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

• Published in: Journal of computational physics Vol. 299; pp. 281 - 306
• Main Authors: Abgrall, R., Congedo, P.M., Geraci, G., Rodio, M.G.
• Format: Journal Article
• Language: English
• Published: United States Elsevier Inc 15-10-2015
• Subjects: Adaptive Semi-Intrusive scheme (aSI); Approximation; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPRESSIBLE FLOW; Computational efficiency; CONDENSATION PARTICLE COUNTERS; CONVERGENCE; Discrete Equation Method (DEM); Discretization; EFFICIENCY; Mathematical analysis; MATHEMATICAL METHODS AND COMPUTING; Mathematical models; Multiresolution (MR); STOCHASTIC PROCESSES; Stochasticity; THERMODYNAMIC PROPERTIES; Two-phase compressible flows; TWO-PHASE FLOW; Uncertainty; Uncertainty Quantification (UQ); Adaptive Semi-Intrusive scheme (aSI); Two-phase compressible flows; Multiresolution (MR); Uncertainty Quantification (UQ); Discrete Equation Method (DEM)
• ISSN: 0021-9991; 1090-2716
• DOI: 10.1016/j.jcp.2015.06.013

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.