Is this project an undergraduate, graduate, or faculty project?
Undergraduate
Project Type
individual
Campus
Daytona Beach
Authors' Class Standing
Michael Derderian, Senior
Lead Presenter's Name
Michael Derderian
Lead Presenter's College
DB College of Engineering
Faculty Mentor Name
Dr. Leitao Chen
Abstract
The Entropic Lattice Boltzmann Method (EELBM) has demonstrated strong numerical stability and accuracy for two-dimensional simulations, particularly at higher resolutions where the entropic formulation introduces only minimal stabilizing turbulent viscosity and eventually converges to the Lattice Bhatnagar–Gross–Krook (LBGK) formulation. This built-in stabilization can be interpreted as an implicit large-eddy simulation (LES) model, allowing EELBM to capture complex turbulent behavior without requiring explicit subgrid-scale closures. While these advantages have been thoroughly validated in 2D, understanding how the entropic constraint regulates dissipation in three dimensions is essential for assessing EELBM’s suitability for practical, turbulence-dominated applications. This work focuses on the development and evaluation of a three-dimensional EELBM solver based on the D3Q27 lattice and assesses its performance on representative turbulent flow configurations. The study considers flows in which inherently three-dimensional structures and vortex dynamics play a central role, including the cubic lid-driven cavity and flow over bluff-body geometries. Simulations will be conducted across a range of Reynolds numbers, Mach numbers, and grid resolutions to evaluate numerical stability, accuracy, and the effectiveness of the entropic stabilization mechanism. A central component of this investigation is quantifying the stabilizing viscosity produced by the entropic condition and determining how this effective turbulent viscosity scales with resolution and local flow gradients. Understanding this behavior is critical for predicting the degree of under-resolution the model can accommodate and for informing prospective users about the method’s implicit turbulence-modeling characteristics. Successfully demonstrating stable and accurate performance in three dimensions would significantly expand the applicability of EELBM and establish it as a robust, entropy-driven alternative to traditional LES approaches for complex turbulent flows.
Did this research project receive funding support (Spark, SURF, Research Abroad, Student Internal Grants, Collaborative, Climbing, or Ignite Grants) from the Office of Undergraduate Research?
No
Included in
Aerodynamics and Fluid Mechanics Commons, Computational Engineering Commons, Fluid Dynamics Commons
Extending the Essentially Entropic Lattice Boltzmann Method to Three-Dimensional Turbulent Flows
The Entropic Lattice Boltzmann Method (EELBM) has demonstrated strong numerical stability and accuracy for two-dimensional simulations, particularly at higher resolutions where the entropic formulation introduces only minimal stabilizing turbulent viscosity and eventually converges to the Lattice Bhatnagar–Gross–Krook (LBGK) formulation. This built-in stabilization can be interpreted as an implicit large-eddy simulation (LES) model, allowing EELBM to capture complex turbulent behavior without requiring explicit subgrid-scale closures. While these advantages have been thoroughly validated in 2D, understanding how the entropic constraint regulates dissipation in three dimensions is essential for assessing EELBM’s suitability for practical, turbulence-dominated applications. This work focuses on the development and evaluation of a three-dimensional EELBM solver based on the D3Q27 lattice and assesses its performance on representative turbulent flow configurations. The study considers flows in which inherently three-dimensional structures and vortex dynamics play a central role, including the cubic lid-driven cavity and flow over bluff-body geometries. Simulations will be conducted across a range of Reynolds numbers, Mach numbers, and grid resolutions to evaluate numerical stability, accuracy, and the effectiveness of the entropic stabilization mechanism. A central component of this investigation is quantifying the stabilizing viscosity produced by the entropic condition and determining how this effective turbulent viscosity scales with resolution and local flow gradients. Understanding this behavior is critical for predicting the degree of under-resolution the model can accommodate and for informing prospective users about the method’s implicit turbulence-modeling characteristics. Successfully demonstrating stable and accurate performance in three dimensions would significantly expand the applicability of EELBM and establish it as a robust, entropy-driven alternative to traditional LES approaches for complex turbulent flows.