Matches in SemOpenAlex for { <https://semopenalex.org/work/W2078550047> ?p ?o ?g. }
- W2078550047 endingPage "818" @default.
- W2078550047 startingPage "810" @default.
- W2078550047 abstract "We analyze the application of the residual-based variational multiscale (VMS) method to the solution of a generic partial differential equation. We prove that the model terms introduced by this method are dissipative under certain restrictions that are likely to be satisfied by spectral approximations of conservation laws. In particular, we demonstrate that the Fourier-spectral approximations of Burgers equation and the incompressible Navier–Stokes equations satisfy these conditions. Hence we show that the residual-based VMS model for these equations is dissipative, even though the form of the model term does not resemble an eddy viscosity. We analyze the scale dependence of this dissipation using fully resolved numerical solutions and conclude that the VMS model accurately captures the scale dependence of the cross-stress terms (u¯u′) and under-predicts the contribution from the Reynolds-stress terms (u′u′). These observations have implications on the use of the residual-based VMS method in spectral approximations of nonlinear conservation laws." @default.
- W2078550047 created "2016-06-24" @default.
- W2078550047 creator A5065530169 @default.
- W2078550047 creator A5073526706 @default.
- W2078550047 date "2010-02-01" @default.
- W2078550047 modified "2023-09-26" @default.
- W2078550047 title "Spectral analysis of the dissipation of the residual-based variational multiscale method" @default.
- W2078550047 cites W1970494410 @default.
- W2078550047 cites W1981511599 @default.
- W2078550047 cites W2004494416 @default.
- W2078550047 cites W2009774993 @default.
- W2078550047 cites W2019901048 @default.
- W2078550047 cites W2070033465 @default.
- W2078550047 cites W2073307888 @default.
- W2078550047 cites W2078045751 @default.
- W2078550047 cites W2079816657 @default.
- W2078550047 cites W2081185385 @default.
- W2078550047 cites W2105061081 @default.
- W2078550047 cites W2133938049 @default.
- W2078550047 cites W2154122281 @default.
- W2078550047 cites W2165123564 @default.
- W2078550047 cites W2168795429 @default.
- W2078550047 cites W2314995866 @default.
- W2078550047 cites W2323287004 @default.
- W2078550047 doi "https://doi.org/10.1016/j.cma.2009.06.008" @default.
- W2078550047 hasPublicationYear "2010" @default.
- W2078550047 type Work @default.
- W2078550047 sameAs 2078550047 @default.
- W2078550047 citedByCount "27" @default.
- W2078550047 countsByYear W20785500472012 @default.
- W2078550047 countsByYear W20785500472013 @default.
- W2078550047 countsByYear W20785500472014 @default.
- W2078550047 countsByYear W20785500472015 @default.
- W2078550047 countsByYear W20785500472017 @default.
- W2078550047 countsByYear W20785500472018 @default.
- W2078550047 countsByYear W20785500472019 @default.
- W2078550047 countsByYear W20785500472020 @default.
- W2078550047 countsByYear W20785500472021 @default.
- W2078550047 countsByYear W20785500472022 @default.
- W2078550047 countsByYear W20785500472023 @default.
- W2078550047 crossrefType "journal-article" @default.
- W2078550047 hasAuthorship W2078550047A5065530169 @default.
- W2078550047 hasAuthorship W2078550047A5073526706 @default.
- W2078550047 hasConcept C11413529 @default.
- W2078550047 hasConcept C121332964 @default.
- W2078550047 hasConcept C121864883 @default.
- W2078550047 hasConcept C129747778 @default.
- W2078550047 hasConcept C134306372 @default.
- W2078550047 hasConcept C135402231 @default.
- W2078550047 hasConcept C155512373 @default.
- W2078550047 hasConcept C157334427 @default.
- W2078550047 hasConcept C158622935 @default.
- W2078550047 hasConcept C182748727 @default.
- W2078550047 hasConcept C196558001 @default.
- W2078550047 hasConcept C23463724 @default.
- W2078550047 hasConcept C28826006 @default.
- W2078550047 hasConcept C33923547 @default.
- W2078550047 hasConcept C3445786 @default.
- W2078550047 hasConcept C57879066 @default.
- W2078550047 hasConcept C62520636 @default.
- W2078550047 hasConcept C84655787 @default.
- W2078550047 hasConcept C93779851 @default.
- W2078550047 hasConcept C97355855 @default.
- W2078550047 hasConcept C99692599 @default.
- W2078550047 hasConceptScore W2078550047C11413529 @default.
- W2078550047 hasConceptScore W2078550047C121332964 @default.
- W2078550047 hasConceptScore W2078550047C121864883 @default.
- W2078550047 hasConceptScore W2078550047C129747778 @default.
- W2078550047 hasConceptScore W2078550047C134306372 @default.
- W2078550047 hasConceptScore W2078550047C135402231 @default.
- W2078550047 hasConceptScore W2078550047C155512373 @default.
- W2078550047 hasConceptScore W2078550047C157334427 @default.
- W2078550047 hasConceptScore W2078550047C158622935 @default.
- W2078550047 hasConceptScore W2078550047C182748727 @default.
- W2078550047 hasConceptScore W2078550047C196558001 @default.
- W2078550047 hasConceptScore W2078550047C23463724 @default.
- W2078550047 hasConceptScore W2078550047C28826006 @default.
- W2078550047 hasConceptScore W2078550047C33923547 @default.
- W2078550047 hasConceptScore W2078550047C3445786 @default.
- W2078550047 hasConceptScore W2078550047C57879066 @default.
- W2078550047 hasConceptScore W2078550047C62520636 @default.
- W2078550047 hasConceptScore W2078550047C84655787 @default.
- W2078550047 hasConceptScore W2078550047C93779851 @default.
- W2078550047 hasConceptScore W2078550047C97355855 @default.
- W2078550047 hasConceptScore W2078550047C99692599 @default.
- W2078550047 hasIssue "13-16" @default.
- W2078550047 hasLocation W20785500471 @default.
- W2078550047 hasOpenAccess W2078550047 @default.
- W2078550047 hasPrimaryLocation W20785500471 @default.
- W2078550047 hasRelatedWork W1627538778 @default.
- W2078550047 hasRelatedWork W1969373293 @default.
- W2078550047 hasRelatedWork W2078550047 @default.
- W2078550047 hasRelatedWork W2325432124 @default.
- W2078550047 hasRelatedWork W2601548918 @default.
- W2078550047 hasRelatedWork W2623225148 @default.
- W2078550047 hasRelatedWork W2734680054 @default.
- W2078550047 hasRelatedWork W2903479806 @default.
- W2078550047 hasRelatedWork W3162077676 @default.