Abstract
The paper presents the theoretical basis for the extension of the V π LES method, originally developed in recent works of the authors for incompressible flows, to flows with variable density and transport properties but without chemical reactions. The method is based on the combination of grid based and grid free computational particle techniques. Large scale motions are modelled on the grid whereas the fine scale ones are modelled by particles. The particles represent the fine scale vorticity, and scalar quantities like e.g., temperature, mass fractions of species, density and mixture fraction. Coupled system of equations is derived for large and fine scales transport.
Highlights
In our previous works [1,2,3] we propose a novel numerical technique, referred to as the VπLES approach, which utilizes the combination of grid based and grid free computational methods
Dynamics of large and fine scales is calculated from two coupled transport equations one of which is solved on the grid whereas the second one utilizes the Lagrangian grid free Vortex Particle Method (VPM)
We classified the method as the Large Eddy Simulation (LES) with a direct resolution of the subgrid (SG) motion modeled by uv part
Summary
In our previous works [1,2,3] we propose a novel numerical technique, referred to as the VπLES approach, which utilizes the combination of grid based and grid free computational methods. The large scale motions are modeled on the grid whereas the fine scales are represented by vortex particles. Numerical simulations [2,3] showed that vortex particles play a role as triggers or intensifiers of the turbulence in the grid based solution. Their inner interaction does not contribute sufficiently to the flow evolution. The name of the method is the LES intensified by the vortex particles or VπLES
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