Low dissipative methods for turbulent reacting flows

Low dissipative methods for turbulent reacting flows

Boersma, B.J.
Van der Hoeven, S.

2006-09-06

Modeling of scalar transport is an essential point in the simulation of non-premixed turbulent combustion. The fuel and oxidizer streams are, in general, modeled with an equation for the mixture fraction $Z$. This mixture fraction is a bounded function, i.e. it can never become large than one or smaller than zero. Symmetric central differencing schemes will, in general, produce values larger than one or smaller than zero if the cell Peclet (or cell Reynolds) number is large. Asymmetric (upwind) schemes can be tuned in such a way that the over/under shoot is absent. However, these upwind schemes will always generate a certain amount of numerical diffusion which will interfere with the diffusion given by a turbulence model or sub-grid model. From a modeling point of view numerical diffusion should be minimized. In this paper we propose an accurate numerical method with very low numerical dissipation which can be used for scalar transport and for the compressible Navier-Stokes equations. A drawback of the method is that it is not strictly monotonic.

high order methods
compressible flows
Large Eddy Simulation (LES)

http://resolver.tudelft.nl/uuid:65a86ddf-bd18-4d36-8568-880b9e285a5a

Conference proceedings

conference paper

(c) 2006 Boersma, B.J.; Van der Hoeven, S.