Numerical Analysis of a Corrected Smagorinsky Model

2022/01/21 by Farjana Siddiqua, Siddiqua, Farjana, Xihui Xie +1 · 2 citations
Earth and Planetary Sciences · Economics, Econometrics and Finance · Engineering · #Analysis of PDEs (math.AP) #Complex Systems and Time Series Analysis #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2201.08914

openalex publication_date 2022/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

Cited by

• Longer time accuracy for the Ladyzhenskya model with the EMAC formulation
• Efficient and Optimally Accurate Numerical Algorithms for Stochastic Turbulent Flow Problems

Related

• A Sophisticated Analytical Methodology for Refining the Smagorinsky Model in Turbulent Flows
• Theoretical Refinements of the Smagorinsky Model for Turbulence Simulations
• Variable Time Step Method of DAHLQUIST, LINIGER and NEVANLINNA (DLN) for a Corrected Smagorinsky Model
• A local dynamic gradient Smagorinsky model for large-eddy simulation
• A High-Order Analytical Extension of the Corrected Smagorinsky Model for Non-Equilibrium Turbulent Flow