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Título del libro: Computational Methods In Subsurface Hydrology
Título del capítulo: Time-discretization strategies for the numerical solution of the nonlinear Richard's equation

Autores UNAM:
ALVARO ALBERTO ALDAMA RODRIGUEZ;
Autores externos:

Idioma:
Inglés
Año de publicación:
1990
Palabras clave:

Fluid Mechanics - Computation; Mathematical Techniques - Numerical Methods; Implicit Factored Method; Partial Saturation; Richards Equation; Time Discretization; Flow of Fluids


Resumen:

The transient, nonlinear Richards' equation describing flow in partially saturated porous media is solved numerically using several time-discretization strategies. The aim of the research is to compare the computational efficiency of conventional iterative schemes with several newer non-iterative formulations. The Implicit Factored method in particular appears to be an attractive alternative because of its high accuracy and two-level nature. The performance of the different schemes is evaluated over a range of accuracy levels, using both the standard form of Richards' equation and a modified form with a forcing term added (allowing comparisons with an exact solution). The limitations and advantages of the different time-discretization approaches are discussed.


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