A mass-conservative predictor-corrector solution to the 1D Richards equation with adaptive time control
نویسندگان
چکیده
The predictor-corrector-type (P-C) numerical solution to the 1D Richards equation only requires one matrix inversion operation per time step, making it attractive in terms of computational cost. However, mass conservation could be violated at saturated-unsaturated interface. A new post-allocation procedure is designed for P-C method, which redistributes moisture after corrector step achieve strict balance. novel adaptive time-stepping strategy proposed further improve model efficiency and robustness. It adjusts size based on both difference Courant number. method control strategies are tested compared with an analytical solution, previous other existing iterative solutions. shows good property agreements Compared methods that occasionally experience convergence issues, more robust. time-control improves original but remains less efficient than most scenarios because its explicit treatment step.
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ژورنال
عنوان ژورنال: Journal of Hydrology
سال: 2021
ISSN: ['2589-9155']
DOI: https://doi.org/10.1016/j.jhydrol.2020.125809