{"_id":"CHRWBi4LKEhgxQFCG","bibbaseid":"fernndeznieto-castrodiaz-pars-onanintermediatefieldcapturingriemannsolverbasedonaparabolicviscositymatrixforthetwolayershallowwatersystem-2011","downloads":1,"creationDate":"2017-10-17T11:21:31.956Z","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.","Castro-Díaz, M. J.","Parés, C."],"year":2011,"bibtype":"article","biburl":"http://personal.us.es/edofer/wp-content/uploads/2018/04/BibtexEnrique-1.txt","bibdata":{"bibtype":"article","type":"article","author":[{"propositions":[],"lastnames":["Fernández-Nieto"],"firstnames":["E.","D."],"suffixes":[]},{"propositions":[],"lastnames":["Castro-Díaz"],"firstnames":["M.","J."],"suffixes":[]},{"propositions":[],"lastnames":["Parés"],"firstnames":["C."],"suffixes":[]}],"title":"On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System","journal":"Journal of Scientific Computing","year":"2011","month":"Jul","day":"01","url_paper":"http://hdl.handle.net/11441/32922","volume":"48","number":"1","pages":"117-140","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 8-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.","issn":"1573-7691","doi":"10.1007/s10915-011-9465-7","bibtex":"@Article{FernandezNieto2011,\r\nauthor= {Fern\\'andez-Nieto, E. D. \r\nand Castro-D\\'iaz, M. J. \r\nand Par\\'es, C.},\r\ntitle={On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System},\r\njournal={Journal of Scientific Computing},\r\nyear={2011},\r\nmonth={Jul},\r\nday={01},\r\nurl_Paper = {http://hdl.handle.net/11441/32922},\r\nvolume={48},\r\nnumber={1},\r\npages={117-140},\r\nabstract={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 8-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\nissn={1573-7691},\r\ndoi={10.1007/s10915-011-9465-7},\r\n\r\n}\r\n","author_short":["Fernández-Nieto, E. D.","Castro-Díaz, M. J.","Parés, C."],"key":"FernandezNieto2011","id":"FernandezNieto2011","bibbaseid":"fernndeznieto-castrodiaz-pars-onanintermediatefieldcapturingriemannsolverbasedonaparabolicviscositymatrixforthetwolayershallowwatersystem-2011","role":"author","urls":{" paper":"http://hdl.handle.net/11441/32922"},"metadata":{"authorlinks":{"fernández-nieto, e":"https://bibbase.org/show?bib=http%3A%2F%2Fpersonal.us.es%2Fedofer%2Fwp-content%2Fuploads%2F2018%2F04%2FBibtexEnrique-1.txt&theme=simple"}},"downloads":1,"html":""},"search_terms":["intermediate","field","capturing","riemann","solver","based","parabolic","viscosity","matrix","two","layer","shallow","water","system","fernández-nieto","castro-díaz","parés"],"keywords":[],"authorIDs":["ar6sNvEdeafkwJtxP"],"dataSources":["LFemCBxaBpdSBmEqh"]}