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The Richards equation represents the movement of water in unsaturated soils, and is attributed to Lorenzo A. Richards who published the equation in 1931. [1] It is a quasilinear partial differential equation; its analytical solution is often limited to specific initial and boundary conditions. [2]
The function is sometimes named Richards's curve after F. ... which is the solution of the Richards's differential equation (RDE): ...
Infiltration is a component of the general mass balance hydrologic budget. There are several ways to estimate the volume and water infiltration rate into the soil. The rigorous standard that fully couples groundwater to surface water through a non-homogeneous soil is the numerical solution of Richards' equation.
Lorenzo A. Richards was born on April 24, 1904, in the town of Fielding, Utah, and received a B.S. and M.A. degree in physics from Utah State University.He was the grandson of early Mormon leader and pioneer Willard Richards.
The standard logistic function is the logistic function with parameters =, =, =, which yields = + = + = / / + /.In practice, due to the nature of the exponential function, it is often sufficient to compute the standard logistic function for over a small range of real numbers, such as a range contained in [−6, +6], as it quickly converges very close to its saturation values of 0 and 1.
SVFLUX makes use of a general finite element solver to solve the Richards equation for both saturated and unsaturated flow. The finite element solver makes use of automatic mesh generation and automatic mesh refinement in order to aid in problem solution. The software has been used on large projects including the Questa Weathering Study which ...
The Richardson number (Ri) is named after Lewis Fry Richardson (1881–1953). [1] It is the dimensionless number that expresses the ratio of the buoyancy term to the flow shear term: [2]
Richard Streit Hamilton (January 10, 1943 – September 29, 2024) was an American mathematician who served as the Davies Professor of Mathematics at Columbia University. Hamilton is known for contributions to geometric analysis and partial differential equations, and particularly for developing the theory of Ricci flow.