Statistics in a Backscatter Eddy Viscosity Turbulence Model

2024/12/27 by Ali Pakzad, Pakzad, Ali, Farjana Siddiqua +1 · 1 citation
Earth and Planetary Sciences · Engineering · Environmental Science · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Numerical Analysis (math.NA) #Wind and Air Flow Studies

paper · pdf · doi:10.48550/arxiv.2412.19476

openalex publication_date 2024/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper addresses two significant drawbacks of an eddy viscosity turbulence model: the issue of excessive dissipation relative to energy input and the lack of a universal parameter specification. Considering the Baldwin-Lomax model with backscatter effects, we first prove the existence and uniqueness of global weak solutions under mild conditions. Our next result shows that this model maintains energy dissipation rates consistent with energy input, thereby avoiding over-dissipation and aligning with K41 phenomenology. Additionally, we propose a range for the model's parameters.

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