Analysis of the K-Epsilon Turbulence ModelAimed at applied mathematicians interested in the numerical simulation of turbulent flows. Centered around the k-&epsis; model, it also deals with other models such as one equation models, subgrid scale models and Reynolds Stress models. Presents the k-&epsis; method for turbulence in a language familiar to applied mathematicians, but has none of the technicalities of turbulence theory. |
Contents
Homogeneous Incompressible Turbulence | 17 |
Reynolds Hypothesis | 29 |
The k ε model | 51 |
Copyright | |
10 other sections not shown
Common terms and phrases
algebraic algorithm assume average boundary conditions boundary layer c₁ c₂ chapter coefficient compressible computational domain constant convection defined denotes derivation diffusion dimensions direct simulation dissipation eddies ergodic Euler equations Ətu ɛ model Figure filter finite element finite element method flat plate fluid formula Fourier frame invariance function Galilean invariant gradients heat flux homogeneous turbulence incompressible flows initial conditions integrals isotropic k-e model kinetic energy km+1 km² low Reynolds number Mach number matrix mean flow mesh multiple scales expansion Navier-Stokes equations obtained positive pressure problem QTCQ quasi-periodic functions regions Reynolds equations Reynolds stress models rotation Smagorinsky solution solver space step stress tensor SUPG T₁ theorem triangles turbulence model turbulent flow vector viscosity Vu+ VuT Vu¹ wall law zero δι Сн