Discrete Transparent Boundary Conditions for the Linearized Green--Naghdi System of Equations

DOI10.1137/18M1220248zbMath1434.65121arXiv1710.04016OpenAlexW3007140040MaRDI QIDQ5217600

Maria Kazakova, Pascal Noble

Publication date: 25 February 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04016

zbMATH Keywords

numerical simulationartificial boundary conditionsdispersive equationGreen-Naghdi equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace transform (44A10) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

Related Items (8)

A fast second-order discretization scheme for the linearized Green-Naghdi system with absorbing boundary conditions ⋮ A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry ⋮ Hyperbolic approximation of the BBM equation ⋮ A fast stable accurate artificial boundary condition for the linearized Green-Naghdi system ⋮ Perfectly matched layers methods for mixed hyperbolic-dispersive equations ⋮ Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: applications to the Serre-Green-Naghdi equations ⋮ Freely floating objects on a fluid governed by the Boussinesq equations ⋮ Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach

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