Bona–Smith-Type systems in Bounded Domains with Slip-Wall Boundary Conditions: Theoretical Justification and a Conservative Numerical Scheme

Considered herein is a class of Boussinesq systems of Bona–Smith type that describe the propagation of long surface water waves of small amplitude in bounded two-dimensional domains with slip-wall boundary conditions and variable bottom topography. Such boundary conditions are necessary in situation...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 102; no. 1; p. 16
Main Authors:	Antonopoulos, Dimitrios, Mitsotakis, Dimitrios
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.01.2025 Springer Nature B.V
Subjects:	Algorithms Approximation Boundary conditions Boundary value problems Boussinesq equations Computational Mathematics and Numerical Analysis Energy conservation Initial conditions Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Numerical analysis Numerical models Propagation Runge-Kutta method Slip Surface water Theoretical Topography Velocity Vorticity Water conservation Water waves Wave propagation Finite element method Long waves Energy conservation 35Q35 76B25 Boussinesq systems 76M10 Slip-wall conditions
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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