Computational Physics Computerphysik
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1 Computational Physics Computerphysik Rainer Spurzem, Astronomisches Rechen-Institut Zentrum für Astronomie, Universität Heidelberg Ralf Klessen, Institut f. Theoretische Astrophysik, Zentrum für Astronomie, Universität Heidelberg
2 Chinese President Xi Jinping welcomes Foreign Experts Pictures from: National Astronomical Observatory of Chinese Academy of Sciences, Beijing China Kavli Institute for Astronomy and Astrophysics, Peking University, Beijing, China Fesenkov Astrophysical Institute, Space Institute, Almaty, Kazakhstan Main Astronomical Observatory of Ukrainian Academy of Sciences, Kiev, Ukraine Astronomisches Rechen-Institut,Zentrum f. Astronomie (ZAH) and Computer Engineering and Architecture (ZITI), Univ. Of Heidelberg, Germany Max-Planck Institute for Astrophysics (MPA), Garching/Munich, Germany
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4 Slide: Horst Simon, Exascale Computing
5 Slide: Horst Simon, Exascale Computing
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7 Why Computational Physics? Our view at this lecture... Differential Equations (ODE/PDE) no analytical solution! Relation to nonlinear dynamcs, theory of chaos Ordinary differential equations (ODE) initial value problems particle simulations Plasma physics, molekular dynamics, stellar dynamics Ordinary differential equations (ODE) boundary values problems quantum mechanics (time-indep.), statistical mechanics, stationary states Partial differential equations (PDE) initial and boundary value problems mesh based or finite elements fluid dynamics, numerical relativity, quantum mechanics (time-dep.) Monte Carlo methods use of (pseudo) random numbers numerical integration, stellar dynamics, particle physics (many dims.) Computational mathematics ``exact'' mathematical computations Mathematica, Maple, MatLab,
8 HARDWARE...before von Neumann... Konrad Zuse ( ) Berlin Invented freely programmable Computer Z1 in parental flat 1936 Comp. Physics Univ. Heidelberg
9 HARDWARE Zuse Z4: 1944 Berlin, 1950 Zürich, 1954 Frankreich 1959 Deutsches Museum München Computing Speed 0.03 MHz Memory 256 byte
10 HARDWARE John von Neumann ( ) Born Budapest, Lecturer Berlin, since 1930 Princeton Univ. Requirements for the Construction of an electronic computing device(1946)
11 Astronomisches Rechen-Institut (ARI) at Univ. of Heidelberg, Germany Siemens 2002 Computer in 1964 At ARI Comp. Physics Univ. Heidelberg
12 HARDWARE ``The father of supercomputing Seymour Cray ( ) CRAY1: Vectorregisters (1976) 160 Mflop, 80 MHz, 8 MByte RAM CRAY2: (1984) 1Gflop, 120MHz, 2GByte RAM
13 HARDWARE Supercomputer JUGENE IBM Blue Gene Jülich Supercomputing Centre (JSC) 223 Tflop/s...Petaflop/s : Exaflop/s System (...Trillion...) Opening with J. Rüttgers June 2008
14 Computation a Exaflop/s?...after von Neumann... l S c i e n c e... Petaflop/s Teraflop/s Gigaflop/s Problems: Power Consumption Efficiency for Real Applications Thanks to Horst Simon, LBNL/NERSC for this diagram.
15 Hardware NVIDIA Tesla C1060 : 1.3 GHz *240 processors * 3 flopclock = 930 Gflops
16 Beijing, China
17 Heidelberg
18 Nr. 1 Supercomputer from China: 33 Pflop/s Linpack Intel Xeon 12 core, Intel Phi Accelerators 57 Core
19 Top 10 List November 2010 From - list of fastest supercomputers in the world last year Nov. 2010: GPU GPU GPU FR
20 Top 10 List June 2014 Xeonϕ GPU Xeonϕ Comp. Physics Univ. Heidelberg
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22 Computer Physics - Astrophysics Cosmology
23 Computer Physics Astrophysics Structure Formation in the Universe In the year Wilkinson Microwave Anisotropy Probe (WMAP) (Cosmic Microwave Background)...and ``today
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26 Computer Physics - Astrophysics Black Holes in Galaxies
27 Simulations with stars and dark matter Khan, Berczik, Spurzem,
28 PostNewtonian Dynamics Gravitational Wave Templates Handle spin-orbit and spin-spin coupling (P.Brem, R. Spurzem, Univ. Heidelberg)
29 Example: VIRGO Detector in Cascina near Pisa, Italy
30 VIRGO Pisa 3km LIGO Livingston, LA Hanford, WA 1km GEO600 Hannover 600m AIGO Australien (planned, 5 km) Outreach to 50 Millionen light years (Neutron Stars)
31 Computer Physics - Astrophysics Nonlinear Dynamics and Chaos
32 3-Body Problems Burrau s Problem The Eight
33 Lorenz-Attraktor
34 Logistische Abbildung
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