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Numerical Analysis of a Corrected Smagorinsky Model (2201.08914v2)
Published 21 Jan 2022 in math.NA, cs.NA, and math.AP
Abstract: The classical Smagorinsky model's solution is an approximation to a (resolved) mean velocity. Since it is an eddy viscosity model, it cannot represent a flow of energy from unresolved fluctuations to the (resolved) mean velocity. This model has recently been modified to incorporate this flow and still be well-posed. Herein we first develop some basic properties of the modified model. Next, we perform a complete numerical analysis of two algorithms for its approximation. They are tested and proven to be effective.