Matches in SemOpenAlex for { <https://semopenalex.org/work/W2053112652> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W2053112652 endingPage "694" @default.
- W2053112652 startingPage "660" @default.
- W2053112652 abstract "In this paper, we study a number of multilevel schemes for the numerical solution of the shallow water equations; new schemes and new perspectives of known schemes are examined. We consider the case of periodic boundary conditions. Spatial discretization is obtained using a Fourier spectral Galerkin method. For the time integration, two strategies are studied. The first one is based on scale separation, and we choose the time scheme (explicit or semi-implicit) as a function of the spatial scales (multilevel schemes). The second approach is based on a splitting of the operators, and we choose the time integration method as a function of the operator considered (multistep or fractional schemes). The numerical results obtained are compared with the explicit reference scheme (Leap-Frog scheme), and with the semi-implicit scheme (Leap-Frog scheme with Crank-Nicholson scheme for the gravity terms), both computed with a similar mesh. The drawback of the explicit reference scheme being the numerical stability constraint on the time step, and the drawback of the semi-implicit scheme being the dispersive error, the aim with the new schemes is to obtain schemes with less dispersive error than the semi-implicit scheme, and with better stability properties than the explicit reference scheme. The numerical results obtained show that the schemes proposed allow one to reduce the dispersive error and to increase the numerical stability at reduced cost." @default.
- W2053112652 created "2016-06-24" @default.
- W2053112652 creator A5005412926 @default.
- W2053112652 creator A5010511524 @default.
- W2053112652 creator A5074156162 @default.
- W2053112652 creator A5080043171 @default.
- W2053112652 date "2005-08-01" @default.
- W2053112652 modified "2023-10-13" @default.
- W2053112652 title "Multilevel schemes for the shallow water equations" @default.
- W2053112652 cites W1967985376 @default.
- W2053112652 cites W1975514744 @default.
- W2053112652 cites W1976886580 @default.
- W2053112652 cites W1979026536 @default.
- W2053112652 cites W1979962982 @default.
- W2053112652 cites W2003297571 @default.
- W2053112652 cites W2026392121 @default.
- W2053112652 cites W2050962398 @default.
- W2053112652 cites W2053797583 @default.
- W2053112652 cites W2056318444 @default.
- W2053112652 cites W2065313958 @default.
- W2053112652 cites W2072082455 @default.
- W2053112652 cites W2075842486 @default.
- W2053112652 cites W2078530397 @default.
- W2053112652 cites W2088521789 @default.
- W2053112652 cites W2107906987 @default.
- W2053112652 cites W2120716295 @default.
- W2053112652 cites W2131933511 @default.
- W2053112652 cites W2139719657 @default.
- W2053112652 cites W2143575988 @default.
- W2053112652 cites W2158857901 @default.
- W2053112652 cites W2163943717 @default.
- W2053112652 cites W2167131524 @default.
- W2053112652 cites W2174146619 @default.
- W2053112652 cites W2175204421 @default.
- W2053112652 cites W2175753984 @default.
- W2053112652 cites W2176061882 @default.
- W2053112652 cites W2523925953 @default.
- W2053112652 cites W270258950 @default.
- W2053112652 cites W83779025 @default.
- W2053112652 doi "https://doi.org/10.1016/j.jcp.2005.01.025" @default.
- W2053112652 hasPublicationYear "2005" @default.
- W2053112652 type Work @default.
- W2053112652 sameAs 2053112652 @default.
- W2053112652 citedByCount "17" @default.
- W2053112652 countsByYear W20531126522013 @default.
- W2053112652 countsByYear W20531126522014 @default.
- W2053112652 countsByYear W20531126522017 @default.
- W2053112652 countsByYear W20531126522018 @default.
- W2053112652 countsByYear W20531126522021 @default.
- W2053112652 crossrefType "journal-article" @default.
- W2053112652 hasAuthorship W2053112652A5005412926 @default.
- W2053112652 hasAuthorship W2053112652A5010511524 @default.
- W2053112652 hasAuthorship W2053112652A5074156162 @default.
- W2053112652 hasAuthorship W2053112652A5080043171 @default.
- W2053112652 hasConcept C111368507 @default.
- W2053112652 hasConcept C127313418 @default.
- W2053112652 hasConcept C134306372 @default.
- W2053112652 hasConcept C140295346 @default.
- W2053112652 hasConcept C186348155 @default.
- W2053112652 hasConcept C28826006 @default.
- W2053112652 hasConcept C33923547 @default.
- W2053112652 hasConcept C39432304 @default.
- W2053112652 hasConceptScore W2053112652C111368507 @default.
- W2053112652 hasConceptScore W2053112652C127313418 @default.
- W2053112652 hasConceptScore W2053112652C134306372 @default.
- W2053112652 hasConceptScore W2053112652C140295346 @default.
- W2053112652 hasConceptScore W2053112652C186348155 @default.
- W2053112652 hasConceptScore W2053112652C28826006 @default.
- W2053112652 hasConceptScore W2053112652C33923547 @default.
- W2053112652 hasConceptScore W2053112652C39432304 @default.
- W2053112652 hasIssue "2" @default.
- W2053112652 hasLocation W20531126521 @default.
- W2053112652 hasOpenAccess W2053112652 @default.
- W2053112652 hasPrimaryLocation W20531126521 @default.
- W2053112652 hasRelatedWork W2031283907 @default.
- W2053112652 hasRelatedWork W2081614800 @default.
- W2053112652 hasRelatedWork W2355792449 @default.
- W2053112652 hasRelatedWork W2503622847 @default.
- W2053112652 hasRelatedWork W2555668256 @default.
- W2053112652 hasRelatedWork W2606265764 @default.
- W2053112652 hasRelatedWork W3120568560 @default.
- W2053112652 hasRelatedWork W31689330 @default.
- W2053112652 hasRelatedWork W2336514746 @default.
- W2053112652 hasRelatedWork W4289108923 @default.
- W2053112652 hasVolume "207" @default.
- W2053112652 isParatext "false" @default.
- W2053112652 isRetracted "false" @default.
- W2053112652 magId "2053112652" @default.
- W2053112652 workType "article" @default.