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Title: Stochastic Discrete Equation Method (sDEM) for two-phase flows

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.
Authors:
 [1] ;  [2] ;  [3] ;  [2]
  1. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich (Switzerland)
  2. INRIA Bordeaux-Sud-Ouest, Equipe Cardamom, 200 Avenue de la Vieille Tour, 33405 Talence (France)
  3. Flow Physics and Computational Engineering, Stanford University, 488 Escondido Mall, Building 500, Stanford, CA 94305-3035 (United States)
Publication Date:
OSTI Identifier:
22465670
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 299; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; COMPRESSIBLE FLOW; CONDENSATION PARTICLE COUNTERS; CONVERGENCE; EFFICIENCY; STOCHASTIC PROCESSES; THERMODYNAMIC PROPERTIES; TWO-PHASE FLOW