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• Favre averaged Navier-Stokes equations
  ...) for Favre averaged turbulent flows contains an extra term related to the turbulent energy. ... numbers typically present in real cases these equations have very chaotic turbulent solutions, and it is necessary to model the influence of the smallest scale
  15 KB (2,374 words) - 20:33, 24 November 2005
• Navier-Stokes equations
  ...s | Favre averaged turbulent flows]] contains an extra term related to the turbulent energy. Let heat diffusion be governed by Fourier's law:
  29 KB (4,606 words) - 18:17, 28 August 2012
• Reynolds stress model (RSM)
  ...s transport equation. They are able to account for complex interactions in turbulent flow fields, such as the directional effects of the Reynolds stresses. ...- \omega</math> models have significant shortcomings in complex, real-life turbulent flows that are often encountered in engineering applications. In flows with
  8 KB (1,203 words) - 01:47, 18 April 2017
• Fluent FAQ
  In the coupled solvers, the Species Diffusion Term is always included in the energy equation. ...n trying to get a solution with the segregated solver, DO NOT increase the turbulent viscosity ratio limit (unless you have a great reason to based on past expe
  39 KB (6,386 words) - 16:48, 26 April 2013
• Best practice guidelines for turbomachinery CFD
  ...e the incoming turbulence level, but very seldom also include the incoming turbulent length-scale. The best way of guessing a realistic incoming length-scale is ... eddy viscosity assumption]] and this often leads to an over-production of turbulent energy in regions with strong acceleration or deceleration, like in the lea
  41 KB (6,252 words) - 08:46, 4 March 2023
• Two equation turbulence models
  ...tion model to account for history effects like convection and diffusion of turbulent energy. ...equation model it is. Common choices are the [[Turbulence dissipation rate|turbulent dissipation]], <math>\epsilon</math>, or the [[specific turbulence dissipat
  11 KB (1,667 words) - 20:52, 25 October 2016
• Validation and test cases
  *[[2-D laminar/turbulent driven square cavity flow]] *[[Turbulent flow over backward facing step]]
  4 KB (629 words) - 21:50, 3 August 2017
• RNG k-epsilon model
  ..., whereas in reality all scales of motion will contribute to the turbulent diffusion. The RNG approach, which is a mathematical technique that can be used to de With the turbulent viscosity being calculated in the same manner as with the standard k-epsilo
  3 KB (480 words) - 02:44, 5 June 2010
• Approximation Schemes for convective term
  ...der accurate in terms of truncation error and may produce severe numerical diffusion. The scheme is therefore highly diffusive when the flow direction is skewed ...oldsymbol{D_{f}}</math> are respectively, the cell-face area and physical diffusion coefficient. When <math>\boldsymbol{Pe\triangleright 2}</math>
  30 KB (4,389 words) - 06:47, 16 September 2005
• Approximation Schemes
  ...der accurate in terms of truncation error and may produce severe numerical diffusion. The scheme is therefore highly diffusive when the flow direction is skewed ...oldsymbol{D_{f}}</math> are respectively, the cell-face area and physical diffusion coefficient. When <math>\boldsymbol{Pe\triangleright 2}</math>
  16 KB (2,286 words) - 18:01, 14 September 2005
• Other Schemes (unclassified) - structured grids
  ...n of a third-order accurate monotone convection scheme with application to turbulent flows in general domains. International Journal for numerical methods in fl A robust upwind discretisation method for advection, diffusion and source terms
  16 KB (2,435 words) - 21:09, 10 December 2010
• Combustion
  <math>u'</math> Turbulent integral RMS velocity ...hanks to Fick's law that is a (usually good) approximation to the rigorous diffusion velocity calculation. Regarding the temperature transport equation, it is d
  156 KB (25,897 words) - 22:14, 17 March 2011
• Approximation Schemes for convective term - structured grids - Common
  ...der accurate in terms of truncation error and may produce severe numerical diffusion. The scheme is therefore highly diffusive when the flow direction is skewed ...oldsymbol{D_{f}}</math> are respectively, the cell-face area and physical diffusion coefficient. When <math>\boldsymbol{Pe\triangleright 2}</math>
  28 KB (4,096 words) - 13:11, 24 October 2016
• Schemes by Leonard - structured grids
  In C. Taylor and P. Durbetaki, editors, Numerical Methods in Laminar and Turbulent Flow, volume 9, pages 1–12. Pineridge ...es with upwinding for numerical modelling of the incompressible convective diffusion equation.
  4 KB (518 words) - 20:23, 1 July 2008
• Approximation Schemes for convective term - structured grids - What we need: Please help
  ...t=In C. Taylor and P. Durbetaki, editors, Numerical Methods in Laminar and Turbulent Flow, volume 9, pages 1–12. Pineridge Press, 1995.}} ...n C. Taylor and K. Morgan, editors, Computational Methods in Transient and Turbulent Flow, pages 1–35. Pineridge Press, Swansea, 1981.}}
  5 KB (615 words) - 17:27, 7 November 2011
• Sand box Approximation Schemes
  ...vection, diffusion and source terms |title=Numerical Methods for Advection-Diffusion Problems |editor1-first=C.B. |editor1-last=Vreugdenhil |editor2-first=B. |e ...m monotonic interpolation for scalar transport with application to complex turbulent flows |journal=Int. J. Num. Meth. Fluids |volume=19 |pages=527–548 |doi=1
  26 KB (3,687 words) - 20:19, 7 November 2011
• Algebraic turbulence models
  ...for history effects on the turbulence, such as convection and diffusion of turbulent energy. These models are often too simple for use in general situations, bu
  1 KB (165 words) - 20:39, 1 April 2007
• CHAM FAQ
  ...hich is applicable to steady or unsteady, one- , two- or three-dimensional turbulent or laminar, multi-phase, compressible or incompressible flows using Cartesi ... with the aid of discretisation assumptions for the transient, convection, diffusion and source terms. For this purpose, the solution domain is subdivided into
  37 KB (5,717 words) - 12:46, 9 December 2019
• Scalar dissipation
  where <math> D </math> is the diffusion coefficient of the scalar. In turbulent flows, the scalar dissipation is seen as a scalar energy dissipation} and i
  2 KB (246 words) - 16:41, 12 April 2007
• Eddy viscosity
  ...n) is modeled with a molecular viscosity. The hyptheses that the effect of turbulent eddies on the flow can be modeled in this was is often refered to as the [[ The eddy viscosity is also commonly called the turbulent viscosity and it is normally written as <math>\mu_t</math>.
  564 B (93 words) - 18:22, 6 May 2006