Odl. Strack et Md. Fairbrother, NUMERICAL-SOLUTION OF THE DIFFERENTIAL-EQUATION FOR MOVING FRONT DISPERSION, Journal of hydrology, 194(1-4), 1997, pp. 164-179
It is shown that the differential equations presented by Strack (1992,
Water Resour. Res., 28(11): 2973-2980) for moving front dispersion ar
e hyperbolic, and general expressions for the velocity of the front an
d the concentration at the front are presented. The method of solution
known as the method of characteristics (not to be confused with the m
ethod known in groundwater transport modeling as the method of charact
eristics) is presented for solving the system of equations for moving
front dispersion. Jumps are shown to be allowable across the character
istics, and the jump conditions are presented. The numerical method is
outlined for the case of a pulse of concentration at a point of an in
finitely long streamline. The numerical solution is validated by compa
rison with an exact solution.