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Numerical Treatments of Green-Naghdi Model in Non-Rotating Shallow Fluid Layer

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inferredcites →https://doi.org/10.1007/s11804-010-9031-yopenalex-extracted
Fully nonlinear shallow water waves simulation using Green-Naghdi theory
inferredcites →https://doi.org/10.1007/s11804-011-1066-1openalex-extracted
Green-Naghdi theory, part A: Green-Naghdi (GN) equations for shallow water waves
inferredcites →https://doi.org/10.1007/s40722-014-0009-8openalex-extracted
High-level Green–Naghdi wave models for nonlinear wave transformation in three dimensions
inferredcites →https://doi.org/10.1016/b978-088415380-1/50020-0openalex-extracted
The Green-Naghdi Theory Of Fluid Sheets For Shallow-Water Waves
inferredcites →https://doi.org/10.1016/j.apm.2017.01.030openalex-extracted
A discontinuous Galerkin method for a new class of Green–Naghdi equations on simplicial unstructured meshes
inferredcites →https://doi.org/10.1016/j.apm.2021.04.028openalex-extracted
Modeling positive surge propagation in open channels using the Serre-Green-Naghdi equations
inferredcites →https://doi.org/10.1016/j.cma.2017.11.001openalex-extracted
An explicit hybridized discontinuous Galerkin method for Serre–Green–Naghdi wave model
inferredcites →https://doi.org/10.1016/j.cnsns.2016.10.009openalex-extracted
Conservative modified Serre–Green–Naghdi equations with improved dispersion characteristics
inferredcites →https://doi.org/10.1016/j.cnsns.2018.07.029openalex-extracted
The solution of nonlinear Green–Naghdi equation arising in water sciences via a meshless method which combines moving kriging interpolation shape functions with the weighted essentially non–oscillatory method
inferredcites →https://doi.org/10.1016/j.coastaleng.2013.10.010openalex-extracted
Application of higher-level GN theory to some wave transformation problems
inferredcites →https://doi.org/10.1016/j.euromechflu.2021.04.004openalex-extracted
Variational generalization of the Green–Naghdi and Whitham equations for fluid sloshing in three-dimensional rotating and translating coordinates
inferredcites →https://doi.org/10.1016/j.jcp.2009.11.021openalex-extracted
A numerical scheme for the Green–Naghdi model
inferredcites →https://doi.org/10.1016/j.jcp.2010.03.048openalex-extracted
The combined Lagrangian advection method
inferredcites →https://doi.org/10.1016/j.jcp.2010.06.009openalex-extracted
A pseudo-spectral algorithm and test cases for the numerical solution of the two-dimensional rotating Green–Naghdi shallow water equations
inferredcites →https://doi.org/10.1016/j.jcp.2010.11.015openalex-extracted
A splitting approach for the fully nonlinear and weakly dispersive Green–Naghdi model
inferredcites →https://doi.org/10.1016/j.jcp.2020.109637openalex-extracted
Combined Hybridizable Discontinuous Galerkin (HDG) and Runge-Kutta Discontinuous Galerkin (RK-DG) formulations for Green-Naghdi equations on unstructured meshes
inferredcites →https://doi.org/10.1017/jfm.2019.47openalex-extracted
On the regularity of the Green–Naghdi equations for a rotating shallow fluid layer
inferredcites →https://doi.org/10.1017/jfm.2020.451openalex-extracted
Experimental and numerical studies on internal solitary waves with a free surface
inferredcites →https://doi.org/10.1017/jfm.2020.487openalex-extracted
The validity of two-dimensional models of a rotating shallow fluid layer
inferredcites →https://doi.org/10.1017/jfm.2023.746openalex-extracted
The magnetic non-hydrostatic shallow-water model
inferredcites →https://doi.org/10.1017/s0022112076002425openalex-extracted
A derivation of equations for wave propagation in water of variable depth
inferredcites →https://doi.org/10.1017/s0022112085002488openalex-extracted
Weakly dispersive nonlinear gravity waves
inferredcites →https://doi.org/10.1017/s0022112088003222openalex-extracted
On direct methods in water-wave theory
inferredcites →https://doi.org/10.1017/s0956792513000168openalex-extracted
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
inferredcites →https://doi.org/10.1061/(asce)0733-950x(1995)121:5(251)openalex-extracted
Time-Dependent Numerical Code for Extended Boussinesq Equations
inferredcites →https://doi.org/10.1063/1.1537690openalex-extracted
Dispersive shallow water magnetohydrodynamics
inferredcites →https://doi.org/10.1063/1.2116747openalex-extracted
Shallow water equations with a complete Coriolis force and topography
inferredcites →https://doi.org/10.1063/1.866587openalex-extracted
Hamiltonian structure for two-dimensional hydrodynamics with nonlinear dispersion
inferredcites →https://doi.org/10.1063/1.869009openalex-extracted
Different approximations of shallow fluid flow over an obstacle
inferredcites →https://doi.org/10.1063/5.0031238openalex-extracted
The one-dimensional Green–Naghdi equations with a time dependent bottom topography and their conservation laws
inferredcites →https://doi.org/10.1063/5.0057707openalex-extracted
Balance in non-hydrostatic rotating shallow-water flows
inferredcites →https://doi.org/10.1080/14786447608639037openalex-extracted
XXXII. On waves
inferredcites →https://doi.org/10.1088/1361-6544/aa712dopenalex-extracted
A rapid numerical method for solving Serre–Green–Naghdi equations describing long free surface gravity waves
inferredcites →https://doi.org/10.1098/rspa.2000.0702openalex-extracted
A laboratory study of the focusing of transient and directionally spread surface water waves
inferredcites →https://doi.org/10.1115/1.4055484openalex-extracted
Diffraction and Refraction of Nonlinear Waves by the Green–Naghdi Equations
inferredcites →https://doi.org/10.1680/jencm.16.00021openalex-extracted
One-dimensional and two-dimensional Green–Naghdi equations for sloshing in shallow basins
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