Research on local radial basis function algorithms for solute transport problems in irregular domains
Numerical simulation of groundwater contaminant migration can provide a scientific basis for groundwater pollution prevention and control with great significance.This paper combines the local radial basis function method with the finite difference method for solving solute transport in irregular domains.Compared with the traditional global radial basis function method,the local radial basis function method only needs the adjacent nodes located in the sub-domains to con-struct the interpolation matrix.This can effectively avoid the problems of matrix pathology and sensitivity to shape parame-ters when calculating large matrices by the global radial basis function method and improve the accuracy and stability of the numerical solution.Numerical examples are used to verify the effectiveness of the proposed algorithm in dealing with the problems with irregular domains.In addition,the influence of the shape parameter,the number of total nodes,the number of nodes in the subdomain,the distribution pattern and the boundary shape on the accuracy and robustness of the algorithm is analyzed.
local radial basis functionirregular domainsshape parameterconvection-diffusion equation
万方数据
维普
