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Adaptive Modified Method of Characteristics to Solve the One-Dimensional Solute Transport Equation

Dep. of Agronomy and Soils

O. Güven

Dep. of Civil Engineering, Auburn Univ., Auburn University, AL 36849

*Corresponding author (jdane{at}ag.auburn.edu).

ABSTRACT

Simulation of advection-dominated solute transport in a porous medium is complicated due to the inherent problems of numerical dispersion and oscillation. We propose an adaptive modified method of characteristics (AMMOC) to simulate one-dimensional, advection-dominated solute transport problems, which incorporates the advantage of a self-adaptive spatial grid system with the computational power of the modified method of characteristics (MMOC) to deal with numerical dispersion and oscillation. The numerical simulations, including a pure advection problem, show that the AMMOC is free of oscillation, approximately global mass conservative, and exhibits insignificant numerical dispersion. Related to this method, three interpolation schemes to obtain the concentration of the fictitious particle at the previous time step were also evaluated. Our simulations show that the AMMOC, based on a clipped quadratic interpolation scheme, provides the most accurate results.

Contribution from the Alabama Agric. Exp. Stn. as AAES Journal no. 3-944790.

Received for publication May 23, 1994.

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