Journal
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volume 97, Issue 1-2, Pages 2-17Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160.2018.1444160
Keywords
Soil moisture; Richards equation; hydrological modelling; landslide hazard; slope stability analysis
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Numerical simulation models of water flow in variably saturated soils are important tools in water resource management, assessment of water-related disasters and agriculture. Richards equation is one of the most used models for the fluid flow simulation into porous media. It is a partial differential equation whereby analytical solutions are only possible after applying a number of restrictive assumptions. Therefore, the derivation of efficient numerical schemes for its approximated solution has to be computed by discretization methods. We propose a numerical procedure considering a simplified linearization scheme that makes it adaptable to parallel computing. A comparison in computational performances with three other numerical procedures is detailed for a large computation, including the assessment of the landslide hazard in real areas. We demonstrate the efficiency of the proposed numerical procedure by comparing the results we obtained with a parallel code.
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