Abstract

The interrelation between numerical methods and Large Eddy Simulations of turbulent flow is examined in this paper using two very different computational procedures. Numerical simulations of the turbulent flow in a plane jet were conducted using the Lagrangian Block Method (LBM) and a conventional Central Difference Scheme (CDS). Compared with the LBM, the requirement for sub-grid viscosity in the simulation using CDS was significantly lower because the numerical diffusion in the scheme acted as the equivalent of sub-grid viscosity reducing the requirement for sub-grid viscosity. The results of the LES have suggested that the LBM is significantly less diffusive than the conventional CDS. The LBM is non-negative, mass conserving and unconditionally stable. The method is very efficient since accurate results can be obtained with the method using a Courant number close to the critical value of unity.

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