A positivity-preserving and well-balanced high order compact finite difference scheme for shallow water equations (Q6537083)

scientific article; zbMATH DE number 7846837

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English	A positivity-preserving and well-balanced high order compact finite difference scheme for shallow water equations	scientific article; zbMATH DE number 7846837

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instance of

scholarly article

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title

A positivity-preserving and well-balanced high order compact finite difference scheme for shallow water equations (English)

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Communications in Computational Physics

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publication date

14 May 2024

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zbMATH Keywords

well-balanced

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positivity-preserving

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compact finite difference

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MaRDI profile type

Publication

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cites work

Upwind methods for hyperbolic conservation laws with source terms

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Flooding and drying in discontinuous Galerkin finite element discretizations of shallow-water equations. I: One dimension

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Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds

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Fourth-order balanced source term treatment in central WENO schemes for shallow water equations

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TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

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Nonlinearly Stable Compact Schemes for Shock Calculations

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Developing high-order weighted compact nonlinear schemes

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A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying

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A triangular spectral/hp discontinuous Galerkin method for modelling 2D shallow water equations

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High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

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Central-Upwind Schemes for the Saint-Venant System

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Compact finite difference schemes with spectral-like resolution

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Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm

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A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Scalar Convection Diffusion Equations

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High order well-balanced finite difference WENO interpolation-based schemes for shallow water equations

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A well-balanced and positivity-preserving numerical model for shallow water flows in channels with wet-dry fronts

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Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system

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Well-balanced finite volume evolution Galerkin methods for the shallow water equations

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Localized Exponential Time DifferencingMethod for Shallow Water Equations: Algorithms and Numerical Study

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Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows

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High-order well-balanced finite volume WENO schemes for shallow water equation with moving water

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On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems

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Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver.

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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High-order finite-volume methods for the shallow-water equations on the sphere

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High-order well-balanced and positivity-preserving finite-difference AWENO scheme with hydrostatic reconstruction for shallow water equations

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High order finite difference WENO schemes with the exact conservation property for the shallow water equations

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High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

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High-order well-balanced finite difference WENO schemes for a class of hyperbolic systems with source terms

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A Survey of High Order Schemes for the Shallow Water Equations

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Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes

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A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography

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A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

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Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments

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The surface gradient method for the treatment of source terms in the shallow-water equations

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Well-balanced hybrid compact-WENO scheme for shallow water equations

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Numerical solution of the two-dimensional unsteady dam break

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Identifiers

zbMATH Open document ID

1536.65088

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Mathematics Subject Classification ID

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10.4208/CICP.OA-2023-0034

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Sitelinks

Mathematics(1 entry)

mardi Publication:6537083