Application of Meshless local Petrov-Galerkin approach for steady state groundwater flow modeling

Abstract The complicated behavior of groundwater system in an arid aquifer is generally studied by solving the governing equations using either analytical or numerical methods. In this regard, methods are just for some aquifers with regular boundaries. Numerical used aim finite difference (FDM) and element (FEM) which engaged simple aquifers. Using them complex cases irregular boundaries has shortcomings, dependent on meshes. study, meshless local Petrov-Galerkin (MLPG) method based moving kriging (MK) approximation function to simulate flow steady state over three aquifers, two standard a real field aquifer. Moving known as new reduces uncertain parameter. For first aquifer, rectangular MLPG-MK indicates good agreement solutions. second one, conditions get more complicated. However, reveals results accurate than FDM. RMSE FDM 0.066 0.322 m respectively. third Birjand unconfined located Iran investigated. there 190 extraction wells. geometry well. With challenging issues, again shows satisfactory accuracy. As 0.483 0.566 m. therefore, planning closer reality.