Matches in SemOpenAlex for { <https://semopenalex.org/work/W3009781737> ?p ?o ?g. }
- W3009781737 abstract "Abstract The validity of theoretical investigation on Rayleigh-Taylor instability (RTI) with nonlinearity is quite important, especially for the simplest and the commonest case of a pure single-mode RTI, while its previous explicit solution in weakly nonlinear scheme is found to have several defections. In this paper, this RTI is strictly solved by the method of the potential functions up to the third order at the weakly nonlinear stage for arbitrary Atwood numbers. It is found that the potential solution includes terms of both the stimulating and inhibiting RTI, while the terms of the decreasing RTI are omitted in the classical solution of the weakly nonlinear scheme, resulting in a big difference between these two results. For the pure single-mode cosine perturbation, comparisons among the classical result, the present potential result and numerical simulations, in which the two dimensional Euler equations are used, are carefully performed. Our result is in a better agreement with the numerical simulations than the classical one before the saturation time. To avoid the tedious expressions and improve a larger valid range of the solution, the method of the Taylor expansion is employed and the velocities of the bubble and spike are, respectively, obtained. Comparisons between the improved and the simulation results show that the improved theory can better predict the evolution of the interface from the linear to weakly nonlinear, even to later of the nonlinear stages." @default.
- W3009781737 created "2020-03-13" @default.
- W3009781737 creator A5012706998 @default.
- W3009781737 creator A5019520867 @default.
- W3009781737 creator A5044936528 @default.
- W3009781737 creator A5054090598 @default.
- W3009781737 creator A5066450679 @default.
- W3009781737 creator A5069459465 @default.
- W3009781737 date "2020-03-06" @default.
- W3009781737 modified "2023-10-17" @default.
- W3009781737 title "Pure single-mode Rayleigh-Taylor instability for arbitrary Atwood numbers" @default.
- W3009781737 cites W1972098741 @default.
- W3009781737 cites W1980635266 @default.
- W3009781737 cites W1989396052 @default.
- W3009781737 cites W1991840919 @default.
- W3009781737 cites W1999592708 @default.
- W3009781737 cites W2000627694 @default.
- W3009781737 cites W2001923450 @default.
- W3009781737 cites W2003073010 @default.
- W3009781737 cites W2004515933 @default.
- W3009781737 cites W2018089051 @default.
- W3009781737 cites W2018297327 @default.
- W3009781737 cites W2019507894 @default.
- W3009781737 cites W2022146234 @default.
- W3009781737 cites W2026841754 @default.
- W3009781737 cites W2028943960 @default.
- W3009781737 cites W2029684273 @default.
- W3009781737 cites W2030261258 @default.
- W3009781737 cites W2035100559 @default.
- W3009781737 cites W2044894003 @default.
- W3009781737 cites W2050917806 @default.
- W3009781737 cites W2052268949 @default.
- W3009781737 cites W2059272941 @default.
- W3009781737 cites W2072107037 @default.
- W3009781737 cites W2075318011 @default.
- W3009781737 cites W2079437483 @default.
- W3009781737 cites W2086235031 @default.
- W3009781737 cites W2090578609 @default.
- W3009781737 cites W2102179892 @default.
- W3009781737 cites W2109451901 @default.
- W3009781737 cites W2125015092 @default.
- W3009781737 cites W2205816838 @default.
- W3009781737 cites W2504207971 @default.
- W3009781737 cites W2898606333 @default.
- W3009781737 cites W2907394848 @default.
- W3009781737 doi "https://doi.org/10.1038/s41598-020-60207-y" @default.
- W3009781737 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/7060355" @default.
- W3009781737 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/32144289" @default.
- W3009781737 hasPublicationYear "2020" @default.
- W3009781737 type Work @default.
- W3009781737 sameAs 3009781737 @default.
- W3009781737 citedByCount "6" @default.
- W3009781737 countsByYear W30097817372021 @default.
- W3009781737 countsByYear W30097817372022 @default.
- W3009781737 countsByYear W30097817372023 @default.
- W3009781737 crossrefType "journal-article" @default.
- W3009781737 hasAuthorship W3009781737A5012706998 @default.
- W3009781737 hasAuthorship W3009781737A5019520867 @default.
- W3009781737 hasAuthorship W3009781737A5044936528 @default.
- W3009781737 hasAuthorship W3009781737A5054090598 @default.
- W3009781737 hasAuthorship W3009781737A5066450679 @default.
- W3009781737 hasAuthorship W3009781737A5069459465 @default.
- W3009781737 hasBestOaLocation W30097817371 @default.
- W3009781737 hasConcept C121332964 @default.
- W3009781737 hasConcept C134306372 @default.
- W3009781737 hasConcept C157915830 @default.
- W3009781737 hasConcept C158622935 @default.
- W3009781737 hasConcept C158946198 @default.
- W3009781737 hasConcept C177918212 @default.
- W3009781737 hasConcept C207821765 @default.
- W3009781737 hasConcept C28826006 @default.
- W3009781737 hasConcept C2916875 @default.
- W3009781737 hasConcept C33923547 @default.
- W3009781737 hasConcept C57879066 @default.
- W3009781737 hasConcept C62520636 @default.
- W3009781737 hasConcept C62884695 @default.
- W3009781737 hasConceptScore W3009781737C121332964 @default.
- W3009781737 hasConceptScore W3009781737C134306372 @default.
- W3009781737 hasConceptScore W3009781737C157915830 @default.
- W3009781737 hasConceptScore W3009781737C158622935 @default.
- W3009781737 hasConceptScore W3009781737C158946198 @default.
- W3009781737 hasConceptScore W3009781737C177918212 @default.
- W3009781737 hasConceptScore W3009781737C207821765 @default.
- W3009781737 hasConceptScore W3009781737C28826006 @default.
- W3009781737 hasConceptScore W3009781737C2916875 @default.
- W3009781737 hasConceptScore W3009781737C33923547 @default.
- W3009781737 hasConceptScore W3009781737C57879066 @default.
- W3009781737 hasConceptScore W3009781737C62520636 @default.
- W3009781737 hasConceptScore W3009781737C62884695 @default.
- W3009781737 hasIssue "1" @default.
- W3009781737 hasLocation W30097817371 @default.
- W3009781737 hasLocation W30097817372 @default.
- W3009781737 hasLocation W30097817373 @default.
- W3009781737 hasLocation W30097817374 @default.
- W3009781737 hasOpenAccess W3009781737 @default.
- W3009781737 hasPrimaryLocation W30097817371 @default.
- W3009781737 hasRelatedWork W1613057062 @default.
- W3009781737 hasRelatedWork W1965676521 @default.
- W3009781737 hasRelatedWork W1968212069 @default.
- W3009781737 hasRelatedWork W1983213325 @default.