Fluid flow modeling using meshless local Petrov-Galerkin (MLPG) method by Radial Basis Function

In this study first the meshless local Petrov-Galerkin (MLPG) method by Radial Basis Function (RBF) has been explained entirely. In this way the governing channel flow expression that is expanded. The Results show that MLPG method presented high accuracy and capability for solving the governing equation of the problem. Also, The seepage problem in steady state form is analyzed by the written code in MatLab . On the other hand the velocity field is approximated in middle of nodes by RBF (MatLab code was adopted) in the uniform flow in a sloped channel problem. Finally in the fluid flow in dam breaking problem, the Mass and momentum conservation laws are governing equations of flow which are solved by pressure correction in Lagrangian approach and compared with another methods results. The obtain results explain that Application of meshless method in Fluid flow modeling in hydraulic Problem the applicability and efficiency of the meshless local Petrov-Galerkin method by Radial Basis Function method.