Meshless solution of two-dimensional incompressible flow problems using the radial basis integral equation method

DOI10.1016/j.apm.2013.04.035zbMath1426.76107OpenAlexW1976444147MaRDI QIDQ1791465

Viktor Popov, Ean Hin Ooi

Publication date: 10 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.04.035

zbMATH Keywords

Navier-Stokes equationsradial basis functionscomputational fluid dynamicsmeshless methodvelocity-vorticity formulationsubdomain approach

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

Dispersion analysis of the meshless local boundary integral equation and radial basis integral equation methods for the Helmholtz equation, Numerical investigation of the meshless radial basis integral equation method for solving 2D anisotropic potential problems, One-stage method of fundamental and particular solutions (MFS-MPS) for the steady Navier-Stokes equations in a lid-driven cavity, Meshless modeling of natural convection problems in non-rectangular cavity using the variational multiscale element free Galerkin method, Transition of thermally induced flow in a square cavity using an iterative predictor–corrector meshfree approach, Meshless boundary node methods for Stokes problems

Cites Work

• A meshless solution to two-dimensional convection-diffusion problems
• Analysis of three-dimensional natural convection of nanofluids by BEM
• Domain decomposition boundary element method with overlapping sub-domains
• Boundary domain integral method for high Reynolds viscous fluid flows in complex planar geometries
• Velocity-vorticity formulation for 3D natural convection in an inclined enclosure by BEM
• An advanced meshless LBIE/RBF method for solving two-dimensional incompressible fluid flows
• The accuracy of finite difference schemes for the numerical solution of the Navier-Stokes equations
• A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
• Particular solutions of Laplacian, Helmholtz-type, and polyharmonic operators involving higher order radial basis functions
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Numerical modelling and investigation of symmetric and asymmetric cavitation bubble dynamics
• A steepest gradient method for optimum structural design
• Computational fluid dynamics by boundary-domain integral method
• An efficient implementation of the radial basis integral equation method