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 Ehab January 23, 1999 19:36

False diffusion

Hi I find a problem about the concept of False diffusion in CFD analysis. If any one know about this concept I will be appreciated. Thanks in Advance

 Luca Liberti January 23, 1999 21:05

Re: False diffusion

I am not too sure but I think you mean the numerical diffusion. If you try to solve a simple transport equation with numerical method such finite difference you will find that under some conditions related to the adimensional Courant number the transport term behaves like the diffusive term. You can see this effect by solving the simple monodimensional eqation of wave propagation with constant velocity c: df/dt=-c*df/dx if you use a simple forward differencing in time and backward in space (upwind) so that f(n+1)i=f(n)i-c*((f(n)i-f(n)i-1)/Dx)*Dt

you will find with that a simple triangular wave is translated but at the same time smoothed by a numerical diffusion effect that occours when the courant number Cr=dt*c/dx is less than 1 for grater values the scheme is unsteady for Cr=1 there is no diffusion. Bye

 Jeff Franklin January 25, 1999 10:34

Re: False diffusion

I believe the area you are interested in is mostly call numerical diffusion. Many peopled have looked at these numerical problems and proposed solutions for them. The following article is a one of the many references in this area:

"Why you should not use 'Hybrid' 'Power-Law' or Related Exponential Schemes for Convective Modelling-There are Much Better Alternatives" Internationa Journal for Numerical Methods in fluids, Vol 20, 421-442 1995

 drishty August 7, 2009 12:43

false diffusion

False diffusion oftens arises when you are using an upwind differencing method to discretise equations. Though upwind differencing provides results closer to analytical ones, when the flow is not aligned with grid lines, this differencing method causes the transported properties to be smeared. the resulting error has a diffusion like appearance and is referred to as false diffusion.

If you need any further inormation pls ask :D

Drishtysingh

 mahdi_kh8 August 7, 2013 22:23

False diffusion is defined as an error having a diffusion-like appearance, obtained when the upwind scheme is used in multidimensional cases to solve for the distribution of transported properties flowing non-orthogonally to one or more of the system's major axes. The error is absent when the flow is orthogonal or parallel to each major axis.
:)

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