An Efficient Radial Basis Function Meshfree Local Petrov–Galerkin Method for Modeling the Unidirectional Fully Developed Fluid Flow

Abstract

In hydrodynamics the applications range of incompressible flows is very wide. In this study, a robust, high order modeling approach is introduced, based on the MLPG meshfree method-based radial basis functions (RBF-MLPG) method, for solving the incompressible flow field. In other words a MLPG meshfree method based on an interpolation function is presented to solve the 2-D unsteady incompressible fully developed fluid flows. This meshfree method is based on the quartic (4 th order) spline. The method is then compared against the Finite Element Method on a test case of unidirectional fully developed incompressible fluid. The performance of this weight function proved that the quartic (4th order) spline gains the highest accuracy, convergence and efficiency. Finally, it can be concluded that the presented method is formidable for simulating fluid dynamics.

Forecasting Grain Production and Static Capacity of Warehouses Using the Natural Neighbor and Multiquadric Equations

“…The spatial interpolation methods NN and the radial basis function, also known as the study of multiquadric equations, allow the knowledge of the spatial behavior of variables at non-sampled locations, facilitating the decisionmaking(Sampedro et al, 2019;Millan et al, 2020). The multiquadric equations it allows interpolating qualitative variables, which often appears in studies related to precision agriculture(Saeedpanah et al, 2020).…”