Topographic uncertainty quantification for flow-like landslide models via stochastic simulations

Stochastic simulations of ocean waves: An uncertainty quantification study

Keywords: Ocean wave modeling Uncertainty quantification Generalized polynomial chaos Sparse grid collocation Sensitivity analysis Karhunen–Loeve decomposition a b s t r a c t The primary objective of this study is to introduce a stochastic framework based on generalized polynomial chaos (gPC) for uncertainty quantification in numerical ocean wave simulations. The techniques we present can be e...

Quantification of Uncertainty in Flow Simulations Using Probabilistic Methods

Uncertainty quantification in Discrete Fracture Network models: Stochastic fracture transmissivity

We consider flows in fractured media, described by Discrete Fracture Network (DFN) models. We perform an Uncertainty Quantification analysis, assuming the fractures’ transmissivity coefficients to be random variables. Two probability distributions (log-uniform and log-normal) are used within different laws that express the coefficients in terms of a family of independent stochastic variables; t...

Sparse multiresolution stochastic approximation for uncertainty quantification

Most physical systems are inevitably affected by uncertainties due to natural variabili-ties or incomplete knowledge about their governing laws. To achieve predictive computer simulations of such systems, a major task is, therefore, to study the impact of these uncertainties on response quantities of interest. Within the probabilistic framework, uncertainties may be represented in the form of r...

Modeling Uncertainty in Flow Simulations via Generalized Polynomial Chaos

We present a new algorithm to model the input uncertainty and its propagation in incompressible flow simulations. The stochastic input is represented spectrally by employing orthogonal polynomial functionals from the Askey scheme as trial basis to represent the random space. A standard Galerkin projection is applied in the random dimension to obtain the equations in the weak form. The resulting...