Hydraulic Model Development for Robust Simulation of Border Irrigation

A completely robust mathematical model of one-dimensional flow in border-irrigated agricultural fields is developed using hydrodynamics equations for stepwise numerical solutions. The model has the capability of successfully simulating all surface irrigation phases, including advance, ponding, depletion, and recession. The model is also able to simulate these phases for a reasonable range of inflow rates, and for longitudinal field slopes of up to 1% in according to the use of the different developed mathematical approach. The model also involves the inclusion of a mathematical optimization algorithm where the field side slope is considered to be zero. It was concluded that von Neumann method help to diminish the shock situation effect during the advance phase, specially, during the simulation at the end of the blocked-end border; in addition, the Volume Balance method works very well to simulate the recession phase; however, its accuracy vary in according the situation when the model is run. Finally, this model has been verified with field measurements in a border-irrigated