GRAVITY STRATIFIED FLOWS BY LAGRANGIAN BLOCK METHOD

Abstract eng:
In Large Eddy Simulations (LES) of turbulent flows, the required viscosity for energy dissipation at the sub-grid scales is quite small. The sub-grid viscosity is comparable in order of magnitude to the numerical viscosity produced by most of the numerical computa- tional schemes. The need for numerical accuracy is even more important when the buoyancy force is involved in the numerical simulation. Buoyancy is carried by the velocity of the turbulence motion that in turn is driven by the force of the buoyancy. Accurate simulation of the turbulent stratified flows is entirely dependent on the ability of numerical scheme to simulate the chaotic advection of the buoyancy. Because the process is advection dominated, the numerical method must be relatively free of the problems of the numerical diffusion and the unphysical oscillations that many conventional computational schemes have been affected. In this paper, the turbulent plume is simulated by a highly accurate advection scheme known as the Lagrangian Block Method (LBM).

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