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Search: Posts Made By: FMDenaro
Forum: Main CFD Forum July 4, 2019, 03:26
Replies: 16
Views: 1,022
Posted By FMDenaro
When you compare the exact and the numerical...

When you compare the exact and the numerical solution you should be aware that:
- this is the discretization error but the order of accuracy of a scheme is defined by means of the local truncation...
Forum: Main CFD Forum July 2, 2019, 17:30
Replies: 16
Views: 1,022
Posted By FMDenaro
I agree that the real analysis requires to take...

I agree that the real analysis requires to take into account the full time-space discretization. In other words, the guideline for the analysis is the modified PDE induced by the full discretization....
Forum: Main CFD Forum July 2, 2019, 09:50
Replies: 16
Views: 1,022
Posted By FMDenaro
A discussion about the original von Neumann...

A discussion about the original von Neumann stability analysis and the different approach that the authors adopt in those studies was discussed also here
...
Forum: Main CFD Forum July 1, 2019, 07:09
Replies: 16
Views: 1,022
Posted By FMDenaro
Have a look to the textbook of Hirsch, that is...

Have a look to the textbook of Hirsch, that is explained in simple way
Forum: Main CFD Forum July 1, 2019, 03:15
Replies: 16
Views: 1,022
Posted By FMDenaro
Julio you don't need of a real spectral method...

Julio
you don't need of a real spectral method or an FFT routine. Just consider what is the process in the von Neumann stability, that is write the discrete scheme, insert the generic Fourier...
Forum: Main CFD Forum June 30, 2019, 18:58
Replies: 16
Views: 1,022
Posted By FMDenaro
The amplification factor Gnum is obtained from...

The amplification factor Gnum is obtained from the numerical scheme when you insert the generic Fourier component Fk(t)*exp(i*k*x) in each term. This is the numerical solution you are supposing. When...
Forum: Main CFD Forum June 30, 2019, 11:30
Replies: 16
Views: 1,022
Posted By FMDenaro
Hello Julio I read that paper some time...

Hello Julio


I read that paper some time ago, Part 2 is based on the transformation of the original PDE in the Fourier space. Then the resulting ODE is integrate and provides the Gphys...
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