On Tue, Feb 27, 2018 at 8:55 AM, 吴家桦Gauvain <causegauv...@gmail.com> wrote:

> Thanks for replying.
>
> I did omit the inertia terms in my PDE. Regarding the greedy convergence
> of 7 parameter transient case, the maximum error bound decreases as usual,
> from about 40000 to 0.00197 but the result is abnormal like what is
> described in my first mail. In fact, 3 parameter (thermal conditions)
> transient case works well and so does 7 parameter steady case. The problem
> arises when I attempt to combine them together by replacing the assembly
> function of the stiffness matrix in 3 parameter transient case with that of
> 7 parameter steady case.
>

Sounds like you need to do some debugging... e.g. set parameters to have
min=max and see if it's still abnormal, or view the "truth solve" solution
or other things like that to try to identify where the problem is.

David




> 2018-02-27 21:21 GMT+08:00 David Knezevic <david.kneze...@akselos.com>:
>
>> On Tue, Feb 27, 2018 at 4:03 AM, 吴家桦Gauvain <causegauv...@gmail.com>
>> wrote:
>>
>>> Hi all,
>>>
>>> I am trying to make a transient thermoelastic RB model. Both Internal
>>> heat
>>> flux and external heat exchange described by Newton's law of
>>> cooling(Robin
>>> boundary condition) are considered. It works well when the three thermal
>>> conditions (heat flux, heat transfer coefficient and ambient temperature)
>>> are chosen as parameters. However, abnormal results are observed when the
>>> material properties (Young's modulus, Poisson's ratio, thermal expansion
>>> coefficient and heat conductivity) are added as parameters: Three
>>> displacement components remain 0 and the temperature increases
>>> drastically
>>> as the time goes by. What's more, I notice that the difference between
>>> the
>>> first and the second POD eigenvalues is extremely large:
>>>
>>> POD Eigenvalues:
>>> eigenvalue 0 = 4.4536e+08
>>> eigenvalue 1 = 2.45303e-07
>>> ...
>>> last eigenvalue = -1.90536e-07
>>>
>>> The matrix assembly should not pose problem because it runs well in
>>> steady
>>> case and I simply copy the assembly functions without any modification.
>>> Thus I am really confused and I cannot figure out where the problem is.
>>> Could you give me some suggestions? Thanks a lot.
>>>
>>
>> Good to hear that it works well in the steady case.
>>
>> Regarding the transient case, I have a few comments:
>>
>> - The default implementation for transient RB that is used in the
>> examples is intended for parabolic PDEs, like the heat equation. I guess
>> your PDE is parabolic since you omit the hyperbolic parts (i.e. the inertia
>> terms) from the elasticity part of the system?
>>
>> - 7 parameters is quite a lot of parameters, so you may just be having
>> trouble with greedy convergence?
>>
>> My main suggestion would be to try to get a simple transient problem
>> working first, then add more complexity to it until you reach the problem
>> that you're interested in, e.g. you could start with the heat equation and
>> then add elasticity terms.
>>
>> Regards,
>> David
>>
>>
>>
>
>
> --
>
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