Numerical solution of moving boundary problems using a new hybrid grid and Meshless method

摘要

In the present paper, a new hybrid numerical technique is developed to solve phase change problems with moving boundaries. A hybrid collocation and grid method based radial basis function is derived herein with simultaneous numerical iterative algorithm to solve moving boundary problems. The new proposed method has the advantages of both grid and mesh-less methods. Two test practical problems are solved, the first is the dissolution in binary alloys and the second is the solidification in a two dimensions prism. For the first test problem, the computed results are compared with available analytical solution, while the second one, no analytical solution available, but the computed results are compared with available numerical results. The results due to the present method were accepted compared with available results.