FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3004557191> ?p ?o ?g. }

• W3004557191 abstract "An exact solution to the lock-exchange problem, which is a two-layer analogue of the classical dam-break problem, is obtained in the shallow-water (SW) approximation for two immiscible fluids with slightly different densities. The problem is solved by the method of characteristics using analytic expressions for the Riemann invariants. The obtained solution, which represents an inviscid approximation to the high-Reynolds-number limit, is in general discontinuous containing up to three hydraulic jumps which are due to either multivaluedness or instability of the continuous SW solution. Hydraulic jumps are resolved by applying the Rankine-Hugoniot conditions for the SW mass and generalized momentum conservation equations. The latter contains a free parameter $alpha$ which defines the relative contribution of each layer to the interfacial pressure gradient. We consider a solution for $alpha=0,$ which corresponds to both layers affecting the interfacial pressure gradient with equal weight coefficients. This solution is compared with the solutions resulting from the application of the classical Benjamin's front condition as well as the circulation conservation condition, which correspond to $alpha=-1$ and $alpharightarrowinfty,$ respectively. The SW solution reproduces all principal features of 2D numerical solution for viscous fluids. The gravity current speed is found to agree well with experimental and numerical results when the front acquires the largest stable height which occurs at $alpha=sqrt{5}-2.$ We show that two-layer SW equations for the mass and generalized momentum conservation can describe interfacial waves containing hydraulic jumps in a self-contained way without external closure conditions." @default.
• W3004557191 created "2020-02-14" @default.
• W3004557191 creator A5057503728 @default.
• W3004557191 creator A5080903244 @default.
• W3004557191 date "2022-10-01" @default.
• W3004557191 modified "2023-10-13" @default.
• W3004557191 title "Lock-exchange problem for Boussinesq fluids revisited: Exact shallow-water solution" @default.
• W3004557191 cites W1967446950 @default.
• W3004557191 cites W1975662055 @default.
• W3004557191 cites W2002465910 @default.
• W3004557191 cites W2003209724 @default.
• W3004557191 cites W2007308564 @default.
• W3004557191 cites W2017735666 @default.
• W3004557191 cites W2018342325 @default.
• W3004557191 cites W2062801948 @default.
• W3004557191 cites W2063744885 @default.
• W3004557191 cites W2072023396 @default.
• W3004557191 cites W2091156524 @default.
• W3004557191 cites W2094553410 @default.
• W3004557191 cites W2100792673 @default.
• W3004557191 cites W2121146827 @default.
• W3004557191 cites W2124984587 @default.
• W3004557191 cites W2125058480 @default.
• W3004557191 cites W2125945929 @default.
• W3004557191 cites W2133431334 @default.
• W3004557191 cites W2136129772 @default.
• W3004557191 cites W2144093219 @default.
• W3004557191 cites W2156498905 @default.
• W3004557191 cites W2161699701 @default.
• W3004557191 cites W2164011123 @default.
• W3004557191 cites W2604528562 @default.
• W3004557191 cites W2729940436 @default.
• W3004557191 cites W3105564038 @default.
• W3004557191 cites W4247685013 @default.
• W3004557191 cites W4255368379 @default.
• W3004557191 doi "https://doi.org/10.1063/5.0102874" @default.
• W3004557191 hasPublicationYear "2022" @default.
• W3004557191 type Work @default.
• W3004557191 sameAs 3004557191 @default.
• W3004557191 citedByCount "2" @default.
• W3004557191 countsByYear W30045571912022 @default.
• W3004557191 countsByYear W30045571912023 @default.
• W3004557191 crossrefType "journal-article" @default.
• W3004557191 hasAuthorship W3004557191A5057503728 @default.
• W3004557191 hasAuthorship W3004557191A5080903244 @default.
• W3004557191 hasBestOaLocation W30045571912 @default.
• W3004557191 hasConcept C10138342 @default.
• W3004557191 hasConcept C106836276 @default.
• W3004557191 hasConcept C10899652 @default.
• W3004557191 hasConcept C121332964 @default.
• W3004557191 hasConcept C134306372 @default.
• W3004557191 hasConcept C146864707 @default.
• W3004557191 hasConcept C157206272 @default.
• W3004557191 hasConcept C162324750 @default.
• W3004557191 hasConcept C181152433 @default.
• W3004557191 hasConcept C182748727 @default.
• W3004557191 hasConcept C196558001 @default.
• W3004557191 hasConcept C207821765 @default.
• W3004557191 hasConcept C25924097 @default.
• W3004557191 hasConcept C33923547 @default.
• W3004557191 hasConcept C3445786 @default.
• W3004557191 hasConcept C38349280 @default.
• W3004557191 hasConcept C44431628 @default.
• W3004557191 hasConcept C520416788 @default.
• W3004557191 hasConcept C54791560 @default.
• W3004557191 hasConcept C57879066 @default.
• W3004557191 hasConcept C60718061 @default.
• W3004557191 hasConcept C62520636 @default.
• W3004557191 hasConcept C74650414 @default.
• W3004557191 hasConcept C84482304 @default.
• W3004557191 hasConcept C86252789 @default.
• W3004557191 hasConcept C97355855 @default.
• W3004557191 hasConceptScore W3004557191C10138342 @default.
• W3004557191 hasConceptScore W3004557191C106836276 @default.
• W3004557191 hasConceptScore W3004557191C10899652 @default.
• W3004557191 hasConceptScore W3004557191C121332964 @default.
• W3004557191 hasConceptScore W3004557191C134306372 @default.
• W3004557191 hasConceptScore W3004557191C146864707 @default.
• W3004557191 hasConceptScore W3004557191C157206272 @default.
• W3004557191 hasConceptScore W3004557191C162324750 @default.
• W3004557191 hasConceptScore W3004557191C181152433 @default.
• W3004557191 hasConceptScore W3004557191C182748727 @default.
• W3004557191 hasConceptScore W3004557191C196558001 @default.
• W3004557191 hasConceptScore W3004557191C207821765 @default.
• W3004557191 hasConceptScore W3004557191C25924097 @default.
• W3004557191 hasConceptScore W3004557191C33923547 @default.
• W3004557191 hasConceptScore W3004557191C3445786 @default.
• W3004557191 hasConceptScore W3004557191C38349280 @default.
• W3004557191 hasConceptScore W3004557191C44431628 @default.
• W3004557191 hasConceptScore W3004557191C520416788 @default.
• W3004557191 hasConceptScore W3004557191C54791560 @default.
• W3004557191 hasConceptScore W3004557191C57879066 @default.
• W3004557191 hasConceptScore W3004557191C60718061 @default.
• W3004557191 hasConceptScore W3004557191C62520636 @default.
• W3004557191 hasConceptScore W3004557191C74650414 @default.
• W3004557191 hasConceptScore W3004557191C84482304 @default.
• W3004557191 hasConceptScore W3004557191C86252789 @default.
• W3004557191 hasConceptScore W3004557191C97355855 @default.
• W3004557191 hasIssue "10" @default.
• W3004557191 hasLocation W30045571911 @default.

• next