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Introduction to Computational Nuclear Astrophysics with Two Exemplary Codes : FLASH and MESA Kyujin Kwak Korean Astronomy and Space Science Institute (KASI) 2 nd Dogye Workshop on Nuclear Physics and Nuclear Astrophysics

Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

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Page 1: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Introduction to Computational Nuclear Astrophysics with Two Exemplary Codes

: FLASH and MESA

Kyujin KwakKorean Astronomy and Space Science Institute

(KASI)2nd Dogye Workshop on

Nuclear Physics and Nuclear Astrophysics

Page 2: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Outlines

• Motivation– Introduce computer codes that model connections

between nuclear physics (both experiments and theory) and observations

• Introduction– Nuclear Physics for Astronomy– Observations/Astrophysical Phenomena: stars/stellar

evolution, novae/supernovae, X-ray Bursts, gamma-ray bursts, neutron stars

• Two Example Codes: FLASH and MESA

Page 3: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Nuclear Physics for Astronomy

from http://www.phy.ornl.gov/hribf/science/abc/

발표자
프레젠테이션 노트
Figure 1 - On this chart of the nuclides (isotopes), black squares represent stable nuclei and the yellow squares indicate unstable nuclei that have been produced and studied in the laboratory. The many thousands of these unstable nuclei yet to be explored are indicated in green. The red vertical and horizontal lines show the magic numbers, reflecting regions where nuclei are expected to be more tightly bound and have longer half-lives.
Page 4: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

from http://radchem.nevada.edu/

Page 5: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Stars

From http://www.jca.umbc.edu/~george/html/courses/

Hipparchus Observations

Image from Greg Bothun

Page 6: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Novae

• H and He accreted from a companion star onto a white-dwarf go through nuclear burning and explodes producing a bright flash of light.

• If the total mass of accreted material plus the original WD is larger than Chandrasekhar limit, it explodes as a supernova (Type Ia) rather than a nova.

Page 7: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Supernovae

• Observations

– Type I: No Hydrogen

– Type II: Hydrogen

• Progenitors

– Type I: detonation of NS in the binary

– Type II: core collapse of a single star

Page 8: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Supernova taxonomy

Type INo hydrogen

Type IaPresents a singly ionized silicon (Si II) line at 615.0 nm (nanometers), near peak light

Type Ib/cWeak or no silicon absorption feature

Type IbShows a non-ionized helium (He I) line at 587.6 nm

Type IcWeak or no helium

Type IIShows hydrogen

Type II-P/L/NType II spectrum throughout

Type II-P/LNo narrow lines

Type II-PReaches a "plateau" in its light curve

Type II-LDisplays a "linear" decrease in its light curve (linear in magnitude versus time).[43]

Type IInSome narrow lines

Type IIbSpectrum changes to become like Type Ib

From wikipedia

Page 9: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Formation of Type Ia SN

NASA, ESA and A. Feild (STScI)

Page 10: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Type Ia SN as a Standard Candle

from https://www.llnl.gov/

Page 11: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

X-ray Bursts

• Similar to nova except that the accreting star is now neutron star: high or low mass X-ray binaries

• Observations– Repeating with irregular periods– Type I: a sharp rise followed by a slow and gradual

decline of the luminosity profile – Type II: quick pulse shape, very rarely observed

Astronomische NederlandseSatelliet

Page 12: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Gamma-Ray Bursts

• Serendipitously discovered in 1960s

• Long vs Short Bursts

– Longer vs Shorter than ~2 seconds

– Soft vs Hard gamma-ray photons

– Stellar Explosion vs Merger

– Host Galaxies with High vs Low Star-Formation

• Evolution of very massive Pop III stars for long GRBs

Page 13: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Neutron Stars• Observed radius and mass of NS are used to constrain the

internal structure of NS through equation of state

from the website of Dr. Matthias Hempel, http://phys-merger.physik.unibas.ch/~hempel/

Page 14: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Lane-Emden Equation

Tolman–Oppenheimer–Volkoff (TOV) equation

Page 15: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Introduction to FLASH

• Developed as open source at Univ. of Chicago

(Fryxell et al. 2000, ApJS)

• Modular Package written in Fortran 90

– Multi-dimension Hydrodynamics including MHD and RHD

– Parallel Adaptive Mesh Refinement by using PARAMESH

– Various physical processes: radiative cooling due to line emission,

thermal diffusion, gravity, particle tracking, ionization of atoms etc.

– Can deal with nuclear burning with selected chain reactions

Page 16: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Hydrodynamicsmass, momentum and energy conservation including source terms

NewtonianSpecial Relativistic

Page 17: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Nuclear Burning Module in FLASH

mass fraction

molar abundance

mass conservation

continuity equation

reaction rates

Page 18: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Solve this equation by implicit method, i.e., linear solver (matrix conversion)

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Nuclear Reaction Networks

13 isotopes with

13 isotopes as above + (pp+CNO) +

19 isotope reaction network

Page 20: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Example: Carbon Detonations

Timmes et al. 2000, ApJS

t=0 s

pressure

Page 21: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two
Page 22: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Ran 1.5 hours with 32 processors on IBM machine to proceed to 1.6e-7 sec (1785 time steps)

Finest spatial resolution = 0.2 cm (128 cells along y-axis)

Page 23: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Introduction to MESA

Modules for Experiments in Stellar Astrophysics (MESA)- developed by Paxton et al. (2011, ApJS, 192, 3)

1D stellar evolution code written in Fortran 90 Modules include

- equation of state, opacities, and thermonuclear and weakreactions

- additional nuclear reaction networks including JINA Reaclib database (more than 4500 isotopes)

- mixing length theory of convection (to complement 1D model)

- atmosphere boundary conditions- diffusion and gravitational settling

Page 24: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Reaction Network

Page 25: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Samples

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Page 28: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Proposed Activities

• Any new measurements and calculations can be used as inputs to either stellar evolution or hydrodynamics code with nuclear burning in order to be tested with observations.

• Using updated (different) reaction rates (i.e., nuclear physics) may (maybe not yet) causes a lot of differences in the results that are obtained from computer models.

• Running multi-dimensional hydrodynamic simulations with tracking a large number of isotopes.

Page 29: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

X-ray Bursts

Using 1300 isotopes (Kepler)Woosley et al. 2004, ApJS

Page 30: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Reaction-Rate-Dependence?

JINA REACLIBCyburt et al. 2010, ApJS

Page 31: Introduction to Computational Nuclear Astrophysics with Two …ssanp.ssu.ac.kr/ws/dogye/ppt/kwak.pdf · 2012-08-27 · Introduction to Computational Nuclear Astrophysics with Two

Hardware available in Korea

• Korea Astronomy and Space Science Institute (KASI)– Currently, a linux cluster with 128 CPUs– ~1000 CPU linux cluster (with GPU supports for some nodes) with

this year• Korea Institute of Science and Technology Information (KISTI)

– TACHYONⅡ (SUN B6275): 25,408 CPUs (300 TFLOPS)– TACHYON (SUN B6048): 3,008 CPUs (24 TFLOPS)– GAIA (IBM p595): 640 CPUs (5,888 GFLOPS)– GAIA (IBM p6): 1,536 CPUs (30.7TFLOPS)