Introduction to Turbulence Modeling
- Occurrence of Turbulence
- Eddy Viscosity
- Turbulence Scales
- Strain Rate and Rotation
- Vorticity
- Pre-requisite Equations
- Time Averaged Navier-Stokes Equations
- Isotropic vs Anisotropic Turbulence
- Reynolds Stress Tensor
Wall Bounded Turbulence
Numerical Simulation of Fluid Flow
- Error Term for Backward or Upwind Scheme
- Numerical Diffusion and Dispersion
- Courant-Friedrichs-Lewy or CFL Number
Overview of Computational Approach to fluid flow
- Direct Numerical Simulation (DNS)
- Large Eddy Simulation (LES)
- Reynolds Averaged Navier Stokes (RANS)
Reynolds Averaged Navier-Stokes Approach
- Reynolds Averaged Navier Stokes (RANS)
- The Closure Problem of RANS
- Role of the Stress Tensor in RANS
- Reynolds Stress Models (RSM)
- Eddy Viscosity Models (ESM)
- Boussinesq Assumption
- Prandtl’s Mixing Length Theory
Large Eddy Simulation
- Large Eddy Simulation
- Implicit LES (no-SGS Model)
- Explicit LES (Sub-grid Scale Model)
- Smagorinsky SGS