A numerical method for solving incompressible viscous flow problems
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
On unsymmetric collocation by radial basis functions
Applied Mathematics and Computation
Scattered node compact finite difference-type formulas generated from radial basis functions
Journal of Computational Physics
Meshfree explicit local radial basis function collocation method for diffusion problems
Computers & Mathematics with Applications
Stabilization of RBF-generated finite difference methods for convective PDEs
Journal of Computational Physics
Compact local integrated-RBF approximations for second-order elliptic differential problems
Journal of Computational Physics
Optimal constant shape parameter for multiquadric based RBF-FD method
Journal of Computational Physics
Stable Computations with Gaussian Radial Basis Functions
SIAM Journal on Scientific Computing
Optimal variable shape parameter for multiquadric based RBF-FD method
Journal of Computational Physics
A compact five-point stencil based on integrated RBFs for 2D second-order differential problems
Journal of Computational Physics
Computers & Mathematics with Applications
Hi-index | 31.47 |
A 'local' radial basic function (RBF) based gridfree scheme has been developed to solve unsteady, incompressible Navier-Stokes equations in primitive variables. The velocity-pressure decoupling is obtained by making use of a fractional step algorithm. The scheme is validated over a variety of benchmark problems and found a very good agreement with the existing results. Comparisons with the benchmark solutions show that the developed local RBF gridfree scheme is stable and produces accurate results on domains discretized even with non-uniform distribution of nodal points.