A consistent hybrid PDF method: implementation details and application to the simulation of a bluff-body stabilised flame. (6th April 2006)

• Record Type: Journal Article
• Authors: Naud, B.; Jimenez, C.; Roekaerts, D.
• Is Part Of: Progress in computational fluid dynamics. Volume 6:Number 1-3(2006)
• Page Start: 146
• Page End: 157
• Publication Date: 2006-04-06
• Subjects: probability density function -- PDF methods -- joint velocity-composition PDF -- stochastic Lagrangian modelling -- second moment closure -- finite-volume method -- particle method -- bias error -- iteration averaging -- bluff-body stabilised flame -- CFD -- computational fluid dynamics -- turbulent flows; Fluid dynamics -- Data processing -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 620.10640285
• Languages: English
• ISSNs: 1468-4349

Abstract

PDF simulations of a bluff-body stabilised flame studied experimentally by Dally et al. have been performed using a hybrid Finite-Volume /particle method in combination with a local time-stepping algorithm. Using mixture fraction as only independent scalar and a flamelet chemistry model, satisfactory results for flow field and mean temperature are obtained. In the proposed hybrid method, the Finite-Volume submodel plays a leading role since it provides the mean velocity, mean velocity gradients, mean pressure gradient, mean dissipation and the gradients of Reynolds stresses used in the particle submodel, resulting in a low bias error. Details on the implementation are given, correction algorithms are presented and a new iteration averaging method is proposed. Despite an inconsistency in the treatment of triple correlation terms, the difference between the Reynolds stresses resolved in the Finite-Volume submodel and extracted from the ensemble of particles appears to be very small, demonstrating that the correction algorithms ensure consistency.