On open boundary conditions for long wave equation in the hodograph plane
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We discuss implications of the seaward boundary conditions used in initial-boundary value problem formulation of nonlinear shallow-water wave propagation over a linear slope. We first demonstrate the reflection of wave velocity in the case of Dirichlet condition and that of water elevation in the case of Neumann condition. We then show that linear superposition of the two boundary conditions results in much less reflection at the artificial boundary. We also propose a new boundary condition of mixed type and compare its results with that of the aforementioned conditions. (C) 2020 Elsevier B.V. All rights reserved.
Açıklama
Anahtar Kelimeler
Shallow-water waves, Nonlinear theory, Analytical solution, Hodograph transformation, Boundary condition
Kaynak
Physics Letters A
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
384
Sayı
13
