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 |
The k e model | 51 |
Mathematical analysis and approximation | 63 |
Copyright | |
9 other sections not shown
Common terms and phrases
algorithm analysis applied approximation assume average boundary conditions boundary layer bounded called chapter compressible computed Consider constant convection defined definition denotes depend derivation diffusion dimensions direct dissipation domain eddies effect example exists field Figure filter finite element flow fluid formula function give given hand homogeneous hypothesis incompressible initial conditions integrals invariance isotropic kinetic energy linear linear system matrix mean mean flow mesh method multiplying Navier-Stokes equations obtained periodic positive possible presented pressure problem Proof Recall regions Remark Reynolds number Reynolds stress rotation satisfies scale scheme shown shows side similar simple simulation solution solve space step symmetric matrix tensor triangles turbulence model values variables velocity viscosity wall wall law zero