Abstract

ABSTRACTThe Domenico solution is a heuristic simplification of a solution to the transport equation. Although there is a growing consensus that the Domenico solution is undesirable for use in professional and research applications due to departures from exact solutions under certain conditions, it behaves well under conditions suitable for instruction. Moreover, the solution is easily programmed into spreadsheets, and incorporated into classroom exercises that illustrate the basic processes of advection, dispersion, retardation, evaluation of the error and complimentary error functions, sensitivity analyses, and Monte Carlo simulations. Exercises of these kinds provide students in introductory (e.g., students with no previous exposure to the subject) or intermediate courses (e.g., students having completed previous, related course work) with bottom-up experience preparing models, without a full commitment to learning a programming language. This frees the students to spend more time learning the physical processes, the parameter relationships, and experiencing the steps of moving from the equations to a computer code. A student survey and an instructor evaluation of a class project (class of 11 students) both indicated success in student learning at the levels desired for the course.

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