A high order meshless method with compact support

DOI10.1016/J.JCP.2014.04.010zbMath1349.76532OpenAlexW2044393847MaRDI QIDQ349306

D. Shyam Sundar, Khoon Seng Yeo

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.04.010

zbMATH Keywords

interpolationdiffusionadvectionleast squaresfinite differencepolynomialcompactdriven cavityhigh orderNavier-StokesPoissonnon-linearmeshless

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

Higher order meshless approximation applied to finite difference and finite element methods in selected thermomechanical problems ⋮ Compact moving least squares: an optimization framework for generating high-order compact meshless discretizations ⋮ Construction of the High Order Accurate Generalized Finite Difference Schemes for Inviscid Compressible Flows ⋮ High order compact generalized finite difference methods for solving inviscid compressible flows ⋮ New very high-order upwind multi-layer compact (MLC) schemes with spectral-like resolution for flow simulations

Uses Software

• GAMBIT
• Unnamed Item

Cites Work

• Unnamed Item
• A stabilized MLPG method for steady state incompressible fluid flow simulation
• Optimal error bounds for the derivatives of two point Hermite interpolation
• A generalized finite-difference (GFD) ALE scheme for incompressible flows around moving solid bodies on hybrid meshfree-Cartesian grids
• Semi discrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge-Kutta time discretizations
• Compact finite difference schemes with spectral-like resolution
• \(hp\)-meshless cloud method
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Spectral difference method for unstructured grids. I. Basic formulation
• Least‐squares collocation meshless method
• A three-dimensional hybrid meshfree-Cartesian scheme for fluid-body interaction
• A new meshless collocation method for partial differential equations
• Surfaces Generated by Moving Least Squares Methods
• Reproducing kernel particle methods
• Numerical Solution of the Navier-Stokes Equations
• A three‐dimensional computational procedure for reproducing meshless methods and the finite element method

This page was built for publication: A high order meshless method with compact support