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Search: Posts Made By: FMDenaro
Forum: Main CFD Forum April 27, 2016, 06:56
Replies: 24
Views: 2,217
Posted By FMDenaro
P.S.: sorry to say that from the reading of...

P.S.: sorry to say that from the reading of Appendix A I still have trouble understanding what is done... The procedure starts from the Euler equation (2.1a) that is a balance of accelerations...
Forum: Main CFD Forum April 27, 2016, 03:34
Replies: 24
Views: 2,217
Posted By FMDenaro
Just some ideas according to the Michael's...

Just some ideas according to the Michael's comments

1) Owing to the linearized model, the BC.s can be set at z=0 providing a perturbation velocity along the plane. That is quite common for...
Forum: Main CFD Forum March 31, 2016, 13:32
Replies: 24
Views: 2,217
Posted By FMDenaro
no, finite element is just a different way to...

no, finite element is just a different way to discretize the PDE, does not change the original nature of your PDE... what is more, the FE require to produce a suitable functional form of your PDE...
Forum: Main CFD Forum March 31, 2016, 13:26
Replies: 24
Views: 2,217
Posted By FMDenaro
no, this is not the issue...in case of first...

no, this is not the issue...in case of first order hyperbolic equations, forward/backward stencils are automaticaly determined by the sign of the eigenvalues of the PDE, they are not determined by...
Forum: Main CFD Forum March 31, 2016, 13:07
Replies: 24
Views: 2,217
Posted By FMDenaro
if you work with hyperbolic equations, the...

if you work with hyperbolic equations, the solution has a domain of dependence defined by the characteristic curves, the central discretization for a first order PDE is clearly a bad choice as it...
Forum: Main CFD Forum March 31, 2016, 12:55
Replies: 24
Views: 2,217
Posted By FMDenaro
Yes, I see now, it appears nothing else that like...

Yes, I see now, it appears nothing else that like rigid moving wave along the z direction ... it is like solving the equation dw/dt + c* dw/dz=0 at several positions along x with sinusoidal initial...
Forum: Main CFD Forum March 31, 2016, 03:25
Replies: 24
Views: 2,217
Posted By FMDenaro
However, I searched in the literature but I did...

However, I searched in the literature but I did not find any PDE resembling that in your problem...:confused:
Forum: Main CFD Forum March 31, 2016, 03:13
Replies: 24
Views: 2,217
Posted By FMDenaro
1) from the plot I cannot see the shift of the...

1) from the plot I cannot see the shift of the wave from the position at t=0, could you superimpose the initial condition?

2) the plot is just for a value of w in one point, could you plot the...
Forum: Main CFD Forum March 30, 2016, 17:27
Replies: 24
Views: 2,217
Posted By FMDenaro
Accepting "per fides" that your problem is...

Accepting "per fides" that your problem is mathematically well posed, the fact that by decreasing the steps dx and dz the solution becomes wrong is possible if:

1) the dt is too large and produces...
Forum: Main CFD Forum March 30, 2016, 16:10
Replies: 24
Views: 2,217
Posted By FMDenaro
we already discussed your problem in other posts...

we already discussed your problem in other posts and I still do not understand how the number of BC.s you used can close your fourth-order PDE...
Then, what about a stability analysis of your...
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