6 papers · 1 filter
Adaptive Dissipation in the Smagorinsky Model for Turbulence in Boundary-Driven Flows
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
This paper enhances the classic Smagorinsky model by introducing an innovative, adaptive dissipation term that adjusts dynamically with distance from boundary regions. This modific…
A High-Order Analytical Extension of the Corrected Smagorinsky Model for Non-Equilibrium Turbulent Flow
Rômulo Damasclin Chaves dos Santos
This study presents an extension of the corrected Smagorinsky model, incorporating advanced techniques for error estimation and regularity analysis of far-from-equilibrium turbulen…
Advanced Theoretical Analysis of Stability and Convergence in Computational Fluid Dynamics for Computer Graphics
Rômulo Damasclin Chaves dos Santos
Mathematical modeling of fluid dynamics for computer graphics requires high levels of theoretical rigor to ensure visually plausible and computationally efficient simulations. This…
Vortex Formation and Dissipation in Chaotic Flows: A Hypercomplex Approach
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
This article presents a comprehensive analysis of the formation and dissipation of vortices within chaotic fluid flows, leveraging the framework of Sobolev and Besov spaces on Riem…
High-Order Dynamic Integration Method (HODIM) for Modeling Turbulent Fluid Dynamics
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
This research explores the development and application of the High-Order Dynamic Integration Method for solving integro-differential equations, with a specific focus on turbulent f…
Quantum-Inspired Stochastic Modeling and Regularity in Turbulent Fluid Dynamics
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales, Erickson F. M. S. Silva
This paper presents an innovative framework for analyzing the regularity of solutions to the stochastic Navier-Stokes equations by integrating Sobolev-Besov hybrid spaces with frac…