A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique
type: Item
instance of: scholarly article
title: A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique
author: Po-Wei Li
author: C. M. Fan
author: Jakub Krzysztof Grabski
published in: Engineering Analysis with Boundary Elements
publication date: 2021-09-03T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 76-XX
zbMATH DE Number: 7390972
zbMATH Keywords: meshless numerical method
zbMATH Keywords: shallow water equations
zbMATH Keywords: hyperbolic system
zbMATH Keywords: generalized finite difference method
zbMATH Keywords: flux limiter
Wikidata QID: Q114183244
MaRDI profile type: Publication
full work available at URL: j.enganabound.2021.06.022
OpenAlex ID: W3177906812
cites work: Generalized finite difference method for two-dimensional shallow water equations
cites work: Open-Channel Flow
cites work: Solution of shallow-water equations using least-squares finite-element method
cites work: Application of weighted-least-square local polynomial approximation to 2D shallow water equation problems
cites work: The \(\lambda\)-scheme
cites work: On two upwind finite-difference schemes for hyperbolic equations in non- conservative form
cites work: Q5558541
cites work: A method for reducing dispersion in convective difference schemes
cites work: Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
cites work: High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
cites work: On the design of general-purpose flux limiters for finite element schemes. I: Scalar convection
cites work: High resolution schemes for hyperbolic conservation laws
cites work: New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
cites work: Slope limiters for radial basis functions applied to conservation laws with discontinuous flux function
cites work: Q4948551
cites work: Application of localized meshless methods to 2D shallow water equation problems
cites work: Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method
cites work: Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
cites work: Bending analysis of simply supported and clamped thin elastic plates by using a modified version of the LMFS
cites work: Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations
cites work: Local knot method for 2D and 3D convection-diffusion-reaction equations in arbitrary domains
cites work: A novel localized collocation solver based on Trefftz basis for potential-based inverse electromyography
cites work: A novel RBF collocation method using fictitious centres
cites work: Ghost point method using RBFs and polynomial basis functions
cites work: A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients
cites work: A novel meshless space-time backward substitution method and its application to nonhomogeneous advection-diffusion problems
cites work: Influence of several factors in the generalized finite difference method
cites work: Solving parabolic and hyperbolic equations by the generalized finite difference method
cites work: Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media
cites work: Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition
cites work: Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures
cites work: A spatial-temporal GFDM with an additional condition for transient heat conduction analysis of FGMs
cites work: Space-time generalized finite difference nonlinear model for solving unsteady Burgers' equations
DOI: 10.1016/J.ENGANABOUND.2021.06.022
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description: scientific article; zbMATH DE number 7390972