[Nek5000-users] Contents of Nek5000-users digest Corner elements giving large values
nek5000-users at lists.mcs.anl.gov
nek5000-users at lists.mcs.anl.gov
Tue Jun 6 07:36:54 CDT 2017
Hi Phil,
Thanks for the suggestion. I will certainly look into it.
Swarandeep
On Mon, Jun 5, 2017 at 10:56 PM, <nek5000-users at lists.mcs.anl.gov> wrote:
> Swarandeep,
>
> Another issue that can arise in RBC simulations is poor numerical
> conditioning due to the non-dimensionalization. The non-dimensional form of
> the equations used in the Nek5000 examples is based off the conduction
> scales which result in a very small time-step and large velocities at larger
> Ra. I don't think you're case is high enough for it to be a problem, but
> you might try using the "freefall" scales if you aren't already.
>
> I suggest consulting the Scheel, Emran and Schumacher paper for some details
> on running an RBC simulation with Nek5000.
>
> Scheel, Janet D., Mohammad S. Emran, and Jörg Schumacher. "Resolving the
> fine-scale structure in turbulent Rayleigh–Bénard convection." New Journal
> of Physics 15.11 (2013): 113063.
>
> Kind Regards,
>
> Phil S.
>
> On Mon, Jun 5, 2017 at 10:00 AM, <nek5000-users-request at lists.mcs.anl.gov>
> wrote:
>>
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>> Today's Topics:
>>
>> 1. Re: Corner elements giving large values
>> (nek5000-users at lists.mcs.anl.gov)
>> 2. Re: Corner elements giving large values
>> (nek5000-users at lists.mcs.anl.gov)
>>
>>
>> ----------------------------------------------------------------------
>>
>> Message: 1
>> Date: Mon, 5 Jun 2017 01:12:39 +0530
>> From: nek5000-users at lists.mcs.anl.gov
>> To: nek5000-users at lists.mcs.anl.gov
>> Subject: Re: [Nek5000-users] Corner elements giving large values
>> Message-ID:
>> <mailman.7988.1496605362.2967.nek5000-users at lists.mcs.anl.gov>
>> Content-Type: text/plain; charset="UTF-8"
>>
>> Hi Nek Forum, Paul
>>
>> Thanks for the suggestions. I implemented them. Waiting for the
>> simulation to be over.
>>
>> Another issue I have is that the BC for T at the inner cylinder wall
>> does not stay at 0 as I have given in userbc. It becomes 0.2 over some
>> time.
>>
>> Thank you
>> Swarandeep
>>
>>
>>
>>
>>
>> On Fri, Jun 2, 2017 at 10:28 PM, <nek5000-users at lists.mcs.anl.gov> wrote:
>> >
>> > Hi Swarandeep,
>> >
>> > Set p26 in the .rea file to be 0.1 and make certain IFCHAR is F (a few
>> > lines below);
>> >
>> > Make certain your dt is positive (param 12)
>> >
>> > Paul
>> >
>> > ________________________________________
>> > From: nek5000-users-bounces at lists.mcs.anl.gov
>> > [nek5000-users-bounces at lists.mcs.anl.gov] on behalf of
>> > nek5000-users at lists.mcs.anl.gov [nek5000-users at lists.mcs.anl.gov]
>> > Sent: Friday, June 02, 2017 10:31 AM
>> > To: nek5000-users at lists.mcs.anl.gov
>> > Subject: Re: [Nek5000-users] Corner elements giving large values
>> >
>> > Dear Nek Forum, Paul
>> >
>> > Yes, I have user defined grid such that the locations of the
>> > elements are distributed to lie on the chebyshev grid at the top and
>> > bottom and near the side walls.
>> > Also please tell which param sets the CFL.
>> >
>> > Thank you
>> > Swarandeep
>> >
>> >
>> > On Fri, Jun 2, 2017 at 8:00 PM, <nek5000-users at lists.mcs.anl.gov>
>> > wrote:
>> >>
>> >> Dear Swarandeep,
>> >>
>> >> Did you refine your element size at the top and bottom and near the
>> >> side walls?
>> >>
>> >> Please set your CFL to 0.05 in order to get the flow started.
>> >>
>> >> Best,
>> >>
>> >>
>> >> Paul
>> >>
>> >> ________________________________________
>> >> From: nek5000-users-bounces at lists.mcs.anl.gov
>> >> [nek5000-users-bounces at lists.mcs.anl.gov] on behalf of
>> >> nek5000-users at lists.mcs.anl.gov [nek5000-users at lists.mcs.anl.gov]
>> >> Sent: Friday, June 02, 2017 1:04 AM
>> >> To: nek5000-users at lists.mcs.anl.gov
>> >> Subject: Re: [Nek5000-users] Corner elements giving large values
>> >>
>> >> Hi Nek Forum, Paul
>> >>
>> >> The top and bottom BC are zero heat flux. Please let me n=know
>> >> how to control the CFL. It is 0.5 in the logfile. I am having no
>> >> particular difficulty except these corner elements at the junction of
>> >> inner cylinder and the top/bottom planes. Is there a better way to
>> >> treat edge boundary elements. Also is it possible to have different
>> >> order of elements at different locations.
>> >>
>> >> Thank you
>> >> Swarandeep
>> >>
>> >> On Fri, Jun 2, 2017 at 12:50 AM, <nek5000-users at lists.mcs.anl.gov>
>> >> wrote:
>> >>>
>> >>> Hi Swarandeep,
>> >>>
>> >>> Sorry - I misunderstood. I guess my question was more about the
>> >>> temperature bcs at the bottom and top of the domain?
>> >>>
>> >>> In general, however, there should be no difficulty. What happens
>> >>> when you reduce your dt ?
>> >>>
>> >>> You need to keep the CFL < ~0.5 in general. CFL is printed in the
>> >>> logfile,
>> >>>
>> >>> grep tep logfile
>> >>>
>> >>> and you'll see it "C= ....."
>> >>>
>> >>> Paul
>> >>>
>> >>>
>> >>>
>> >>>
>> >>> ________________________________________
>> >>> From: nek5000-users-bounces at lists.mcs.anl.gov
>> >>> [nek5000-users-bounces at lists.mcs.anl.gov] on behalf of
>> >>> nek5000-users at lists.mcs.anl.gov [nek5000-users at lists.mcs.anl.gov]
>> >>> Sent: Thursday, June 01, 2017 1:57 PM
>> >>> To: nek5000-users at lists.mcs.anl.gov
>> >>> Subject: Re: [Nek5000-users] Corner elements giving large values
>> >>>
>> >>> Hi NekForum, Paul
>> >>>
>> >>> I intent to have isothermal conditions at the inner and outer
>> >>> cylinders. The differential heating is achieved by imposing a
>> >>> temperature difference across the two cylinders. I have used T = 1 and
>> >>> 0 values for non-dimensional temperature. I think it should be fine.
>> >>> Do you see any problem here.
>> >>>
>> >>> Thank you
>> >>> Swarandeep
>> >>>
>> >>> On Thu, Jun 1, 2017 at 11:28 PM, <nek5000-users at lists.mcs.anl.gov>
>> >>> wrote:
>> >>>>
>> >>>> Hi Swarandeep,
>> >>>>
>> >>>> Is 0/1 a realistic BC for T ?
>> >>>>
>> >>>> Best,
>> >>>>
>> >>>> Paul
>> >>>>
>> >>>> ________________________________________
>> >>>> From: nek5000-users-bounces at lists.mcs.anl.gov
>> >>>> [nek5000-users-bounces at lists.mcs.anl.gov] on behalf of
>> >>>> nek5000-users at lists.mcs.anl.gov [nek5000-users at lists.mcs.anl.gov]
>> >>>> Sent: Thursday, June 01, 2017 12:53 PM
>> >>>> To: nek5000-users at lists.mcs.anl.gov
>> >>>> Subject: Re: [Nek5000-users] Corner elements giving large values
>> >>>>
>> >>>> Hi Nek Forum, Paul
>> >>>>
>> >>>> I am having temp = 1 and temp = 0 at the inner and outer
>> >>>> boundaries. Gravity is pointing in the -ve z-direction along the axis
>> >>>> of the
>> >>>> annulus. The top and bottom planes have zero heat flux
>> >>>> conditions.
>> >>>> I have Coriolis force added as a body force.
>> >>>> The Rayleigh number is around 10000. The resolution is 8, 25,
>> >>>> 24 elements in the r, phi and z directions respectively with order 9.
>> >>>> My initial condition is very low arbitrary velocity
>> >>>> perturbation (~10^(-8)). The time resolution is set to 10^(-5) for
>> >>>> param12. The CFL is
>> >>>> set to 0.5. Please indicate how to control it.
>> >>>>
>> >>>> As you have rightly mentioned, I start the simulation with a
>> >>>> very low value of the Rayleigh number and gradually increase it. Yet,
>> >>>> the corner values only get large. Other regions of the domain are
>> >>>> fine.
>> >>>>
>> >>>> Thank you
>> >>>> Swarandeep
>> >>>>
>> >>>> On Thu, Jun 1, 2017 at 7:38 PM, <nek5000-users at lists.mcs.anl.gov>
>> >>>> wrote:
>> >>>>>
>> >>>>> Hi Swarandeep,
>> >>>>>
>> >>>>> How large is your Rayleigh number and what is your resolution?
>> >>>>> What are your thermal bcs? What are your ICs?
>> >>>>>
>> >>>>> There should be no particular issue with your configuration - but
>> >>>>> you do need to
>> >>>>> control spatial and temporal resolution.
>> >>>>>
>> >>>>>
>> >>>>> For RB, you often have to start at low Ra and/or small dt because
>> >>>>> the nonlinear
>> >>>>> response can often drive the velocities to be quite high very
>> >>>>> rapidly before the
>> >>>>> CFL constraint kicks in. RB flows are one of the rare instances
>> >>>>> where I use
>> >>>>> variable time step size (param 12 > 0), but even then you have to
>> >>>>> keep the target
>> >>>>> CFL quite small until the flow is established.
>> >>>>>
>> >>>>> hth,
>> >>>>>
>> >>>>> Paul
>> >>>>>
>> >>>>> ________________________________________
>> >>>>> From: nek5000-users-bounces at lists.mcs.anl.gov
>> >>>>> [nek5000-users-bounces at lists.mcs.anl.gov] on behalf of
>> >>>>> nek5000-users at lists.mcs.anl.gov [nek5000-users at lists.mcs.anl.gov]
>> >>>>> Sent: Thursday, June 01, 2017 7:27 AM
>> >>>>> To: nek5000-users at lists.mcs.anl.gov
>> >>>>> Subject: [Nek5000-users] Corner elements giving large values
>> >>>>>
>> >>>>> Dear Nek forum,
>> >>>>>
>> >>>>> I am simulating Rayleigh Benard flow in a 3D finite
>> >>>>> cylindrical annulus.
>> >>>>> I am getting spurious large values of velocity at the corner
>> >>>>> regions
>> >>>>> of the annulus i.e. the edges where the inner cylinder joins
>> >>>>> the
>> >>>>> top and bottom
>> >>>>> planes. The boundary condition is no-slip and no penetration
>> >>>>> for velocity
>> >>>>> at these edges. Can someone point out a plausible reason.
>> >>>>>
>> >>>>> Thank you
>> >>>>> Swarandeep
>> >>>>> _______________________________________________
>> >>>>> Nek5000-users mailing list
>> >>>>> Nek5000-users at lists.mcs.anl.gov
>> >>>>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >>>>> _______________________________________________
>> >>>>> Nek5000-users mailing list
>> >>>>> Nek5000-users at lists.mcs.anl.gov
>> >>>>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >>>> _______________________________________________
>> >>>> Nek5000-users mailing list
>> >>>> Nek5000-users at lists.mcs.anl.gov
>> >>>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >>>> _______________________________________________
>> >>>> Nek5000-users mailing list
>> >>>> Nek5000-users at lists.mcs.anl.gov
>> >>>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >>> _______________________________________________
>> >>> Nek5000-users mailing list
>> >>> Nek5000-users at lists.mcs.anl.gov
>> >>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >>> _______________________________________________
>> >>> Nek5000-users mailing list
>> >>> Nek5000-users at lists.mcs.anl.gov
>> >>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >> _______________________________________________
>> >> Nek5000-users mailing list
>> >> Nek5000-users at lists.mcs.anl.gov
>> >> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >> _______________________________________________
>> >> Nek5000-users mailing list
>> >> Nek5000-users at lists.mcs.anl.gov
>> >> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> > _______________________________________________
>> > Nek5000-users mailing list
>> > Nek5000-users at lists.mcs.anl.gov
>> > https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> > _______________________________________________
>> > Nek5000-users mailing list
>> > Nek5000-users at lists.mcs.anl.gov
>> > https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>>
>>
>> ------------------------------
>>
>> Message: 2
>> Date: Mon, 5 Jun 2017 01:20:04 +0000
>> From: nek5000-users at lists.mcs.anl.gov
>> To: "nek5000-users at lists.mcs.anl.gov"
>> <nek5000-users at lists.mcs.anl.gov>
>> Subject: Re: [Nek5000-users] Corner elements giving large values
>> Message-ID:
>> <mailman.7989.1496625605.2967.nek5000-users at lists.mcs.anl.gov>
>> Content-Type: text/plain; charset="us-ascii"
>>
>>
>> Swarandeep,
>>
>> if you send me your .rea/.usr/SIZE file off-list, I'll take a look.
>>
>> Paul
>> ________________________________________
>> From: nek5000-users-bounces at lists.mcs.anl.gov
>> [nek5000-users-bounces at lists.mcs.anl.gov] on behalf of
>> nek5000-users at lists.mcs.anl.gov [nek5000-users at lists.mcs.anl.gov]
>> Sent: Sunday, June 04, 2017 2:42 PM
>> To: nek5000-users at lists.mcs.anl.gov
>> Subject: Re: [Nek5000-users] Corner elements giving large values
>>
>> Hi Nek Forum, Paul
>>
>> Thanks for the suggestions. I implemented them. Waiting for the
>> simulation to be over.
>>
>> Another issue I have is that the BC for T at the inner cylinder wall
>> does not stay at 0 as I have given in userbc. It becomes 0.2 over some
>> time.
>>
>> Thank you
>> Swarandeep
>>
>>
>>
>>
>>
>> On Fri, Jun 2, 2017 at 10:28 PM, <nek5000-users at lists.mcs.anl.gov> wrote:
>> >
>> > Hi Swarandeep,
>> >
>> > Set p26 in the .rea file to be 0.1 and make certain IFCHAR is F (a few
>> > lines below);
>> >
>> > Make certain your dt is positive (param 12)
>> >
>> > Paul
>> >
>> > ________________________________________
>> > From: nek5000-users-bounces at lists.mcs.anl.gov
>> > [nek5000-users-bounces at lists.mcs.anl.gov] on behalf of
>> > nek5000-users at lists.mcs.anl.gov [nek5000-users at lists.mcs.anl.gov]
>> > Sent: Friday, June 02, 2017 10:31 AM
>> > To: nek5000-users at lists.mcs.anl.gov
>> > Subject: Re: [Nek5000-users] Corner elements giving large values
>> >
>> > Dear Nek Forum, Paul
>> >
>> > Yes, I have user defined grid such that the locations of the
>> > elements are distributed to lie on the chebyshev grid at the top and
>> > bottom and near the side walls.
>> > Also please tell which param sets the CFL.
>> >
>> > Thank you
>> > Swarandeep
>> >
>> >
>> > On Fri, Jun 2, 2017 at 8:00 PM, <nek5000-users at lists.mcs.anl.gov>
>> > wrote:
>> >>
>> >> Dear Swarandeep,
>> >>
>> >> Did you refine your element size at the top and bottom and near the
>> >> side walls?
>> >>
>> >> Please set your CFL to 0.05 in order to get the flow started.
>> >>
>> >> Best,
>> >>
>> >>
>> >> Paul
>> >>
>> >> ________________________________________
>> >> From: nek5000-users-bounces at lists.mcs.anl.gov
>> >> [nek5000-users-bounces at lists.mcs.anl.gov] on behalf of
>> >> nek5000-users at lists.mcs.anl.gov [nek5000-users at lists.mcs.anl.gov]
>> >> Sent: Friday, June 02, 2017 1:04 AM
>> >> To: nek5000-users at lists.mcs.anl.gov
>> >> Subject: Re: [Nek5000-users] Corner elements giving large values
>> >>
>> >> Hi Nek Forum, Paul
>> >>
>> >> The top and bottom BC are zero heat flux. Please let me n=know
>> >> how to control the CFL. It is 0.5 in the logfile. I am having no
>> >> particular difficulty except these corner elements at the junction of
>> >> inner cylinder and the top/bottom planes. Is there a better way to
>> >> treat edge boundary elements. Also is it possible to have different
>> >> order of elements at different locations.
>> >>
>> >> Thank you
>> >> Swarandeep
>> >>
>> >> On Fri, Jun 2, 2017 at 12:50 AM, <nek5000-users at lists.mcs.anl.gov>
>> >> wrote:
>> >>>
>> >>> Hi Swarandeep,
>> >>>
>> >>> Sorry - I misunderstood. I guess my question was more about the
>> >>> temperature bcs at the bottom and top of the domain?
>> >>>
>> >>> In general, however, there should be no difficulty. What happens
>> >>> when you reduce your dt ?
>> >>>
>> >>> You need to keep the CFL < ~0.5 in general. CFL is printed in the
>> >>> logfile,
>> >>>
>> >>> grep tep logfile
>> >>>
>> >>> and you'll see it "C= ....."
>> >>>
>> >>> Paul
>> >>>
>> >>>
>> >>>
>> >>>
>> >>> ________________________________________
>> >>> From: nek5000-users-bounces at lists.mcs.anl.gov
>> >>> [nek5000-users-bounces at lists.mcs.anl.gov] on behalf of
>> >>> nek5000-users at lists.mcs.anl.gov [nek5000-users at lists.mcs.anl.gov]
>> >>> Sent: Thursday, June 01, 2017 1:57 PM
>> >>> To: nek5000-users at lists.mcs.anl.gov
>> >>> Subject: Re: [Nek5000-users] Corner elements giving large values
>> >>>
>> >>> Hi NekForum, Paul
>> >>>
>> >>> I intent to have isothermal conditions at the inner and outer
>> >>> cylinders. The differential heating is achieved by imposing a
>> >>> temperature difference across the two cylinders. I have used T = 1 and
>> >>> 0 values for non-dimensional temperature. I think it should be fine.
>> >>> Do you see any problem here.
>> >>>
>> >>> Thank you
>> >>> Swarandeep
>> >>>
>> >>> On Thu, Jun 1, 2017 at 11:28 PM, <nek5000-users at lists.mcs.anl.gov>
>> >>> wrote:
>> >>>>
>> >>>> Hi Swarandeep,
>> >>>>
>> >>>> Is 0/1 a realistic BC for T ?
>> >>>>
>> >>>> Best,
>> >>>>
>> >>>> Paul
>> >>>>
>> >>>> ________________________________________
>> >>>> From: nek5000-users-bounces at lists.mcs.anl.gov
>> >>>> [nek5000-users-bounces at lists.mcs.anl.gov] on behalf of
>> >>>> nek5000-users at lists.mcs.anl.gov [nek5000-users at lists.mcs.anl.gov]
>> >>>> Sent: Thursday, June 01, 2017 12:53 PM
>> >>>> To: nek5000-users at lists.mcs.anl.gov
>> >>>> Subject: Re: [Nek5000-users] Corner elements giving large values
>> >>>>
>> >>>> Hi Nek Forum, Paul
>> >>>>
>> >>>> I am having temp = 1 and temp = 0 at the inner and outer
>> >>>> boundaries. Gravity is pointing in the -ve z-direction along the axis
>> >>>> of the
>> >>>> annulus. The top and bottom planes have zero heat flux
>> >>>> conditions.
>> >>>> I have Coriolis force added as a body force.
>> >>>> The Rayleigh number is around 10000. The resolution is 8, 25,
>> >>>> 24 elements in the r, phi and z directions respectively with order 9.
>> >>>> My initial condition is very low arbitrary velocity
>> >>>> perturbation (~10^(-8)). The time resolution is set to 10^(-5) for
>> >>>> param12. The CFL is
>> >>>> set to 0.5. Please indicate how to control it.
>> >>>>
>> >>>> As you have rightly mentioned, I start the simulation with a
>> >>>> very low value of the Rayleigh number and gradually increase it. Yet,
>> >>>> the corner values only get large. Other regions of the domain are
>> >>>> fine.
>> >>>>
>> >>>> Thank you
>> >>>> Swarandeep
>> >>>>
>> >>>> On Thu, Jun 1, 2017 at 7:38 PM, <nek5000-users at lists.mcs.anl.gov>
>> >>>> wrote:
>> >>>>>
>> >>>>> Hi Swarandeep,
>> >>>>>
>> >>>>> How large is your Rayleigh number and what is your resolution?
>> >>>>> What are your thermal bcs? What are your ICs?
>> >>>>>
>> >>>>> There should be no particular issue with your configuration - but
>> >>>>> you do need to
>> >>>>> control spatial and temporal resolution.
>> >>>>>
>> >>>>>
>> >>>>> For RB, you often have to start at low Ra and/or small dt because
>> >>>>> the nonlinear
>> >>>>> response can often drive the velocities to be quite high very
>> >>>>> rapidly before the
>> >>>>> CFL constraint kicks in. RB flows are one of the rare instances
>> >>>>> where I use
>> >>>>> variable time step size (param 12 > 0), but even then you have to
>> >>>>> keep the target
>> >>>>> CFL quite small until the flow is established.
>> >>>>>
>> >>>>> hth,
>> >>>>>
>> >>>>> Paul
>> >>>>>
>> >>>>> ________________________________________
>> >>>>> From: nek5000-users-bounces at lists.mcs.anl.gov
>> >>>>> [nek5000-users-bounces at lists.mcs.anl.gov] on behalf of
>> >>>>> nek5000-users at lists.mcs.anl.gov [nek5000-users at lists.mcs.anl.gov]
>> >>>>> Sent: Thursday, June 01, 2017 7:27 AM
>> >>>>> To: nek5000-users at lists.mcs.anl.gov
>> >>>>> Subject: [Nek5000-users] Corner elements giving large values
>> >>>>>
>> >>>>> Dear Nek forum,
>> >>>>>
>> >>>>> I am simulating Rayleigh Benard flow in a 3D finite
>> >>>>> cylindrical annulus.
>> >>>>> I am getting spurious large values of velocity at the corner
>> >>>>> regions
>> >>>>> of the annulus i.e. the edges where the inner cylinder joins
>> >>>>> the
>> >>>>> top and bottom
>> >>>>> planes. The boundary condition is no-slip and no penetration
>> >>>>> for velocity
>> >>>>> at these edges. Can someone point out a plausible reason.
>> >>>>>
>> >>>>> Thank you
>> >>>>> Swarandeep
>> >>>>> _______________________________________________
>> >>>>> Nek5000-users mailing list
>> >>>>> Nek5000-users at lists.mcs.anl.gov
>> >>>>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >>>>> _______________________________________________
>> >>>>> Nek5000-users mailing list
>> >>>>> Nek5000-users at lists.mcs.anl.gov
>> >>>>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >>>> _______________________________________________
>> >>>> Nek5000-users mailing list
>> >>>> Nek5000-users at lists.mcs.anl.gov
>> >>>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >>>> _______________________________________________
>> >>>> Nek5000-users mailing list
>> >>>> Nek5000-users at lists.mcs.anl.gov
>> >>>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >>> _______________________________________________
>> >>> Nek5000-users mailing list
>> >>> Nek5000-users at lists.mcs.anl.gov
>> >>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >>> _______________________________________________
>> >>> Nek5000-users mailing list
>> >>> Nek5000-users at lists.mcs.anl.gov
>> >>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >> _______________________________________________
>> >> Nek5000-users mailing list
>> >> Nek5000-users at lists.mcs.anl.gov
>> >> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> >> _______________________________________________
>> >> Nek5000-users mailing list
>> >> Nek5000-users at lists.mcs.anl.gov
>> >> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> > _______________________________________________
>> > Nek5000-users mailing list
>> > Nek5000-users at lists.mcs.anl.gov
>> > https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> > _______________________________________________
>> > Nek5000-users mailing list
>> > Nek5000-users at lists.mcs.anl.gov
>> > https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>> _______________________________________________
>> Nek5000-users mailing list
>> Nek5000-users at lists.mcs.anl.gov
>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>>
>>
>> ------------------------------
>>
>> _______________________________________________
>> Nek5000-users mailing list
>> Nek5000-users at lists.mcs.anl.gov
>> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>>
>>
>> End of Nek5000-users Digest, Vol 100, Issue 4
>> *********************************************
>
>
>
>
> --
> Phil Sakievich
>
> Post Doctoral Research Associate - Mechanical and Aerospace Engineering
> Arizona State University - Ira A. Fulton School for Engineering of Matter
> Transport and Energy
> Tempe, Arizona
>
> _______________________________________________
> Nek5000-users mailing list
> Nek5000-users at lists.mcs.anl.gov
> https://lists.mcs.anl.gov/mailman/listinfo/nek5000-users
>
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