2022
DOI: 10.1016/j.amc.2022.127166
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Steady states and well-balanced schemes for shallow water moment equations with topography

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Cited by 8 publications
(21 citation statements)
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“…In the shallow water setting, the mean velocity u m should normally be relatively large in comparison to the deviation part j=1Nαjfalse(t,xfalse)ϕjfalse(ζfalse), see also previous studies 6,9 . Otherwise, small deviations can lead to a change of sign for the velocity profile and back streaming can occur.…”
Section: Shallow Water Moment Modelsmentioning
confidence: 87%
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“…In the shallow water setting, the mean velocity u m should normally be relatively large in comparison to the deviation part j=1Nαjfalse(t,xfalse)ϕjfalse(ζfalse), see also previous studies 6,9 . Otherwise, small deviations can lead to a change of sign for the velocity profile and back streaming can occur.…”
Section: Shallow Water Moment Modelsmentioning
confidence: 87%
“…In the shallow water setting, the mean velocity u m should normally be relatively large in comparison to the deviation part ∑ N 𝑗=1 𝛼 𝑗 (t, x)𝜙 𝑗 (𝜁 ), see also previous studies. 6,9 Otherwise, small deviations can lead to a change of sign for the velocity profile and back streaming can occur. This can lead to small vortices in the flow, a phenomenon that is not in agreement with the shallow water regime where the lengths scales are much larger than the water height.…”
Section: Shallow Water Moment Modelsmentioning
confidence: 99%
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