A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows. Bouchut, F. & Morales de Luna, T. SIAM Journal on Numerical Analysis, 48(5):1733–1758, 2010.
Paper doi abstract bibtex We consider the Saint-Venant system for shallow water flows with non-flat bottom. In the past years, efficient well-balanced methods have been proposed in order to well resolve solutions close to steady states at rest. Here we describe a strategy based on a local subsonic steady-state reconstruction that allows to derive a subsonic-well-balanced scheme, preserving exactly all the subsonic steady states. It generalizes the now wellknown hydrostatic solver, and as the latter it preserves nonnegativity of water height and satisfies a semi-discrete entropy inequality. An application to the Euler-Poisson system is proposed.
@Article{bouchut2010subsonic,
Title = {A {Subsonic-Well-Balanced} Reconstruction Scheme for Shallow Water Flows},
Author = {Bouchut, Francois and Morales de Luna, Tomas},
Journal = {{SIAM} Journal on Numerical Analysis},
Year = {2010},
Number = {5},
Pages = {1733--1758},
Volume = {48},
Abstract = {We consider the Saint-Venant system for shallow water flows with non-flat bottom. In the past years, efficient well-balanced methods have been proposed in order to well resolve solutions close to steady states at rest. Here we describe a strategy based on a local subsonic steady-state reconstruction that allows to derive a subsonic-well-balanced scheme, preserving exactly all the subsonic steady states. It generalizes the now wellknown hydrostatic solver, and as the latter it preserves nonnegativity of water height and satisfies a semi-discrete entropy inequality. An application to the Euler-Poisson system is proposed.},
Category = {MATHEMATICS, APPLIED},
Comment = {�ndice de impacto: 1.664, Num. revistas en cat.: 236, Revista dentro del 25%: S�, Categor�a: MATHEMATICS, APPLIED, Fuente de impacto: WOS (JCR), Posici�n: 24},
Doi = {10.1137/090758416},
File = {:bouchut2010subsonic-well-balanced.pdf:PDF},
Impactfactor = {1.664},
ISSN = {00361429},
Keywords = {shallow water, subsonic reconstruction, subsonic steady states, well-balanced scheme, semi-discrete entropy inequality},
Position = {24},
Revincat = {236},
Url = {http://link.aip.org/link/SJNAAM/v48/i5/p1733/s1&Agg=doi}
}
Downloads: 0
{"_id":"vGAnZ4wEJ7Tv6nYjZ","bibbaseid":"bouchut-moralesdeluna-asubsonicwellbalancedreconstructionschemeforshallowwaterflows-2010","title":"A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows","author_short":["Bouchut, F.","Morales de Luna, T."],"year":2010,"bibtype":"article","biburl":"http://www.uco.es/~ma1molut/morales.bib","bibdata":{"bibtype":"article","type":"article","title":"A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows","author":[{"propositions":[],"lastnames":["Bouchut"],"firstnames":["Francois"],"suffixes":[]},{"propositions":["Morales","de"],"lastnames":["Luna"],"firstnames":["Tomas"],"suffixes":[]}],"journal":"SIAM Journal on Numerical Analysis","year":"2010","number":"5","pages":"1733–1758","volume":"48","abstract":"We consider the Saint-Venant system for shallow water flows with non-flat bottom. In the past years, efficient well-balanced methods have been proposed in order to well resolve solutions close to steady states at rest. Here we describe a strategy based on a local subsonic steady-state reconstruction that allows to derive a subsonic-well-balanced scheme, preserving exactly all the subsonic steady states. It generalizes the now wellknown hydrostatic solver, and as the latter it preserves nonnegativity of water height and satisfies a semi-discrete entropy inequality. An application to the Euler-Poisson system is proposed.","category":"MATHEMATICS, APPLIED","comment":"�ndice de impacto: 1.664, Num. revistas en cat.: 236, Revista dentro del 25%: S�, Categor�a: MATHEMATICS, APPLIED, Fuente de impacto: WOS (JCR), Posici�n: 24","doi":"10.1137/090758416","file":":bouchut2010subsonic-well-balanced.pdf:PDF","impactfactor":"1.664","issn":"00361429","keywords":"shallow water, subsonic reconstruction, subsonic steady states, well-balanced scheme, semi-discrete entropy inequality","position":"24","revincat":"236","url":"http://link.aip.org/link/SJNAAM/v48/i5/p1733/s1&Agg=doi","bibtex":"@Article{bouchut2010subsonic,\n Title = {A {Subsonic-Well-Balanced} Reconstruction Scheme for Shallow Water Flows},\n Author = {Bouchut, Francois and Morales de Luna, Tomas},\n Journal = {{SIAM} Journal on Numerical Analysis},\n Year = {2010},\n Number = {5},\n Pages = {1733--1758},\n Volume = {48},\n\n Abstract = {We consider the Saint-Venant system for shallow water flows with non-flat bottom. In the past years, efficient well-balanced methods have been proposed in order to well resolve solutions close to steady states at rest. Here we describe a strategy based on a local subsonic steady-state reconstruction that allows to derive a subsonic-well-balanced scheme, preserving exactly all the subsonic steady states. It generalizes the now wellknown hydrostatic solver, and as the latter it preserves nonnegativity of water height and satisfies a semi-discrete entropy inequality. An application to the Euler-Poisson system is proposed.},\n Category = {MATHEMATICS, APPLIED},\n Comment = {�ndice de impacto: 1.664, Num. revistas en cat.: 236, Revista dentro del 25%: S�, Categor�a: MATHEMATICS, APPLIED, Fuente de impacto: WOS (JCR), Posici�n: 24},\n Doi = {10.1137/090758416},\n File = {:bouchut2010subsonic-well-balanced.pdf:PDF},\n Impactfactor = {1.664},\n ISSN = {00361429},\n Keywords = {shallow water, subsonic reconstruction, subsonic steady states, well-balanced scheme, semi-discrete entropy inequality},\n Position = {24},\n Revincat = {236},\n Url = {http://link.aip.org/link/SJNAAM/v48/i5/p1733/s1&Agg=doi}\n}\n\n","author_short":["Bouchut, F.","Morales de Luna, T."],"key":"bouchut2010subsonic","id":"bouchut2010subsonic","bibbaseid":"bouchut-moralesdeluna-asubsonicwellbalancedreconstructionschemeforshallowwaterflows-2010","role":"author","urls":{"Paper":"http://link.aip.org/link/SJNAAM/v48/i5/p1733/s1&Agg=doi"},"keyword":["shallow water","subsonic reconstruction","subsonic steady states","well-balanced scheme","semi-discrete entropy inequality"],"metadata":{"authorlinks":{"morales de luna, t":"https://bibbase.org/show?bib=http%3A%2F%2Fwww.uco.es%2F%7Ema1molut%2Fmorales.bib&theme=simple"}}},"search_terms":["subsonic","well","balanced","reconstruction","scheme","shallow","water","flows","bouchut","morales de luna"],"keywords":["shallow water","subsonic reconstruction","subsonic steady states","well-balanced scheme","semi-discrete entropy inequality"],"authorIDs":["9aGyuQQGPpD8hSE8h"],"dataSources":["yN9P3cwTmyLBqLYsP","3JTHNdbCwFwtr9YyG","hpo4NBzrFaStcKS6z","NWWpJWWcpEiCgSNQB","pLaL5rYzWMf7bTeYm","pgrvhZxwMgj4EDTEA"]}