal":"Journal of Scientific Computing","title":"On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System","year":"2011","number":"1","pages":"117-140","volume":"48","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.","url":"http://dx.doi.org/10.1007/s10915-011-9465-7","bibtex":"@Article{FernandezNieto2011,\r\n author = {Fern{\\'a}ndez Nieto, E. D. and Castro D{\\'i}az, Manuel J. and Par{\\'e}s, Carlos},\r\n journal = {Journal of Scientific Computing},\r\n title = {{O}n an {I}ntermediate {F}ield {C}apturing {R}iemann {S}olver {B}ased on a {P}arabolic {V}iscosity {M}atrix for the {T}wo-{L}ayer {S}hallow {W}ater {S}ystem},\r\n year = {2011},\r\n number = {1},\r\n pages = {117-140},\r\n volume = {48},\r\n 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.},\r\n url = {http://dx.doi.org/10.1007/s10915-011-9465-7},\r\n}\r\n\r\n","author_short":["Fernández Nieto, E. D.","Díaz, Manuel J., C.","Parés, C."],"key":"FernandezNieto2011","id":"FernandezNieto2011","bibbaseid":"fernndeznieto-diaz-pars-onanintermediatefieldcapturingriemannsolverbasedonaparabolicviscositymatrixforthetwolayershallowwatersystem-2011","role":"author","urls":{"Paper":"http://dx.doi.org/10.1007/s10915-011-9465-7"},"metadata":{"authorlinks":{"parés, c":"https://bibbase.org/show?bib=https%3A%2F%2Fwww.uma.es%2Fmedia%2Ffiles%2FElementos_exportados.bib&commas=true","díaz, manuel j":"https://bibbase.org/show?bib=https%3A%2F%2Fedanya.uma.es%2Fedanya.bib&filter=authors:Asunci%C3%B3n"}}},"search_terms":["intermediate","field","capturing","riemann","solver","based","parabolic","viscosity","matrix","two","layer","shallow","water","system","fernández nieto","díaz","parés"],"keywords":[],"authorIDs":["QYMSYzxxDaip9XbSu","ueAQbLGFhD4oQXS5e"],"dataSources":["pLaL5rYzWMf7bTeYm","yN9P3cwTmyLBqLYsP","hpo4NBzrFaStcKS6z","NWWpJWWcpEiCgSNQB","pgrvhZxwMgj4EDTEA"]}