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  • Poster Print Size: Complex and AracCve: Change Color Themereu.cct.lsu.edu/documents/2017-posters/Young-Poster.pdf · 2017-10-09 · Poster Print Size: This poster template is 36”
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Complex and ABracCve: WriCng and PloGng Scalar Field Data Evolving in a Black Hole Space-Cme Kade Young 1 ; Peter Diener, PhD 2,3 ; Frank Loffler, PhD 2 1 Department of MathemaAcs , Truman State University 2 Center for ComputaAon & Technology, Louisiana State University 3 Department of Physics & Astronomy Louisiana State University Kade Young Truman State University Email: [email protected] Contact References Predicted by Einstein’s General Theory of RelaAvity, gravitaAonal waves are wrinkles in space-Ame caused by massive, high-energy events. This research, as a whole, is aimed at simulaAng the gravitaAonal waves produced by an Extreme Mass RaAo Inspiral system of black holes. With the detecAon of these waves by LIGO, and the upcoming launch of the Laser Interferometer Space Antenna (LISA) (see figure 1), there is a need to simulate the gravitaAonal waves produced by parAcular systems. These simulaAons will help idenAfy waves during future detecAon efforts. This parAcular project worked with the data output by the simulaAon in efforts to reduce the size of the data and produce significant data plots. Abstract We were able to write a fortran rouAne, using the same structure as the original output fortran script, to output all of the data from the simulaAon into an HDF5 file. Outpuqng into HDF5 is, in fact, effecAve in reducing the size of the simulaAon’s data. For example, aCer a parAcular simulaAon, the output data in the ASCII files took about 50 GB of disk space while the same data output into an HDF5 file took 4 GB. This size raAo will remain the same for all sizes of simulaAons. Using the data now wrisen into an HDF5 file and a Python script, we create plots of all significant values, including the procession of the small black hole (see figure 3). Currently, the Python code that outputs the plots also creates a webpage overview of all relevant plots for each simulaAon. Figures 3 and 4 are examples of plots output to the webpage overview. Background Why HDF5? This simulaAon’s code originally output the data in a series of ASCII files. While useful, these ASCII files take up a large amount of disk space. Also, the simulaAon outputs data into a mulAtude of ASCII files depending on parameters, so it is someAmes difficult to find specific data that is needed. Outpuqng the data into an HDF5 (Hierarchical Data Format 5) file can not only reduce the disk size of the data, but can also make the data easier to work with. Since all the data is in one HDF5 file, it will also make wriAng code to plot the data easier and more efficient. PloGng There is also a need to produce relevant plots of parAcular data output by the simulaAon. These plots include: • A plot of the orbit of the parAcle around the super massive black hole • A plot of the self-force data for different l modes • Plots of the system’s angular momentum and energy Project DescripCon Moving forward, we would like to clean up the plots produced by our code, as well as produce animaAon and movie scripts to show how the field evolves over an enAre simulaAon. One of our current visualizaAon codes can only work with circular orbits of the small black hole, but we will eventually need it to work with other orbits as well. Future Work Extreme Mass RaCo Inspiral Extreme Mass RaAo Insiprals (or EMRIs), refer to a two-body system of a small black hole or neutron star rotaAng around a much larger black hole. This project is simulaAng an EMRI system of black holes: a small black hole orbiAng a super massive black hole. Because of the extreme differences in mass, the small black hole can be treated as a point mass and the super massive black hole can be treated as staAonary. The gravitaAonal waves produced by this system carry away energy and cause the smaller black hole to spiral inward toward the super massive black hole. Decomposing into Spherical Harmonics Since our system is in the spherically symetric Schwarzschild background metric, it is worth while to decompose into spherical harmonics. This gives us different l and m combinaAons to collect data from. When decomposing into spherical harmonics, the individual l-m modes de couple turning the 3+1D problem into a set of 1+1d problems that are easier to solve. Results Figure 1. An image of the approved LISA mission, a gravitaAonal wave detecAon system that is set to launch in 2030. It is supposed to be able to detect gravitaAonal waves from EMRI systems. [1] Figure 2. An example of how space-Ame is shaped in an EMRI system with a small black hole spiraling in toward a super massive black hole. The small black hole radiates gravitaAonal waves as it spirals inward. [2] Figure 3. The plot of the orbit of the small black hole around the super massive black hole located at the origin. NoAce that the small black hole actually rotates around the super massive black hole three Ames for one full orbit. Acknowledgements This material is based upon work supported by the NaAonal Science FoundaAon under award OCI-1560410 with addiAonal support from the Center for ComputaAon & Technology at Louisiana State University. Figure 4. A log log plot of the gravitaAonal self-force across different l modes. The self- force decreases as the inverse of l 2 , which is what is expected. [1] ESA. European Space Agency. Retrieved from hsp://sci.esa.int/lisa/46425-the-lisa-spacecraC-constellaAon/ [2] Extreme Mass RaAo Inspirals. Retrieved from hsps://en.wikipedia.org/wiki/Extreme_mass_raAo_inspiral 500 499 499 73 71 71 51 51 51 7.2 6.8 6.8 0 100 200 300 400 500 600 SimulaAon 1 SimulaAon 2 SimulaAon 3 SimulaAon 4 SimulaAon 5 SimulaAon 6 Disk Space Used (MB) Disk Space for File Types ASCII Disk Spsce HDF5 Disk Space 404.2 400.6 415.5 135.9 135.1 135.4 133.1 83.9 86.8 192.7 57.1 53.3 0 50 100 150 200 250 300 350 400 450 SimulaAon 1 SimulaAon 2 SimulaAon 3 SimulaAon 4 SimulaAon 5 SimulaAon 6 Run Time (seconds) Run Time for File Types ASCII Disk Spsce HDF5 Disk Space Chart 1 and 2. Charts depicAng the difference in disk space usage and run Ame for 6 different simulaAons. SimulaAons 1,2, and 3 output one dimensional data every 100 iteraAons, while varying the amount of zero dimensional data every 10, 100, and 1000 iteraAons respecAvely. SimulaAons 4,5, and 6 have the same variaAon of zero dimensional output, but one dimensional data is wrisen every 1000 iteraAons. NoAce that, in all simulaAons, using an HDF5 data format significantly reduces disk space. Also, with the excepAon of simulaAon 4, the run Ame is also significantly reduced by using HDF5.

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Page 1: Poster Print Size: Complex and AracCve: Change Color Themereu.cct.lsu.edu/documents/2017-posters/Young-Poster.pdf · 2017-10-09 · Poster Print Size: This poster template is 36”

PosterPrintSize:Thispostertemplateis36”highby48”wide.Itcanbeusedtoprintanyposterwitha3:4aspectraAo.

Placeholders:ThevariouselementsincludedinthisposterareonesweoCenseeinmedical,research,andscienAficposters.Feelfreetoedit,move,add,anddeleteitems,orchangethelayouttosuityourneeds.Alwayscheckwithyourconferenceorganizerforspecificrequirements.

ImageQuality:YoucanplacedigitalphotosorlogoartinyourposterfilebyselecAngtheInsert,Picturecommand,orbyusingstandardcopy&paste.Forbestresults,allgraphicelementsshouldbeatleast150-200pixelsperinchintheirfinalprintedsize.Forinstance,a1600x1200pixelphotowillusuallylookfineupto8“-10”wideonyourprintedposter.Topreviewtheprintqualityofimages,selectamagnificaAonof100%whenpreviewingyourposter.Thiswillgiveyouagoodideaofwhatitwilllooklikeinprint.Ifyouarelayingoutalargeposterandusinghalf-scaledimensions,besuretopreviewyourgraphicsat200%toseethemattheirfinalprintedsize.Pleasenotethatgraphicsfromwebsites(suchasthelogoonyourhospital'soruniversity'shomepage)willonlybe72dpiandnotsuitableforprinAng.

[Thissidebarareadoesnotprint.]

ChangeColorTheme:Thistemplateisdesignedtousethebuilt-incolorthemesinthenewerversionsofPowerPoint.Tochangethecolortheme,selecttheDesigntab,thenselecttheColorsdrop-downlist.Thedefaultcolorthemeforthistemplateis“Office”,soyoucanalwaysreturntothataCertryingsomeofthealternaAves.

PrinAngYourPoster:Onceyourposterfileisready,visitwww.genigraphics.comtoorderahigh-quality,affordableposterprint.EveryorderreceivesafreedesignreviewandwecandeliverasfastasnextbusinessdaywithintheUSandCanada.Genigraphics®hasbeenproducingoutputfromPowerPoint®longerthananyoneintheindustry;daAngbacktowhenwehelpedMicrosoC®designthePowerPoint®soCware.USandCanada:1-800-790-4001Email:[email protected]

[Thissidebarareadoesnotprint.]

ComplexandABracCve:WriCngandPloGngScalarFieldDataEvolvinginaBlackHoleSpace-Cme

KadeYoung1;PeterDiener,PhD2,3;FrankLoffler,PhD2

1DepartmentofMathemaAcs,TrumanStateUniversity2CenterforComputaAon&Technology,LouisianaStateUniversity3DepartmentofPhysics&AstronomyLouisianaStateUniversity

KadeYoungTrumanStateUniversityEmail:[email protected]

Contact References

PredictedbyEinstein’sGeneralTheoryofRelaAvity,gravitaAonalwavesarewrinklesinspace-Amecausedbymassive,high-energyevents.Thisresearch,asawhole,isaimedatsimulaAngthegravitaAonalwavesproducedbyanExtremeMassRaAoInspiralsystemofblackholes.WiththedetecAonofthesewavesbyLIGO,andtheupcominglaunchoftheLaserInterferometerSpaceAntenna(LISA)(seefigure1),thereisaneedtosimulatethegravitaAonalwavesproducedbyparAcularsystems.ThesesimulaAonswillhelpidenAfywavesduringfuturedetecAonefforts.ThisparAcularprojectworkedwiththedataoutputbythesimulaAonineffortstoreducethesizeofthedataandproducesignificantdataplots.

Abstract

WewereabletowriteafortranrouAne,usingthesamestructureastheoriginaloutputfortranscript,tooutputallofthedatafromthesimulaAonintoanHDF5file.OutpuqngintoHDF5is,infact,effecAveinreducingthesizeofthesimulaAon’sdata.Forexample,aCeraparAcularsimulaAon,theoutputdataintheASCIIfilestookabout50GBofdiskspacewhilethesamedataoutputintoanHDF5filetook4GB.ThissizeraAowillremainthesameforallsizesofsimulaAons.UsingthedatanowwrisenintoanHDF5fileandaPythonscript,wecreateplotsofallsignificantvalues,includingtheprocessionofthesmallblackhole(seefigure3).Currently,thePythoncodethatoutputstheplotsalsocreatesawebpageoverviewofallrelevantplotsforeachsimulaAon.Figures3and4areexamplesofplotsoutputtothewebpageoverview.

Background

WhyHDF5?ThissimulaAon’scodeoriginallyoutputthedatainaseriesofASCIIfiles.Whileuseful,theseASCIIfilestakeupalargeamountofdiskspace.Also,thesimulaAonoutputsdataintoamulAtudeofASCIIfilesdependingonparameters,soitissomeAmesdifficulttofindspecificdatathatisneeded.OutpuqngthedataintoanHDF5(HierarchicalDataFormat5)filecannotonlyreducethedisksizeofthedata,butcanalsomakethedataeasiertoworkwith.SinceallthedataisinoneHDF5file,itwillalsomakewriAngcodetoplotthedataeasierandmoreefficient.

PloGngThereisalsoaneedtoproducerelevantplotsofparAculardataoutputbythesimulaAon.Theseplotsinclude:•  AplotoftheorbitoftheparAclearoundthesupermassiveblackhole•  Aplotoftheself-forcedatafordifferentlmodes•  Plotsofthesystem’sangularmomentumandenergy

ProjectDescripCon

Movingforward,wewouldliketocleanuptheplotsproducedbyourcode,aswellasproduceanimaAonandmoviescriptstoshowhowthefieldevolvesoveranenAresimulaAon.OneofourcurrentvisualizaAoncodescanonlyworkwithcircularorbitsofthesmallblackhole,butwewilleventuallyneedittoworkwithotherorbitsaswell.

FutureWork

ExtremeMassRaCoInspiralExtremeMassRaAoInsiprals(orEMRIs),refertoatwo-bodysystemofasmallblackholeorneutronstarrotaAngaroundamuchlargerblackhole.ThisprojectissimulaAnganEMRIsystemofblackholes:asmallblackholeorbiAngasupermassiveblackhole.Becauseoftheextremedifferencesinmass,thesmallblackholecanbetreatedasapointmassandthesupermassiveblackholecanbetreatedasstaAonary.ThegravitaAonalwavesproducedbythissystemcarryawayenergyandcausethesmallerblackholetospiralinwardtowardthesupermassiveblackhole.

DecomposingintoSphericalHarmonicsSinceoursystemisinthesphericallysymetricSchwarzschildbackgroundmetric,itisworthwhiletodecomposeintosphericalharmonics.ThisgivesusdifferentlandmcombinaAonstocollectdatafrom.Whendecomposingintosphericalharmonics,theindividuall-mmodesdecoupleturningthe3+1Dproblemintoasetof1+1dproblemsthatareeasiertosolve.

Results

Figure1.AnimageoftheapprovedLISAmission,agravitaAonalwavedetecAonsystemthatissettolaunchin2030.ItissupposedtobeabletodetectgravitaAonalwavesfromEMRIsystems.[1]

Figure2.Anexampleofhowspace-AmeisshapedinanEMRIsystemwithasmallblackholespiralingintowardasupermassiveblackhole.ThesmallblackholeradiatesgravitaAonalwavesasitspiralsinward.[2] Figure3.Theplotoftheorbitofthesmall

blackholearoundthesupermassiveblackholelocatedattheorigin.NoAcethatthesmallblackholeactuallyrotatesaroundthesupermassiveblackholethreeAmesforonefullorbit.

AcknowledgementsThismaterialisbaseduponworksupportedbytheNaAonalScienceFoundaAonunderawardOCI-1560410withaddiAonalsupportfromtheCenterforComputaAon&TechnologyatLouisianaStateUniversity.

Figure4.AloglogplotofthegravitaAonalself-forceacrossdifferentlmodes.Theself-forcedecreasesastheinverseofl2,whichiswhatisexpected.

[1]ESA.EuropeanSpaceAgency.Retrievedfromhsp://sci.esa.int/lisa/46425-the-lisa-spacecraC-constellaAon/[2]ExtremeMassRaAoInspirals.Retrievedfromhsps://en.wikipedia.org/wiki/Extreme_mass_raAo_inspiral

500 499 499

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Chart1and2.ChartsdepicAngthedifferenceindiskspaceusageandrunAmefor6differentsimulaAons.SimulaAons1,2,and3outputonedimensionaldataevery100iteraAons,whilevaryingtheamountofzerodimensionaldataevery10,100,and1000iteraAonsrespecAvely.SimulaAons4,5,and6havethesamevariaAonofzerodimensionaloutput,butonedimensionaldataiswrisenevery1000iteraAons.NoAcethat,inallsimulaAons,usinganHDF5dataformatsignificantlyreducesdiskspace.Also,withtheexcepAonofsimulaAon4,therunAmeisalsosignificantlyreducedbyusingHDF5.

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