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Dispersion in shallow moment equations (Q6593795)

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scientific article; zbMATH DE number 7902388

Language	Label	Description	Also known as
English	Dispersion in shallow moment equations	scientific article; zbMATH DE number 7902388

Statements

scholarly article

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Dispersion in shallow moment equations (English)

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Communications on Applied Mathematics and Computation

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publication date

27 August 2024

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zbMATH Keywords

shallow flow

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free surface flow

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non-hydrostatic model

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dispersive equations

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moment approximation

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hyperbolic systems

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MaRDI profile type

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A two-dimensional depth-averaged \(\mu(I)\)-rheology for dense granular avalanches

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Dispersive Nonlinear Waves in Two‐Layer Flows with Free Surface Part II. Large Amplitude Solitary Waves Embedded into the Continuous Spectrum

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Dispersive Nonlinear Waves in Two‐Layer Flows with Free Surface. I. Model Derivation and General Properties

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A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model

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A semi-implicit finite difference method for non-hydrostatic, free-surface flows

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A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part I: model development and analysis

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An efficient two-layer non-hydrostatic approach for dispersive water waves

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A general non-hydrostatic hyperbolic formulation for Boussinesq dispersive shallow flows and its numerical approximation

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Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme

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A rapid numerical method for solving Serre–Green–Naghdi equations describing long free surface gravity waves

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A hierarchy of dispersive layer-averaged approximations of Euler equations for free surface flows

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Shallow Water Moment Models for Bedload Transport Problems

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A general vertical decomposition of Euler equations: multilayer-moment models

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On the kinetic theory of rarefied gases

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A depth-averaged -rheology for shallow granular free-surface flows

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A derivation of equations for wave propagation in water of variable depth

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Nonlinear shallow fluid flow over an isolated ridge

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Numerical treatment of wave breaking on unstructured finite volume approximations for extended Boussinesq-type equations

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Analysis and Numerical Simulation of Hyperbolic Shallow Water Moment Equations

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Shallow two-component gravity-driven flows with vertical variation

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Moment Approximations and Model Cascades for Shallow Flow

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A numerical scheme for the Green-Naghdi model

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Finite Volume Methods for Hyperbolic Problems

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A ?-coordinate three-dimensional numerical model for surface wave propagation

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A new Boussinesq method for fully nonlinear waves from shallow to deep water

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Weakly dispersive nonlinear gravity waves

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The Korteweg-de Vries equation: a historical essay

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An adaptive discrete-velocity model for the shallow water equations

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Different approximations of shallow fluid flow over an obstacle

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A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry

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Discontinuous Galerkin methods for solving Boussinesq-Green-Naghdi equations in resolving non-linear and dispersive surface water waves

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Long waves on a beach

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Further accuracy and convergence results on the modeling of flows down inclined planes by weighted-residual approximations

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The motion of a finite mass of granular material down a rough incline

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Shallow-water flow solver with non-hydrostatic pressure: 2D vertical plane problems

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Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation

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Modeling nonequilibrium gas flow based on moment equations

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A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S42967-023-00325-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:6593795

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