Implicit and explicit schemes for mass consistency preservation in hybrid particle/finite-volume algorithms for turbulent reactive flows

This work addresses the issue of particle mass consistency in Large Eddy Simulation/Probability Density Function (LES/PDF) methods for turbulent reactive flows. Numerical schemes for the implicit and explicit enforcement of particle mass consistency (PMC) are introduced, and their performance is exa...

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Bibliographic Details
Published in:Journal of computational physics 2014-01, Vol.257 (Part A), p.352-373
Main Authors: Popov, Pavel P., Pope, Stephen B.
Format: Article
Language:English
Subjects:
ALGORITHMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMPARATIVE EVALUATIONS
Computational fluid dynamics
Consistency
Consistency conditions
Corrective algorithms
DIFFERENTIAL EQUATIONS
INTERPOLATION
LAGRANGIAN FUNCTION
Lagrangian Monte Carlo
Large eddy simulation/probability density function
LARGE-EDDY SIMULATION
MASS
MATHEMATICAL METHODS AND COMPUTING
MONTE CARLO METHOD
Particle mass
Particle tracking
PARTICLES
PROBABILITY DENSITY FUNCTIONS
SCALAR FIELDS
STOCHASTIC PROCESSES
Turbulence
Turbulent reactive flows
VELOCITY
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Summary:This work addresses the issue of particle mass consistency in Large Eddy Simulation/Probability Density Function (LES/PDF) methods for turbulent reactive flows. Numerical schemes for the implicit and explicit enforcement of particle mass consistency (PMC) are introduced, and their performance is examined in a representative LES/PDF application, namely the Sandia–Sydney Bluff-Body flame HM1. A new combination of interpolation schemes for velocity and scalar fields is found to better satisfy PMC than multilinear and fourth-order Lagrangian interpolation. A second-order accurate time-stepping scheme for stochastic differential equations (SDE) is found to improve PMC relative to Euler time stepping, which is the first time that a second-order scheme is found to be beneficial, when compared to a first-order scheme, in an LES/PDF application. An explicit corrective velocity scheme for PMC enforcement is introduced, and its parameters optimized to enforce a specified PMC criterion with minimal corrective velocity magnitudes.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2013.09.005