Abstract
Accurate modeling of contamination in subsurface flow and water aquifers is crucial for agriculture and environmental protection. Here, we demonstrate a parallel method to quantify the propagation of the uncertainty in the dispersal of pollution in density-driven flow. We solve an Elder-like problem, where we use random fields to model the limited knowledge on the porosity and permeability. The uncertain solution, mass fraction, is approximated via low-cost generalized polynomial chaos expansion (gPCE). Parallelization is done in both the physical and parametric spaces.
Original language | English (US) |
---|---|
Journal | PAMM |
Volume | 19 |
Issue number | 1 |
DOIs | |
State | Published - Nov 18 2019 |
Bibliographical note
KAUST Repository Item: Exported on 2021-04-16Acknowledgements: This work was supported by the King Abdullah University of Science and Technology (KAUST) and by the Alexan-der von Humboldt Foundation. We used the resources of the Supercomputing Laboratory at KAUST, under the development project k1051.