AN INTERPOLATION-CORRECTED MODIFIED METHOD OF CHARACTERISTICS TO SOLVE ADVECTION-DISPERSION EQUATIONS

Numerical dispersion, numerical oscillation, and peak clipping are com mon numerical difficulties in solving advection-dispersion equations. The development of numerical approaches that can handle these numerica l difficulties with reasonable computational efforts is an ongoing cha llenge. In this paper, an interpolation-corrected modified method of c haracteristics (ICMMOC) is proposed for solving advection-dispersion e quations. The ICMMOC is an improved version of the modified method of characteristics (MMOC). It uses a high-order (second-order or higher) interpolation scheme to reduce numerical dispersion and an interpolati on-correction procedure to eliminate numerical oscillation. A simple p eak capturing scheme to overcome the peak clipping problem is also dev eloped in this study. Simulation results show that the ICMMOC is able to overcome the aforementioned numerical difficulties for a large rang e of grid Peclet numbers. Copyright (C) 1996 Elsevier Science Ltd