Abstract. An adaptive moving mesh method is presented for numerical simulation of two dimensional groundwater flow and transport problems. A selection of problems are considered, including advection dominated chemical transport and reaction, solute transport from contamination sources, transport of nonaqueous phase liquids (NAPLs) in an aquifer, and coupling of groundwater flow with NAPL transport. Numerical results show that the adaptive moving mesh method is able to capture sharp moving fronts and detect the emerging of new fronts.