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Kumar, P. (author), Rodrigo, Carmen (author), Gaspar, Francisco J. (author), Oosterlee, C.W. (author)We present a multilevel Monte Carlo (MLMC) method for the uncertainty quantification of variably saturated porous media flow that is modeled using the Richards equation. We propose a stochastic extension for the empirical models that are typically employed to close the Richards equations. This is achieved by treating the soil parameters in...journal article 2019
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Kumar, P. (author), Luo, P. (author), Gaspar, Francisco J. (author), Oosterlee, C.W. (author)A multilevel Monte Carlo (MLMC) method for Uncertainty Quantification (UQ) of advection-dominated contaminant transport in a coupled Darcy–Stokes flow system is described. In particular, we focus on high-dimensional epistemic uncertainty due to an unknown permeability field in the Darcy domain that is modelled as a lognormal random field....journal article 2018