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A linear and nonlin...
A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions
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- Nordström, Jan, 1953- (författare)
- Linköpings universitet,Tekniska fakulteten,Tillämpad matematik,University of Johannesburg, South Africa
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- Winters, Andrew Ross (författare)
- Linköpings universitet,Tekniska fakulteten,Tillämpad matematik
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(creator_code:org_t)
- Elsevier, 2022
- 2022
- Engelska.
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Ingår i: Journal of Computational Physics. - : Elsevier. - 0021-9991 .- 1090-2716. ; 463
- Relaterad länk:
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We derive boundary conditions and estimates based on the energy and entropy analysis of systems of the nonlinear shallow water equations in two spatial dimensions. It is shown that the energy method provides more details, but is fully consistent with the entropy analysis. The details brought forward by the nonlinear energy analysis allow us to pinpoint where the difference between the linear and nonlinear analysis originate. We find that the result from the linear analysis does not necessarily hold in the nonlinear case. The nonlinear analysis leads in general to a different minimal number of boundary conditions compared with the linear analysis. In particular, and contrary to the linear case, the magnitude of the flow does not influence the number of required boundary conditions.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Energy stability
- Entropy stability
- Boundary conditions
- Nonlinear hyperbolic equations
- Shallow water equations
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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