Abstract: A physically based infiltration model describing two‐dimensional infiltration from cavities, for example irrigation furrows, is discussed. According to the different stages of model development, three versions with varying ...

Abstract: A new method for describing infiltration during filling and draining of cavities such as, for example, irrigation furrows is presented. The model development decomposes in a first step the two‐dimensional (2D) infiltration ...

Abstract: To sustain productive irrigated agriculture with limited water resources requires a high water use efficiency. This can be achieved by the precise scheduling of deficit irrigation systems taking into account the crops’ ...

Abstract: The determination of water application parameters for creating an optimal soil moisture profile represents a complex nonlinear optimization problem which renders traditional optimization into a cumbersome procedure. For ...

Abstract: The approximate theory of G. B. Witham, proposed in 1955, is often used to initialize numerical computation of border irrigation or a dam-break flood. However, this study shows that the main assumption of a uniform velocity ...

Abstract: A zero‐inertia model is presented to study surface irrigation. The model is based on an analytical solution of the slightly modified zero‐inertia differential equations for level borders and does not contain any restrictions ...

Abstract: A basis for comprehensive analytical models, equations, and their solutions for border or furrow irrigation advance is derived. This basis consists of an analytical solution of the zero‐inertia (ZI) differential equations, ...

Abstract: A zero‐inertia (ZI) model for irrigation advance in furrows (ZIFA) is developed. It is based on an analytical solution of the ZI differential equations and accounts for three principally different approaches to describe ...