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<div class="moz-cite-prefix">Hi Alok,</div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix">First of all I think you should
increase the number of steps per Arnoldi iteration (p109) even
more, for example multiplying it by 4. The columns 2 and 3 (
re(RITZ) and im(RITZ)) show that the operator seen by ARPACK is
close to identity, all the Ritz values are close to 1.</div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix">I forgot to mention this earlier, but
it might also converge faster if you increase the Krylov space
size p111 to 120 (four times the number of eigenvalues that you
request).</div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix">Regarding the 0 frequency modes, I
often see them related to boundaries. I am not exactly sure where
they come from. It is difficult to say anything without seeing
what the eigenvectors look like.<br>
</div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix">Regards,</div>
<div class="moz-cite-prefix">Guillaume</div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix">On 30/10/2018 06:40, nek5000-users---
via Nek5000-users wrote:<br>
</div>
<blockquote type="cite"
cite="mid:mailman.13585.1540878088.86639.nek5000-users@lists.mcs.anl.gov">
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<div dir="ltr">
<div dir="ltr">Hi Guillaume,
<div><br>
</div>
<div>I tried with the help of your valuable suggestions. I am
getting dominant Eigenvalue with time period 8.34 which is
very much close to the literature. However, I require 30
Eigen values by setting P112=30 and P111=90. Below is the
eigenvalues I am getting after many restarts.</div>
<div><br>
</div>
<div>
<div> re(RITZ);
im(RITZ)<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>
ln|RITZ|;
arg(RITZ)</div>
<div> 1 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.991128702238537
0.150881402754817 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>1.272083634754888E-002
0.755360071443281 </div>
<div> 2 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.991128702238537
-0.150881402754817 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>1.272083634754888E-002
-0.755360071443281 </div>
<div> 3 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.991728721496092
1.806383192432841E-002<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.069909517841635E-002
9.106237555496137E-002</div>
<div> 4 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.991728721496092
-1.806383192432841E-002<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.069909517841635E-002
-9.106237555496137E-002</div>
<div> 5 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.989791831070271
3.446186469202143E-002<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.827437507304033E-002
0.174016133198715 </div>
<div> 6 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.989791831070271
-3.446186469202143E-002<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.827437507304033E-002
-0.174016133198715 </div>
<div> 7 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.987601103156919
5.049392478862426E-000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-5.585540570484418E-002
0.255416865677410 </div>
<div> 8 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.987601103156919
-5.049392478862426E-002<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-5.585540570484418E-002
-0.255416865677410 </div>
<div> 9 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.995627135254111
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-2.191226841613384E-002
0.000000000000000E+000</div>
<div> 10 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.995700191328997
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-2.154539716426180E-002
0.000000000000000E+000</div>
<div> 11 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.995229254767405
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-2.391080780851450E-002
0.000000000000000E+000</div>
<div> 12 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.995434205850176
0.000000000000000E+00<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-2.288124611941097E-002
0.000000000000000E+000</div>
<div> 13 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.994877066906734
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-2.568050152041379E-002
0.000000000000000E+000</div>
<div> 14 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.994526533813701
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-2.744250243633435E-002.
0.000000000000000E+000</div>
<div> 15 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.994024234181460
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-2.996846079257938E-002.
0.000000000000000E+000</div>
<div> 16 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.992886352948494
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-3.569534837742794E-002
0.000000000000000E+000</div>
<div> 17 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.993531725861019
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-3.244642035911912E-002
0.000000000000000E+000</div>
<div> 18 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.992269436061858
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-3.880299821483946E-002
0.000000000000000E+000</div>
<div> 19 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.991568951835935
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.233395244633451E-002
0.000000000000000E+000</div>
<div> 20 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.991491977086931
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.272211373739676E-002
0.000000000000000E+000</div>
<div> 21 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.991513431383682
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.261392292430112E-002
0.000000000000000E+000</div>
<div> 22 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.991180149347166
0.000000000000000E+00<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.429487878603097E-002
0.000000000000000E+000</div>
<div> 23 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.991284115416627
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.377045031887505E-002
0.000000000000000E+000</div>
<div> 24 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.990874009258556
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.583943845265666E-002
0.000000000000000E+000</div>
<div> 25 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.990632850108536
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.705648774052894E-002
0.000000000000000E+000</div>
<div> 26 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.990852910254318
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.594590622089855E-002.
0.000000000000000E+000</div>
<div> 27 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.990206173286647
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.921050845320660E-002
0.000000000000000E+000</div>
<div> 28 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.990051445648789
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-4.999185950921724E-002
0.000000000000000E+000</div>
<div> 29 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.989332783273003
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-5.362259677015029E-002
0.000000000000000E+000</div>
<div> 30 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.989848247701740
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-5.101816376314156E-002
0.000000000000000E+000</div>
<div> 31 <span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>0.989278105749528
0.000000000000000E+000<span class="m_-1585782076635606836gmail-m_-3742669899213310607gmail-Apple-tab-span" style="white-space:pre-wrap"> </span>-5.389893975295782E-002
0.000000000000000E+000</div>
</div>
<div><br>
</div>
<div> I am unable to understand the reason behind getting so
many Eigenvalues with zero imaginary part/rotation. Please
help.</div>
<div><br>
</div>
<div>Regards,</div>
</div>
<br>
<div class="gmail_quote">
<div dir="ltr">On Wed, Oct 3, 2018 at 2:54 PM <<a
href="mailto:nek5000-users@lists.mcs.anl.gov"
target="_blank" moz-do-not-send="true">nek5000-users@lists.mcs.anl.gov</a>>
wrote:<br>
</div>
<blockquote class="gmail_quote" style="margin:0 0 0
.8ex;border-left:1px #ccc solid;padding-left:1ex">
<div text="#000000" bgcolor="#FFFFFF">
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix">Hi,</div>
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix"><br>
</div>
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix">What
is your time step? I calculated the spectrum of the
cylinder flow a while ago at Re=44 and I got an angular
frequency of 0.7278, which corresponds to a period of
8.63.<br>
</div>
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix">It
is possible that 40 time steps per Arnoldi iteration is
too small; a good start is to integrate for 1/10th of
the period, so dt*p109 = 0.8 approximately. I used 120
time steps at dt=4.2e-3 but it may be faster with more
steps.<br>
</div>
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix">It
depends on which frequencies you want to resolve; if you
integrate for a short time your operator is close to
identity and all eigenvalues are close to 1, but if you
integrate for too long then the frequencies of the
eigenvalues you are interested in will be aliased.</div>
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix"><br>
</div>
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix">I
think you could try decreasing p021 and p022 to maybe
1e-10 or 1e-12 and see if helps, too.<br>
</div>
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix"><br>
</div>
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix">Best,</div>
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix">Guillaume<br>
</div>
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix"><br>
</div>
<div
class="m_-1585782076635606836m_9031516644251136374moz-cite-prefix">On
03/10/2018 07:24, <a
class="m_-1585782076635606836m_9031516644251136374moz-txt-link-abbreviated"
href="mailto:nek5000-users@lists.mcs.anl.gov"
target="_blank" moz-do-not-send="true">nek5000-users@lists.mcs.anl.gov</a>
wrote:<br>
</div>
<blockquote type="cite">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr"><span
class="m_-1585782076635606836m_9031516644251136374gmail-im"
style="color:rgb(80,0,80)">Hi Guillaume,
<div><br>
</div>
<div>Thanks for your reply. My reply to
your queries is as below:-</div>
<div><br>
</div>
</span>
<div>1) I am getting unstable pair of
Eigen values with growth rate around
0.02.</div>
<span
class="m_-1585782076635606836m_9031516644251136374gmail-im"
style="color:rgb(80,0,80)">
<div>2) Solver tolerance that I used are
;</div>
<div>
<div> 7.00000 p020
NORDER</div>
<div> 0.100000E-09 p021 DIVERGENCE</div>
<div> 0.100000E-09. p022 HELMHOLTZ</div>
<div> 0.00000 p023
NPSCAL</div>
<div> 0.100000E-09 p024 TOLREL</div>
<div> 0.100000E-04 p025 TOLABS</div>
</div>
</span>
<div>1.00000E-05. p113 : ARNOLDI:
arpack tolerance</div>
<div><br>
</div>
<div><br>
</div>
<div>3) Boundary conditions are :</div>
<div><br>
</div>
<div>I am using sponge strength at inlet
and outlet with following details in
.rea file</div>
<div>
<div> 1.00000 p119 : SPONGE
STRENGTH</div>
<div> 25.0000 p120 : SPONGE TOTAL
WIDTH</div>
<div> 3.00000 p121 : SPONGE DROP
WIDTH (INFLOW)</div>
<div> 5.00000 p122 : SPONGE RISE
WIDTH (OUTFLOW) </div>
</div>
<div>the sponge function and its cal is
detailed in userf subroutine of .usr
file</div>
<div><br>
</div>
<div>Also following is defined in .usr
file</div>
<div>
<div>c-----------------------------------------------------------------------</div>
<div> subroutine userbc
(ix,iy,iz,iside,eg)</div>
<div><br>
</div>
<div> include 'SIZE'</div>
<div> include 'NEKUSE' !
UX, UY, UZ, TEMP, X, Y</div>
<div> include 'PARALLEL' !
GLLEL</div>
<div><br>
</div>
<div><br>
</div>
<div> integer e,eg</div>
<div><br>
</div>
<div>c velocity</div>
<div>c e = GLLEL(eg)</div>
<div> UX = 0.0</div>
<div> UY = 0.0</div>
<div> UZ = 0.0</div>
<div><br>
</div>
<div>c t</div>
<div> TEMP=0.0</div>
<div><br>
</div>
<div> return</div>
<div> end</div>
<div>c-----------------------------------------------------------------------</div>
<div> subroutine useric
(ix,iy,iz,ieg)</div>
<div><br>
</div>
<div> include 'SIZE'</div>
<div> include 'NEKUSE' !
UX, UY, UZ, TEMP, Z</div>
<div> </div>
<div> integer idum</div>
<div> save idum </div>
<div> data idum / 0 /</div>
<div><br>
</div>
<div> real eps</div>
<div><br>
</div>
<div> if (idum.eq.0) idum = 99 +
nid</div>
<div> eps = 0.1</div>
<div><br>
</div>
<div>c velocity</div>
<div>c random distribution</div>
<div> UX = eps*(ran1(idum)-0.50)</div>
<div> UY = eps*(ran1(idum)-0.50)</div>
<div> UZ = eps*(ran1(idum)-0.50)</div>
<div><br>
</div>
<div>c t</div>
<div> TEMP=0</div>
<div><br>
</div>
<div> return</div>
<div> end</div>
</div>
<div><br>
</div>
<div><br>
</div>
<div>
<div>40.0000 p109 : ARNOLDI:
frequency of calling arn_solve</div>
<div> 4.00000 p110 : ARNOLDI:
maximal number of arnoldi cycles</div>
<div> 90.0000 p111 : ARNOLDI: size
of Krylov space</div>
<div> 30.0000 p112 : ARNOLDI:
number of eigenvectors</div>
</div>
<div><br>
</div>
<div><br>
</div>
<div>If I am increasing the Krylov
subspace then will I get Eigen values at
lesser restart ?</div>
<div><br>
</div>
<div>Kindly help please as I am new to
this. Thanks in advance.</div>
<div><br>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div dir="ltr"
class="m_-1585782076635606836m_9031516644251136374gmail_signature"
data-smartmail="gmail_signature">
<div dir="ltr">
<div>
<div dir="ltr">Alok Mishra
<div>Research Scholar </div>
<div>Computational Propulsion Lab </div>
<div>Aerospace Department IIT Kanpur</div>
<div>+91-8795844555</div>
</div>
</div>
</div>
</div>
</div>
<br>
<fieldset
class="m_-1585782076635606836m_9031516644251136374mimeAttachmentHeader"></fieldset>
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<div dir="ltr">Alok Mishra
<div>Research Scholar </div>
<div>Computational Propulsion Lab </div>
<div>Aerospace Department IIT Kanpur</div>
<div>+91-8795844555</div>
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<pre class="moz-quote-pre" wrap="">_______________________________________________
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