Method of analyzing contaminant transport under cauchy boundary conditions using improved lagrangian-eulerian method

A method of analyzing contaminant transport under Cauchy boundary conditions using an improved Lagrangian-Eulerian method, which is configured to execute, on a computer, a series of processes for solving problems of a conventional Lagrangian-Eulerian method able to analyze only high Peclet numbers, by analyzing a new numerical matrix constructed in such a manner that a Eulerian method is applied to an element adjacent to the Cauchy boundary conditions and the conventional Lagrangian-Eulerian method is applied to an internal element, in order to numerically analyze contaminant transport in groundwater,

• wherein the series of processes comprise:
• deriving a governing equation showing dispersion and advection of contaminant species from a law of conservation of mass;
• applying Cauchy boundary to the governing equation;
• performing numerical development by applying a Lagrangian-Eulerian method to an element or cell not present on the Cauchy boundary;
• and
• performing numerical development by applying a Eulerian method to an element or cell present on the Cauchy boundary, thus enabling accurate numerical analysis of contaminant transport not only at high Peclet numbers but also at low Peclet numbers under the Cauchy boundary conditions.