3 papers
math.AP2024
A Sophisticated Analytical Methodology for Refining the Smagorinsky Model in Turbulent Flows
Rômulo Damasclin Chaves dos Santos
In this work, we present three important theorems related to the corrected Smagorinsky model for turbulence in time-dependent domains. The first theorem establishes an improved reg…
physics.flu-dyn2024
Theoretical Refinements of the Smagorinsky Model for Turbulence Simulations
Rômulo Damasclin Chaves dos Santos
This paper presents a rigorous theoretical extension of the Smagorinsky model for turbulence simulations. The author builds on its fundamental framework, addressing known limitatio…
physics.flu-dyn2024
Mathematical Analysis of Axisymmetrization and Enhanced Inviscid Damping in 2D Linearized Euler Flow
Rômulo Damasclin Chaves dos Santos
This paper extends the mathematical theory of axisymmetrization and vorticity depletion within the two-dimensional (2D) Euler equations, with an emphasis on the dynamics of radiall…