Linear and Nonlinear Models of Infiltration From a Point Source

Abstract

Abstract Numerical and analytical solutions for water flow from a point source are compared. The numerical solution was for the nonlinear moisture flow equation and the analytical solution for the corresponding linearized form. For cyclic conditions, results were approximately the same with regard to range in values between the wettest and driest values. However, the numerical results show a faster response both for wetting and drying. Computational times required of the analytical solution were of the order of 1/20 to 1/200th of that required for the finite difference solutions.