THE DEVELOPMENT OF HIGH PERFORMANCE NUMELICAL SIMULATION CODE FOR TRANSIENT GROUNDWATER FLOW AND REACTIVE SOLUTE TRANSPORT PROBLEMS BASED ON LOCAL DISCONTINUOUS GALERKIN MEHTOD

Abstract

  The authors develop a numerical code based on Local Discontinuous Galerkin Method for transient groundwater flow and reactive solute transport problems in order to make it possible to do three dimensional performance assessment on radioactive waste repositories at the earliest stage possible. Local discontinuous Galerkin Method is one of mixed finite element methods which are more accurate ones than standard finite element methods. In this paper, the developed numerical code is applied to several problems which are provided analytical solutions in order to examine its accuracy and flexibility. The results of the simulations show the new code gives highly accurate numeric solutions.