Article: Popov PP, Pope SB; (2013)Implicit and Explicit Schemes for Mass Consistency Preservation in Hybrid Particle/Finite-volume Algorithms for Turbulent Reactive Flows. Journal of Computational Physics, 257; 352-373
Abstract: 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 HMI. 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. (C) 2013 Elsevier Inc. All rights reserved.