A stabilized meshless method for time-dependent convection-dominated flow problems

DOI10.1016/j.matcom.2016.11.003OpenAlexW2550246978MaRDI QIDQ2229061

Ahmed Taik, Abdoul-hafar Halassi, Mohammed Seaid, Driss Ouazar, Fayssal Benkhaldoun

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2016.11.003

zbMATH Keywords

incompressible Navier-Stokes equationsradial basis functionsmodified method of characteristicsmeshless methodconvection-dominated flows

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

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Cites Work

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• A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains
• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Local radial basis function based gridfree scheme for unsteady incompressible viscous flows
• A simple finite volume method for the shallow water equations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Meshless methods: An overview and recent developments
• A novel upwind-based local radial basis function differential quadrature method for convection-dominated flows
• A new implementation of the finite collocation method for time dependent PDEs
• Slope limiters for radial basis functions applied to conservation laws with discontinuous flux function
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Compactly supported radial basis functions for shallow water equations.
• An upwind local RBF-DQ method for simulation of inviscid compressible flows
• A local integral equation formulation to solve coupled nonlinear reaction-diffusion equations by using moving least square approximation
• A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation
• A Finite Element Alternating-Direction Method Combined with a Modified Method of Characteristics for Convection-Diffusion Problems
• An essentially non-oscillatory semi-Lagrangian method for tidal flow simulations
• A note on radial basis function interpolant limits
• Scattered Data Interpolation: Tests of Some Method
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Godunov-Mixed Methods for Advective Flow Problems in One Space Dimension
• Radial Basis Functions
• Calculating the Singular Values and Pseudo-Inverse of a Matrix
• Scattered Data Approximation