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Stochastic discrete equation method (sDEM) for two-phase flows


Abgrall, Rémi; Congedo, Pietro Marco; Geraci, Gianluca; Rodio, Maria Giovanna (2015). Stochastic discrete equation method (sDEM) for two-phase flows. Journal of Computational Physics, 299:281-306.

Abstract

A new scheme for the numerical approximation of a five-equation model taking into account Uncertainty Quantification (UQ) is presented. In particular, the Discrete Equation Method (DEM) for the discretization of the five-equation model is modified for including a formulation based on the adaptive Semi-Intrusive (aSI) scheme, thus yielding a new intrusive scheme (sDEM) for simulating stochastic two-phase flows. Some reference test-cases are performed in order to demonstrate the convergence properties and the efficiency of the overall scheme. The propagation of initial conditions uncertainties is evaluated in terms of mean and variance of several thermodynamic properties of the two phases.

Abstract

A new scheme for the numerical approximation of a five-equation model taking into account Uncertainty Quantification (UQ) is presented. In particular, the Discrete Equation Method (DEM) for the discretization of the five-equation model is modified for including a formulation based on the adaptive Semi-Intrusive (aSI) scheme, thus yielding a new intrusive scheme (sDEM) for simulating stochastic two-phase flows. Some reference test-cases are performed in order to demonstrate the convergence properties and the efficiency of the overall scheme. The propagation of initial conditions uncertainties is evaluated in terms of mean and variance of several thermodynamic properties of the two phases.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Numerical Analysis
Physical Sciences > Modeling and Simulation
Physical Sciences > Physics and Astronomy (miscellaneous)
Physical Sciences > General Physics and Astronomy
Physical Sciences > Computer Science Applications
Physical Sciences > Computational Mathematics
Physical Sciences > Applied Mathematics
Uncontrolled Keywords:Physics and Astronomy (miscellaneous), Computer Science Applications
Language:English
Date:5 October 2015
Deposited On:03 Feb 2016 10:18
Last Modified:30 Jul 2020 21:14
Publisher:Elsevier
ISSN:0021-9991
OA Status:Closed
Publisher DOI:https://doi.org/10.1016/j.jcp.2015.06.013
Project Information:
  • : FunderFP7
  • : Grant ID226316
  • : Project TitleADDECCO - Adaptive Schemes for Deterministic and Stochastic Flow Problems

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