Core Ideas The numerical solution of Richards' equation remains challenging. Space/time
discretization affects both computational effort and accuracy. Adaption of space and time …

Modeling variably saturated flow in the vadose zone is of vital importance to many scientific
fields and engineering applications. Richardson–Richards equation (RRE, which is …

The Lambert W function is defined to be the multivalued inverse of the function w→ we w. It
has many applications in pure and applied mathematics, some of which are briefly …

Moisture dynamics in brick, stone and concrete has a controlling influence on the durability
and performance of the built environment. Water Transport in Brick, Stone and Concrete …

We derive an analytic solution for the capillary rise of liquids in a cylindrical tube or a porous
medium in terms of height h as a function of time t. The implicit t (h) solution by Washburn is …

The Lambert W is a transcendental function defined by solutions of the equation W exp (W)=
x. For real values of the argument, x, the W-function has two branches, W0 (the principal …

The extraction of the photovoltaic (PV) model parameters remains to this day a long-
standing and popular research topic. Numerous methods are available in the literature …

Modeling water flow in unsaturated soils is crucial in geotechnical practice. Nowadays, the
physics informed neural network (PINN) is gaining popularity in solving the Richardson …

Most laboratory assays take advantage of multi-step protocols to achieve high performance,
but conventional paper-based tests (eg, lateral flow tests) are generally limited to assays that …

Abstract The Penman‐Monteith equation is used widely to estimate evapotranspiration (E)
and to understand its governing physics. I present an alternative to the Penman‐Monteith …