Integrated, process‐based numerical models in hydrology are rapidly evolving, spurred by
novel theories in mathematical physics, advances in computational methods, insights from …

The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

Numerical models solving the full 2‐D shallow water equations (SWEs) have been
increasingly used to simulate overland flows and better understand the transient flow …

Recent studies have demonstrated the improved computational performance of a computer
algorithm based on a simplification of the shallow water equations—the so‐called local …

В монографии обобщен многолетний опыт авторов по построению математических
моделей формирования речного стока как единой методической, информационной и …

The physics-based modeling of overland flow is accomplished through the numerical
solution of the St. Venant equations. One of the assumptions used in the derivation of the St …

Tracer studies are needed to better understand watershed soil erosion and calibrate
watershed erosion models. For the first time, stable nitrogen and carbon isotopes (δ15N and …

Due to the recent advances in computing and data acquisition technologies, numerical
models solving the 2D shallow water equations (SWEs) are now widely used in predicting …

The Watershed Environmental Hydrology model presents a new approach to the modeling
of hydrologic processes in order to account for the effect of heterogeneity within natural …

A new solution technique for analyzing the overland flows on lands adjacent to stream
networks is presented. Some of the practical short‐comings of the state‐of‐the‐art kinematic …