*A large number of high resolution numerical schemes exist for solving general CFD problems. Typically, those are either more suitable for either shock capturing or linear wave propagation. General purpose high-resolution schemes also exist but in many of them additional implementation and computational costs arise from the boundary conditions because of the stencil complexity and numerical robustness.
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*Robust general-purpose high-resolution numerical algorithms are particularly valuable in the modelling of turbulent flows, especially in the context of Large Eddy Simulations (LES). LES relies on the ability of the numerical method to resolve all flow scales above a certain threshold and those which are below this threshold are removed from the solution by using either a numerical realisation of one's favorite closure model of turbulent dissipation or implicitly, by a numerical dissipation. For the latter, one efficient strategy is to use numerical flux-correction methods in the framework of a Monotonically Integrated LES (MILES) approach. For the MILES component of this work, the Compact Accurately Boundary Adjusting High REsolution Technique (CABARET) is used. This is because the CABARET method is a cutting-edge numerical scheme for hyperbolic-type equations that has already been successfully applied for solving a range of convection/advection-dominated problems [1]-[5].
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Phil Ridley 2011-02-01