Matches in SemOpenAlex for { <https://semopenalex.org/work/W4289977059> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W4289977059 abstract "We use numerical methods to study the behaviour of the Serre equations in the presence of steep gradients because there are no known analytical solutions for these problems. In keeping with the literature we study a class of initial condition problems that are a smooth approximation to the initial conditions of the dam-break problem. This class of initial condition problems allow us to observe the behaviour of the Serre equations with varying steepness of the initial conditions. The numerical solutions of the Serre equations are justified by demonstrating that as the resolution increases they converge to a solution with little error in conservation of mass, momentum and energy independent of the numerical method. We observe four different structures of the converged numerical solutions depending on the steepness of the initial conditions. Two of these structures were observed in the literature, with the other two not being commonly found in the literature. The numerical solutions are then used to assess how well the analytical solution of the shallow water wave equations captures the mean behaviour of the solution of the Serre equations for the dam-break problem. Lastly the numerical solutions are used to evaluate the usefulness of asymptotic results in the literature to approximate the depth and location of the front of an undular bore." @default.
- W4289977059 created "2022-08-06" @default.
- W4289977059 creator A5005827299 @default.
- W4289977059 creator A5058617210 @default.
- W4289977059 creator A5072747540 @default.
- W4289977059 date "2017-06-26" @default.
- W4289977059 modified "2023-09-24" @default.
- W4289977059 title "Behaviour of the Serre Equations in the Presence of Steep Gradients Revisited" @default.
- W4289977059 doi "https://doi.org/10.48550/arxiv.1706.08637" @default.
- W4289977059 hasPublicationYear "2017" @default.
- W4289977059 type Work @default.
- W4289977059 citedByCount "0" @default.
- W4289977059 crossrefType "posted-content" @default.
- W4289977059 hasAuthorship W4289977059A5005827299 @default.
- W4289977059 hasAuthorship W4289977059A5058617210 @default.
- W4289977059 hasAuthorship W4289977059A5072747540 @default.
- W4289977059 hasBestOaLocation W42899770591 @default.
- W4289977059 hasConcept C10138342 @default.
- W4289977059 hasConcept C121332964 @default.
- W4289977059 hasConcept C134306372 @default.
- W4289977059 hasConcept C140295346 @default.
- W4289977059 hasConcept C153294291 @default.
- W4289977059 hasConcept C154945302 @default.
- W4289977059 hasConcept C157206272 @default.
- W4289977059 hasConcept C162324750 @default.
- W4289977059 hasConcept C26955809 @default.
- W4289977059 hasConcept C2777212361 @default.
- W4289977059 hasConcept C2777551076 @default.
- W4289977059 hasConcept C28826006 @default.
- W4289977059 hasConcept C33923547 @default.
- W4289977059 hasConcept C41008148 @default.
- W4289977059 hasConcept C48753275 @default.
- W4289977059 hasConcept C57879066 @default.
- W4289977059 hasConcept C60718061 @default.
- W4289977059 hasConceptScore W4289977059C10138342 @default.
- W4289977059 hasConceptScore W4289977059C121332964 @default.
- W4289977059 hasConceptScore W4289977059C134306372 @default.
- W4289977059 hasConceptScore W4289977059C140295346 @default.
- W4289977059 hasConceptScore W4289977059C153294291 @default.
- W4289977059 hasConceptScore W4289977059C154945302 @default.
- W4289977059 hasConceptScore W4289977059C157206272 @default.
- W4289977059 hasConceptScore W4289977059C162324750 @default.
- W4289977059 hasConceptScore W4289977059C26955809 @default.
- W4289977059 hasConceptScore W4289977059C2777212361 @default.
- W4289977059 hasConceptScore W4289977059C2777551076 @default.
- W4289977059 hasConceptScore W4289977059C28826006 @default.
- W4289977059 hasConceptScore W4289977059C33923547 @default.
- W4289977059 hasConceptScore W4289977059C41008148 @default.
- W4289977059 hasConceptScore W4289977059C48753275 @default.
- W4289977059 hasConceptScore W4289977059C57879066 @default.
- W4289977059 hasConceptScore W4289977059C60718061 @default.
- W4289977059 hasLocation W42899770591 @default.
- W4289977059 hasOpenAccess W4289977059 @default.
- W4289977059 hasPrimaryLocation W42899770591 @default.
- W4289977059 hasRelatedWork W103113389 @default.
- W4289977059 hasRelatedWork W1986309941 @default.
- W4289977059 hasRelatedWork W2007084868 @default.
- W4289977059 hasRelatedWork W2010113194 @default.
- W4289977059 hasRelatedWork W2030889936 @default.
- W4289977059 hasRelatedWork W2130967448 @default.
- W4289977059 hasRelatedWork W2727964340 @default.
- W4289977059 hasRelatedWork W2783867283 @default.
- W4289977059 hasRelatedWork W3008669076 @default.
- W4289977059 hasRelatedWork W3097658346 @default.
- W4289977059 isParatext "false" @default.
- W4289977059 isRetracted "false" @default.
- W4289977059 workType "article" @default.