Matches in SemOpenAlex for { <https://semopenalex.org/work/W1489342919> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W1489342919 abstract "Equations that follow from the Navier-Stokes equation and incompressibility but with no other approximations are called here. Exact equations relating 2nd and 3rd-order structure functions are obtained, as is an exact incompressibility condition on the 2nd-order velocity structure function. Ensemble, temporal, and spatial averages are all considered because they produce different statistical equations. Exact equations have particularly simple forms for the cases of an average over a sphere in r-space as well as DNS that has periodic boundary conditions. The trace mitigates the effect of anisotropy in the equations, thereby revealing that the trace of the third-order structure function is expected to be superior for quantifying asymptotic scaling laws. The midpoint and the difference of the two points at which the hydrodynamic quantities are obtained are X and r; t is time. Dependencies on X and on the orientation of r and on t fade as the asymptotic statistical states of local homogeneity, local isotropy, and local stationarity, respectively, are approached. The exact equations are thus applicable to study of the approach toward those asymptotic states. A new definition of local homogeneity is contrasted with previous definitions. The approach toward the asymptotic state of local homogeneity is studied by using scale analysis to determine the required approximations and the approximate equations pertaining to experiments and simulations of the small-scale structure of high-Reynolds-number turbulence, but without invoking local isotropy. Those equations differ from equations for homogeneous turbulence." @default.
- W1489342919 created "2016-06-24" @default.
- W1489342919 creator A5025390155 @default.
- W1489342919 date "2002-06-12" @default.
- W1489342919 modified "2023-09-27" @default.
- W1489342919 title "The Approach of Turbulence to the Locally Homogeneous Asymptote as Studied using Exact Structure-Function Equations" @default.
- W1489342919 cites W1597359858 @default.
- W1489342919 cites W1633669915 @default.
- W1489342919 cites W1965629162 @default.
- W1489342919 cites W1965996837 @default.
- W1489342919 cites W1972869425 @default.
- W1489342919 cites W1992701906 @default.
- W1489342919 cites W2002530424 @default.
- W1489342919 cites W2003082191 @default.
- W1489342919 cites W2011773211 @default.
- W1489342919 cites W2013255178 @default.
- W1489342919 cites W2014904256 @default.
- W1489342919 cites W2025615159 @default.
- W1489342919 cites W2027189499 @default.
- W1489342919 cites W2036893075 @default.
- W1489342919 cites W2049917089 @default.
- W1489342919 cites W2064847749 @default.
- W1489342919 cites W2067493710 @default.
- W1489342919 cites W2081182607 @default.
- W1489342919 cites W2082697332 @default.
- W1489342919 cites W2093648215 @default.
- W1489342919 cites W2094838308 @default.
- W1489342919 cites W2102901030 @default.
- W1489342919 cites W2104055838 @default.
- W1489342919 cites W2117652238 @default.
- W1489342919 cites W2126467964 @default.
- W1489342919 cites W244187803 @default.
- W1489342919 cites W2979559266 @default.
- W1489342919 cites W2980690404 @default.
- W1489342919 cites W3017165845 @default.
- W1489342919 cites W3094185483 @default.
- W1489342919 cites W3175380252 @default.
- W1489342919 hasPublicationYear "2002" @default.
- W1489342919 type Work @default.
- W1489342919 sameAs 1489342919 @default.
- W1489342919 citedByCount "4" @default.
- W1489342919 countsByYear W14893429192021 @default.
- W1489342919 crossrefType "posted-content" @default.
- W1489342919 hasAuthorship W1489342919A5025390155 @default.
- W1489342919 hasConcept C105795698 @default.
- W1489342919 hasConcept C121332964 @default.
- W1489342919 hasConcept C134306372 @default.
- W1489342919 hasConcept C142259097 @default.
- W1489342919 hasConcept C184050105 @default.
- W1489342919 hasConcept C196558001 @default.
- W1489342919 hasConcept C205147927 @default.
- W1489342919 hasConcept C2524010 @default.
- W1489342919 hasConcept C33923547 @default.
- W1489342919 hasConcept C57879066 @default.
- W1489342919 hasConcept C58315980 @default.
- W1489342919 hasConcept C62520636 @default.
- W1489342919 hasConcept C99844830 @default.
- W1489342919 hasConceptScore W1489342919C105795698 @default.
- W1489342919 hasConceptScore W1489342919C121332964 @default.
- W1489342919 hasConceptScore W1489342919C134306372 @default.
- W1489342919 hasConceptScore W1489342919C142259097 @default.
- W1489342919 hasConceptScore W1489342919C184050105 @default.
- W1489342919 hasConceptScore W1489342919C196558001 @default.
- W1489342919 hasConceptScore W1489342919C205147927 @default.
- W1489342919 hasConceptScore W1489342919C2524010 @default.
- W1489342919 hasConceptScore W1489342919C33923547 @default.
- W1489342919 hasConceptScore W1489342919C57879066 @default.
- W1489342919 hasConceptScore W1489342919C58315980 @default.
- W1489342919 hasConceptScore W1489342919C62520636 @default.
- W1489342919 hasConceptScore W1489342919C99844830 @default.
- W1489342919 hasLocation W14893429191 @default.
- W1489342919 hasOpenAccess W1489342919 @default.
- W1489342919 hasPrimaryLocation W14893429191 @default.
- W1489342919 hasRelatedWork W112395654 @default.
- W1489342919 hasRelatedWork W1966199755 @default.
- W1489342919 hasRelatedWork W1966215731 @default.
- W1489342919 hasRelatedWork W1996645672 @default.
- W1489342919 hasRelatedWork W1997879396 @default.
- W1489342919 hasRelatedWork W2011773211 @default.
- W1489342919 hasRelatedWork W2013004558 @default.
- W1489342919 hasRelatedWork W2030578716 @default.
- W1489342919 hasRelatedWork W2040547178 @default.
- W1489342919 hasRelatedWork W2059980473 @default.
- W1489342919 hasRelatedWork W2063836631 @default.
- W1489342919 hasRelatedWork W2074146833 @default.
- W1489342919 hasRelatedWork W2087001292 @default.
- W1489342919 hasRelatedWork W2093648215 @default.
- W1489342919 hasRelatedWork W2102901030 @default.
- W1489342919 hasRelatedWork W2139488982 @default.
- W1489342919 hasRelatedWork W2951163349 @default.
- W1489342919 hasRelatedWork W2979559266 @default.
- W1489342919 hasRelatedWork W3098450094 @default.
- W1489342919 hasRelatedWork W3166974108 @default.
- W1489342919 isParatext "false" @default.
- W1489342919 isRetracted "false" @default.
- W1489342919 magId "1489342919" @default.
- W1489342919 workType "article" @default.