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Impacts of effective stress on predictions of non-hydrostatic shallow flow model in basins with different bathymetry

https://doi.org/10.2139/ssrn.5759448
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Structure‐Preserving Approximations of the Serre‐Green‐Naghdi Equations in Standard and Hyperbolic Form
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Seasonal circulation and influence factors of the Bohai Sea: a numerical study based on Lagrangian particle tracking method
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Tracer advection in a pair of adjacent side-wall cavities, and in a rectangular channel containing two groynes in series
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Tracer advection in an idealised river bend with groynes
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Dispersion in Shallow Moment Equations
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A discontinuous Galerkin method for a new class of Green–Naghdi equations on simplicial unstructured meshes
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Modeling positive surge propagation in open channels using the Serre-Green-Naghdi equations
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Conservative modified Serre–Green–Naghdi equations with improved dispersion characteristics
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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
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Application of higher-level GN theory to some wave transformation problems
inferredcites →https://doi.org/10.1016/j.coastaleng.2025.104857openalex-snapshot
Numerical modelling of nearshore wave transformation, breaking and overtopping of coastal protections with the enhanced Serre–Green–Naghdi equations
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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.euromechflu.2025.204350openalex-snapshot
Non-hydrostatic shallow flow model of particle tracking in basin with various bathymetry
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A numerical scheme for the Green–Naghdi model
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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-snapshot
A splitting approach for the fully nonlinear and weakly dispersive Green–Naghdi model
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Combined Hybridizable Discontinuous Galerkin (HDG) and Runge-Kutta Discontinuous Galerkin (RK-DG) formulations for Green-Naghdi equations on unstructured meshes
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Deep learning of inverse water waves problems using multi-fidelity data: Application to Serre–Green–Naghdi equations
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Atmospheric and Oceanic Fluid Dynamics
inferredcites →https://doi.org/10.1017/jfm.2019.47openalex-snapshot
On the regularity of the Green–Naghdi equations for a rotating shallow fluid layer
inferredcites →https://doi.org/10.1017/jfm.2020.487openalex-snapshot
The validity of two-dimensional models of a rotating shallow fluid layer
inferredcites →https://doi.org/10.1017/jfm.2023.746openalex-snapshot
The magnetic non-hydrostatic shallow-water model
inferredcites →https://doi.org/10.1017/s0022112008000141openalex-snapshot
A Lagrangian investigation of the small-scale features of turbulent entrainment through particle tracking and direct numerical simulation
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A derivation of equations for wave propagation in water of variable depth
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Stirring by chaotic advection
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Weakly dispersive nonlinear gravity waves
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Analysis of chaotic mixing in two model systems
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On direct methods in water-wave theory
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Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
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Dispersive shallow water magnetohydrodynamics
inferredcites →https://doi.org/10.1063/1.2116747openalex-snapshot
Shallow water equations with a complete Coriolis force and topography
inferredcites →https://doi.org/10.1063/1.865824openalex-snapshot
Fluid mixing (stretching) by time periodic sequences for weak flows
inferredcites →https://doi.org/10.1063/1.866587openalex-snapshot
Hamiltonian structure for two-dimensional hydrodynamics with nonlinear dispersion
inferredcites →https://doi.org/10.1063/1.869009openalex-snapshot
Different approximations of shallow fluid flow over an obstacle
inferredcites →https://doi.org/10.1063/5.0031238openalex-snapshot
The one-dimensional Green–Naghdi equations with a time dependent bottom topography and their conservation laws
inferredcites →https://doi.org/10.1063/5.0057707openalex-snapshot
Balance in non-hydrostatic rotating shallow-water flows
inferredcites →https://doi.org/10.1080/00221686.2006.9521673openalex-snapshot
Wind-induced chaotic advection in shallow flow geometries. Part I: Circular basins
inferredcites →https://doi.org/10.1080/00221686.2006.9521674openalex-snapshot
Wind-induced chaotic advection in shallow flow geometries. Part II: Non-circular basins
inferredcites →https://doi.org/10.1088/1361-6544/aa712dopenalex-snapshot
A rapid numerical method for solving Serre–Green–Naghdi equations describing long free surface gravity waves
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Lagrangian Transport and Chaotic Advection in Three-Dimensional Laminar Flows
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Chaotic Lagrangian transport and mixing in the ocean
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One-dimensional and two-dimensional Green–Naghdi equations for sloshing in shallow basins
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Derivation of a Viscous Serre–Green–Naghdi Equation: An Impasse?
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