Matches in SemOpenAlex for { <https://semopenalex.org/work/W1978010757> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W1978010757 endingPage "40" @default.
- W1978010757 startingPage "23" @default.
- W1978010757 abstract "Abstract For classical solutions of the incompressible Navier-Stokes equations (NSE) the energybalance between kinetic energy, work done by external forces, and viscous dissipation holds rigorously true. It is shown in this paper that standard Galerkin approximations violate energy balance in the case of plane Couette flow, whereas Poiseuille flow turns out to be energy consistent at any cutoff. The main reason for this discrepancy is seen in the different boundary conditions between the stationary linear shear flow and its disturbances. In our analysis, essentially, we introduce an auxiliary external force field which enforces the finite dimensional Galerkin approximation to fulfil the NSE. It is exemplarily demonstrated how the energy discrepancy decreases when the number of disturbed modes is increased which couple to the stationary shear flow." @default.
- W1978010757 created "2016-06-24" @default.
- W1978010757 creator A5008700747 @default.
- W1978010757 creator A5046877915 @default.
- W1978010757 creator A5054860764 @default.
- W1978010757 date "2004-08-01" @default.
- W1978010757 modified "2023-09-27" @default.
- W1978010757 title "Energy inconsistency of Galerkin approximationsfor plane Couette flow" @default.
- W1978010757 cites W1480681685 @default.
- W1978010757 cites W1982399836 @default.
- W1978010757 cites W2021964921 @default.
- W1978010757 cites W2023617927 @default.
- W1978010757 cites W2025758677 @default.
- W1978010757 cites W2032338864 @default.
- W1978010757 cites W2044887483 @default.
- W1978010757 cites W2047483668 @default.
- W1978010757 cites W2052999343 @default.
- W1978010757 cites W2055931342 @default.
- W1978010757 cites W2068851179 @default.
- W1978010757 cites W2087982431 @default.
- W1978010757 cites W2094909425 @default.
- W1978010757 cites W2120062331 @default.
- W1978010757 cites W2209423094 @default.
- W1978010757 cites W2408478130 @default.
- W1978010757 cites W2592897865 @default.
- W1978010757 cites W3010782316 @default.
- W1978010757 cites W2998497145 @default.
- W1978010757 doi "https://doi.org/10.1016/s0034-4877(04)80003-x" @default.
- W1978010757 hasPublicationYear "2004" @default.
- W1978010757 type Work @default.
- W1978010757 sameAs 1978010757 @default.
- W1978010757 citedByCount "1" @default.
- W1978010757 crossrefType "journal-article" @default.
- W1978010757 hasAuthorship W1978010757A5008700747 @default.
- W1978010757 hasAuthorship W1978010757A5046877915 @default.
- W1978010757 hasAuthorship W1978010757A5054860764 @default.
- W1978010757 hasConcept C105795698 @default.
- W1978010757 hasConcept C121332964 @default.
- W1978010757 hasConcept C134306372 @default.
- W1978010757 hasConcept C135628077 @default.
- W1978010757 hasConcept C17825722 @default.
- W1978010757 hasConcept C186370098 @default.
- W1978010757 hasConcept C186899397 @default.
- W1978010757 hasConcept C206815995 @default.
- W1978010757 hasConcept C2524010 @default.
- W1978010757 hasConcept C2779099160 @default.
- W1978010757 hasConcept C33923547 @default.
- W1978010757 hasConcept C38349280 @default.
- W1978010757 hasConcept C57879066 @default.
- W1978010757 hasConcept C74650414 @default.
- W1978010757 hasConcept C97355855 @default.
- W1978010757 hasConceptScore W1978010757C105795698 @default.
- W1978010757 hasConceptScore W1978010757C121332964 @default.
- W1978010757 hasConceptScore W1978010757C134306372 @default.
- W1978010757 hasConceptScore W1978010757C135628077 @default.
- W1978010757 hasConceptScore W1978010757C17825722 @default.
- W1978010757 hasConceptScore W1978010757C186370098 @default.
- W1978010757 hasConceptScore W1978010757C186899397 @default.
- W1978010757 hasConceptScore W1978010757C206815995 @default.
- W1978010757 hasConceptScore W1978010757C2524010 @default.
- W1978010757 hasConceptScore W1978010757C2779099160 @default.
- W1978010757 hasConceptScore W1978010757C33923547 @default.
- W1978010757 hasConceptScore W1978010757C38349280 @default.
- W1978010757 hasConceptScore W1978010757C57879066 @default.
- W1978010757 hasConceptScore W1978010757C74650414 @default.
- W1978010757 hasConceptScore W1978010757C97355855 @default.
- W1978010757 hasIssue "1" @default.
- W1978010757 hasLocation W19780107571 @default.
- W1978010757 hasOpenAccess W1978010757 @default.
- W1978010757 hasPrimaryLocation W19780107571 @default.
- W1978010757 hasRelatedWork W2009489541 @default.
- W1978010757 hasRelatedWork W2026802133 @default.
- W1978010757 hasRelatedWork W2049495042 @default.
- W1978010757 hasRelatedWork W2091504410 @default.
- W1978010757 hasRelatedWork W2127188487 @default.
- W1978010757 hasRelatedWork W2217565710 @default.
- W1978010757 hasRelatedWork W2895825605 @default.
- W1978010757 hasRelatedWork W4238910317 @default.
- W1978010757 hasRelatedWork W4250362494 @default.
- W1978010757 hasRelatedWork W4285613793 @default.
- W1978010757 hasVolume "54" @default.
- W1978010757 isParatext "false" @default.
- W1978010757 isRetracted "false" @default.
- W1978010757 magId "1978010757" @default.
- W1978010757 workType "article" @default.