Time Solution of Kinematic‐Wave Model with Stochastic Infiltration

Abstract

A kinematic‐wave furrow model with spatial variability of infiltration is developed to solve directly for advance times. In addition, infiltration varies with wetted perimeter. During advance, the system of nonlinear equations is solved implicitly for flow area and time step using the double‐sweep technique. During runoff and recession, flow area is found explicitly cell‐by‐cell at each specified time step. Including spatially varying infiltration as well as wetted perimeter effects improves furrow irrigation simulation when compared with the results of previous kinematic‐wave models.