Meshless schemes for unsteady Navier--Stokes equations in vorticity formulation using radial basis functions

DOI10.1016/j.cam.2005.05.011zbMath1092.76050OpenAlexW2004818786MaRDI QIDQ2491653

Yunxin Zhang, Yong-ji Tan

Publication date: 29 May 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.05.011

Mathematics Subject Classification ID

Related Items (14)

The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: application to the heat equation ⋮ Numerical simulation based on meshless technique to study the biological population model ⋮ Meshless numerical model based on radial basis function (RBF) method to simulate the Rayleigh-Taylor instability (RTI) ⋮ Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method ⋮ A new spectral meshless radial point interpolation (SMRPI) method for the two-dimensional Fredholm integral equations on general domains with error analysis ⋮ Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method ⋮ On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations ⋮ Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model ⋮ A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms ⋮ Spectral meshless radial point interpolation (SMRPI) method to two-dimensional fractional telegraph equation ⋮ Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique ⋮ Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation ⋮ Meshfree point collocation method for the stream-vorticity formulation of 2D incompressible Navier-Stokes equations ⋮ Local radial basis function interpolation method to simulate 2D fractional‐time convection‐diffusion‐reaction equations with error analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Finite difference schemes for incompressible flow based on local pressure boundary conditions
• Analysis of an exact fractional step method
• High-order accurate solution of the incompressible Navier--Stokes equations
• Application of a fractional-step method to incompressible Navier-Stokes equations
• Multiquadric method for the numerical solution of a biphasic mixture model
• Solving partial differential equations by collocation using radial basis functions
• Approximation of function and its derivatives using radial basis function networks
• A new class of truly consistent splitting schemes for incompressible flows
• High order finite difference methods for unsteady incompressible flows in multi-connected domains.
• A high-order discontinuous Galerkin method for 2D incompressible flows
• Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation
• A compact higher-order finite difference method for the incompressible Navier-Stokes equations
• A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations.
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• On unsymmetric collocation by radial basis functions
• Vorticity boundary condition and related isssues for finite difference schemes
• Essentially compact schemes for unsteady viscous incompressible flows
• An overview of projection methods for incompressible flows
• Time step restrictions using semi-explicit methods for the incompressible Navier-Stokes equations
• Solve partial differential equations by meshless subdomains method combined with RBFs
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Gauge method for viscous incompressible flows
• Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks
• A numerical method for heat transfer problems using collocation and radial basis functions
• Block factorized preconditioners for high-order accurate in time approximation of the Navier-Stokes equations
• A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• On the Convergence of Discrete Approximations to the Navier-Stokes Equations
• Numerical Solution of the Navier-Stokes Equations
• Accurate projection methods for the incompressible Navier-Stokes equations
• Canonical fractional-step methods and consistent boundary conditions for the incompressible Navier-Stokes equations

This page was built for publication: Meshless schemes for unsteady Navier--Stokes equations in vorticity formulation using radial basis functions