Matches in SemOpenAlex for { <https://semopenalex.org/work/W68664135> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W68664135 abstract "Several turbulent and nonturbulent solutions of the Navier-Stokes equations are obtained. The unaveraged equations are used numerically in conjunction with tools and concepts from nonlinear dynamics, including time series, phase portraits, Poincare sections, Liapunov exponents, power spectra, and strange attractors. Initially neighboring solutions for a low-Reynolds-number fully developed turbulence are compared. The turbulence is sustained by a nonrandom time-independent external force. The solutions, on the average, separate exponentially with time, having a positive Liapunov exponent. Thus, the turbulence is characterized as chaotic. In a search for solutions which contrast with the turbulent ones, the Reynolds number (or strength of the forcing) is reduced. Several qualitatively different flows are noted. These are, respectively, fully chaotic, complex periodic, weakly chaotic, simple periodic, and fixed-point. Of these, we classify only the fully chaotic flows as turbulent. Those flows have both a positive Liapunov exponent and Poincare sections without pattern. By contrast, the weakly chaotic flows, although having positive Liapunov exponents, have some pattern in their Poincare sections. The fixed-point and periodic flows are nonturbulent, since turbulence, as generally understood, is both time-dependent and aperiodic." @default.
- W68664135 created "2016-06-24" @default.
- W68664135 creator A5039395076 @default.
- W68664135 date "1996-09-01" @default.
- W68664135 modified "2023-09-26" @default.
- W68664135 title "Turbulent Fluid Motion 6: Turbulence, Nonlinear Dynamics, and Deterministic Chaos" @default.
- W68664135 cites W1496798092 @default.
- W68664135 cites W1545139052 @default.
- W68664135 cites W1652407014 @default.
- W68664135 cites W1966617633 @default.
- W68664135 cites W2016423141 @default.
- W68664135 cites W2035521885 @default.
- W68664135 cites W2050545125 @default.
- W68664135 cites W2051422847 @default.
- W68664135 cites W2063419567 @default.
- W68664135 cites W2088949677 @default.
- W68664135 cites W2141394518 @default.
- W68664135 cites W2146696177 @default.
- W68664135 cites W2161168724 @default.
- W68664135 cites W3025560754 @default.
- W68664135 cites W3216706879 @default.
- W68664135 hasPublicationYear "1996" @default.
- W68664135 type Work @default.
- W68664135 sameAs 68664135 @default.
- W68664135 citedByCount "0" @default.
- W68664135 crossrefType "journal-article" @default.
- W68664135 hasAuthorship W68664135A5039395076 @default.
- W68664135 hasConcept C121332964 @default.
- W68664135 hasConcept C121864883 @default.
- W68664135 hasConcept C134306372 @default.
- W68664135 hasConcept C154945302 @default.
- W68664135 hasConcept C158622935 @default.
- W68664135 hasConcept C164380108 @default.
- W68664135 hasConcept C182748727 @default.
- W68664135 hasConcept C191544260 @default.
- W68664135 hasConcept C196558001 @default.
- W68664135 hasConcept C2777052490 @default.
- W68664135 hasConcept C33923547 @default.
- W68664135 hasConcept C41008148 @default.
- W68664135 hasConcept C57879066 @default.
- W68664135 hasConcept C61445026 @default.
- W68664135 hasConcept C62520636 @default.
- W68664135 hasConcept C74650414 @default.
- W68664135 hasConceptScore W68664135C121332964 @default.
- W68664135 hasConceptScore W68664135C121864883 @default.
- W68664135 hasConceptScore W68664135C134306372 @default.
- W68664135 hasConceptScore W68664135C154945302 @default.
- W68664135 hasConceptScore W68664135C158622935 @default.
- W68664135 hasConceptScore W68664135C164380108 @default.
- W68664135 hasConceptScore W68664135C182748727 @default.
- W68664135 hasConceptScore W68664135C191544260 @default.
- W68664135 hasConceptScore W68664135C196558001 @default.
- W68664135 hasConceptScore W68664135C2777052490 @default.
- W68664135 hasConceptScore W68664135C33923547 @default.
- W68664135 hasConceptScore W68664135C41008148 @default.
- W68664135 hasConceptScore W68664135C57879066 @default.
- W68664135 hasConceptScore W68664135C61445026 @default.
- W68664135 hasConceptScore W68664135C62520636 @default.
- W68664135 hasConceptScore W68664135C74650414 @default.
- W68664135 hasLocation W686641351 @default.
- W68664135 hasOpenAccess W68664135 @default.
- W68664135 hasPrimaryLocation W686641351 @default.
- W68664135 hasRelatedWork W1614490680 @default.
- W68664135 hasRelatedWork W191454229 @default.
- W68664135 hasRelatedWork W1964744949 @default.
- W68664135 hasRelatedWork W2007194763 @default.
- W68664135 hasRelatedWork W2020005784 @default.
- W68664135 hasRelatedWork W2026171861 @default.
- W68664135 hasRelatedWork W2058544936 @default.
- W68664135 hasRelatedWork W2068403888 @default.
- W68664135 hasRelatedWork W2072133891 @default.
- W68664135 hasRelatedWork W2074354358 @default.
- W68664135 hasRelatedWork W2085123088 @default.
- W68664135 hasRelatedWork W2093820071 @default.
- W68664135 hasRelatedWork W2365328431 @default.
- W68664135 hasRelatedWork W2484887310 @default.
- W68664135 hasRelatedWork W2578947593 @default.
- W68664135 hasRelatedWork W2999299394 @default.
- W68664135 hasRelatedWork W3016200020 @default.
- W68664135 hasRelatedWork W3049223961 @default.
- W68664135 hasRelatedWork W3101637008 @default.
- W68664135 hasRelatedWork W568969950 @default.
- W68664135 isParatext "false" @default.
- W68664135 isRetracted "false" @default.
- W68664135 magId "68664135" @default.
- W68664135 workType "article" @default.