Matches in SemOpenAlex for { <https://semopenalex.org/work/W2005722429> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2005722429 endingPage "239" @default.
- W2005722429 startingPage "227" @default.
- W2005722429 abstract "The criterion of linear numerical stability of the combined leap-frog Dufort-Frankel scheme for advective-diffusive problems in two dimensions is κxΔx2+κyΔy2U2κx+V2κyΔt2⩽1, where Δx and Δy are the grid spacings in the x and y directions, U and V the velocity components, κx and κy the diffusion coefficients, and Δt the time step. Although this stability requirement does not depend explicitly on the magnitude of the diffusivity (only on the ratio of the diffusivity coefficients), the presence of the diffusive terms renders the criterion more severe than the one obtained for purely advective problems [(|U|Δx + |V|Δy)Δt ≤ 1]. Only in one dimension are both criteria identical. Therefore, at more than one dimension, the unconditionally stable scheme (Dufort-Frankel) combined with the conditionally stable scheme (leap-frog) leads to the more restrictive stability condition. The maximum allowable time step occurs when the grid spacings in both directions have the same ratio as the square roots of the diffusivity coefficients. A new method is presented for discussing the stability of a finite-difference scheme without actually solving for the modulus of the amplification factor. This method is also extended to more general cases." @default.
- W2005722429 created "2016-06-24" @default.
- W2005722429 creator A5006171263 @default.
- W2005722429 date "1984-02-01" @default.
- W2005722429 modified "2023-10-14" @default.
- W2005722429 title "Analytical, linear stability criteria for the leap-frog, Dufort-Frankel method" @default.
- W2005722429 cites W2069735514 @default.
- W2005722429 cites W2091396910 @default.
- W2005722429 cites W2148445249 @default.
- W2005722429 cites W2165392940 @default.
- W2005722429 doi "https://doi.org/10.1016/0021-9991(84)90039-1" @default.
- W2005722429 hasPublicationYear "1984" @default.
- W2005722429 type Work @default.
- W2005722429 sameAs 2005722429 @default.
- W2005722429 citedByCount "25" @default.
- W2005722429 countsByYear W20057224292018 @default.
- W2005722429 countsByYear W20057224292019 @default.
- W2005722429 crossrefType "journal-article" @default.
- W2005722429 hasAuthorship W2005722429A5006171263 @default.
- W2005722429 hasConcept C105795698 @default.
- W2005722429 hasConcept C112972136 @default.
- W2005722429 hasConcept C114614502 @default.
- W2005722429 hasConcept C119857082 @default.
- W2005722429 hasConcept C121332964 @default.
- W2005722429 hasConcept C134306372 @default.
- W2005722429 hasConcept C135692309 @default.
- W2005722429 hasConcept C203496682 @default.
- W2005722429 hasConcept C2524010 @default.
- W2005722429 hasConcept C2778925954 @default.
- W2005722429 hasConcept C28826006 @default.
- W2005722429 hasConcept C33676613 @default.
- W2005722429 hasConcept C33923547 @default.
- W2005722429 hasConcept C37668627 @default.
- W2005722429 hasConcept C41008148 @default.
- W2005722429 hasConcept C5072599 @default.
- W2005722429 hasConcept C55689738 @default.
- W2005722429 hasConcept C69357855 @default.
- W2005722429 hasConcept C97355855 @default.
- W2005722429 hasConceptScore W2005722429C105795698 @default.
- W2005722429 hasConceptScore W2005722429C112972136 @default.
- W2005722429 hasConceptScore W2005722429C114614502 @default.
- W2005722429 hasConceptScore W2005722429C119857082 @default.
- W2005722429 hasConceptScore W2005722429C121332964 @default.
- W2005722429 hasConceptScore W2005722429C134306372 @default.
- W2005722429 hasConceptScore W2005722429C135692309 @default.
- W2005722429 hasConceptScore W2005722429C203496682 @default.
- W2005722429 hasConceptScore W2005722429C2524010 @default.
- W2005722429 hasConceptScore W2005722429C2778925954 @default.
- W2005722429 hasConceptScore W2005722429C28826006 @default.
- W2005722429 hasConceptScore W2005722429C33676613 @default.
- W2005722429 hasConceptScore W2005722429C33923547 @default.
- W2005722429 hasConceptScore W2005722429C37668627 @default.
- W2005722429 hasConceptScore W2005722429C41008148 @default.
- W2005722429 hasConceptScore W2005722429C5072599 @default.
- W2005722429 hasConceptScore W2005722429C55689738 @default.
- W2005722429 hasConceptScore W2005722429C69357855 @default.
- W2005722429 hasConceptScore W2005722429C97355855 @default.
- W2005722429 hasIssue "2" @default.
- W2005722429 hasLocation W20057224291 @default.
- W2005722429 hasOpenAccess W2005722429 @default.
- W2005722429 hasPrimaryLocation W20057224291 @default.
- W2005722429 hasRelatedWork W1970208896 @default.
- W2005722429 hasRelatedWork W1991376628 @default.
- W2005722429 hasRelatedWork W2008967719 @default.
- W2005722429 hasRelatedWork W2015733608 @default.
- W2005722429 hasRelatedWork W2023596821 @default.
- W2005722429 hasRelatedWork W2080685063 @default.
- W2005722429 hasRelatedWork W2091383165 @default.
- W2005722429 hasRelatedWork W2333496662 @default.
- W2005722429 hasRelatedWork W2365710061 @default.
- W2005722429 hasRelatedWork W2981734143 @default.
- W2005722429 hasVolume "53" @default.
- W2005722429 isParatext "false" @default.
- W2005722429 isRetracted "false" @default.
- W2005722429 magId "2005722429" @default.
- W2005722429 workType "article" @default.