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This talk provides an overview of the Flash code, its architecture, performance, and scaling. It also discusses the current and future development of the code with a focus on adaptive mesh refinement and physics modules. The Flash Code Group, led by Bruce Fryxell and Andrew Siegel, is responsible for the development, maintenance, and testing of the code.
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The Flash Code Bruce Fryxell Leader, Code Group Year 3 Site Review Argonne National Laboratory Oct. 30, 2000
Outline Talk 1 – Bruce Fryxell Overview of Flash Adaptive Mesh Refinement Performance and Scaling Year 3 Integrated Calculation Talk 2 – Paul Ricker Current production version of Flash Flash Code architecture Flash physics modules Code verification Talk 3 – Andrew Siegel Development version of Flash The future of Flash
The Flash Code Group Bruce Fryxell Group Leader Andrew Siegel Code Architect Development, Maintenance, Testing Architecture Team Physics Modules Calder, Linde, Mignone, Olson, Ricker, Timmes, Tufo, Weirs, Zingale Calder, Dursi, Olson, Ricker, Timmes, Tufo, Zingale Caceres, Ricker, Riley, Vladimirova, Young
Overview of Flash Driver Time Dependent Initialization Parallel I/O Steady Nuclear Burning Hydro EOS Gravity Diffusion Mesh
Year Three Upgrades • Evolution to object-oriented code architecture • P. Ricker, A. Siegel talks • PARAMESH • PARAMESH 1 • “SHMEM” emulation replaced by native MPI • Unnecessary barriers removed • PARAMESH 2 (K. Olson poster) • Elimination of permanent guard cell storage • Capability to advance solution at all refinement levels instead of just at leaf blocks • Adaptivity in time • Guard filling in one direction at a time • New and upgraded physics modules • P. Ricker talk, many posters
Other Accomplishments • Parallel I/O • HDF 5 • 10x improvement in I/O throughput • Documentation • Comprehensive user manual • http://flash.uchicago.edu/flashcode/doc • The physics and algorithms used in Flash • http://flash.uchicago.edu/flashcode/pubs • Code release • Friendly users – May 2000 • Astrophysics Community – Oct. 2000
Adaptive Mesh Refinement • Reduces time to solution and improves accuracy by concentrating grid points in regions which require high resolution • PARAMESH (NASA / GSFC) • Block structured refinement (8 x 8 x 8 blocks) • User-defined refinement criterion – currently using second derivatives of density and pressure
Flash / PARAMESH Block Guard Cells Interior Cells
PARAMESH Tree Structure • Each block contains nd zones in d dimensions • Blocks stored in 2d-tree data structure • Factor of 2 refinement per level • Blocks assigned indices via space-filling curve 10 12 18 Refinement Level 6 11 21 20 14 19 10 9 8 7 2 18 6 11 12 14 2 16 17 15 13 19 20 21 7 8 9 5 4 17 13 15 16 1 3 4 5 3 1
Load Balancing • Work weighted Morton space filling curve • Performance insensitive to choice of space filling curve • Refinement and redist-ribution of blocks every four time steps
Performance Optimization • Single processor tuning • Reduction in number of square roots and divides • Loop fusion to eliminate unneeded arrays • Elimination of scratch arrays • Removal of unnecessary array copies and initializations • Replacement of string comparisons by integer comparisons • Use of vendor-supplied math libraries • Modification of often-used routines to permit in-lining on ASCI Red • Result • 90 Mflop/son 250 MHz R10000 (64 bit)
Performance Optimization • Parallel optimization • Use of Jumpshot and to identify problem areas • Removal of unnecessary barriers • Packing of small messages in tree portion of code • Result • Good scaling to 1024+ processors • 238 Gflop/s on 6420 processors of ASCI Red for the year 3 integrated calculation • 2000 Gordon Bell prize finalist
Scaling • Constant work per processor scaling • Shock tube simulation • Two-dimensional • Hydrodynamics, Adaptive Mesh Refinement, gamma-law equation of state • Relatively high communication to computation cost
Scaling - Constant Work Per Processor Flash 1.6 – May 30, 2000
Scaling • Fixed problem size scaling • Cellular detonation • Three-dimensional • Uses most of the major physics modules in the code • Relatively low communication to computation cost
Summary of Scaling • As number of blocks per processor decreases, a larger fraction of the blocks must get their guard cell information from off processor • This causes deviation from ideal scaling when the number of blocks per processor drops too low • Of the three ASCI machines, this effect is most noticeable on Red, due to its relatively small memory per processor • Significant variation in timings on Nirvana between identical simulations
Summary of Scaling • Significant improvement in cross-box scaling on Nirvana can be achieved by tuning MPI environment variables • Scalability on Blue Pacific is highly dependent on operating system revisions • Parallel efficiency for memory bound jobs • > 90% on Blue Pacific and Red • > 75% on Nirvana • Typical performance – 10-15% of peak on 1024 processors
Integrated Calculation Cellular Detonation In A Type Ia Supernova See also: J. Truran talk F. Timmes poster Evening demos
Why a Cellular Detonation? • Two of our target astrophysics calculations (X-ray bursts and Type Ia Supernovae) involve detonations • We can not resolve the structure of the detonation front in a calculation which contains the entire star • Want to do a study of a small portion of the detonation front to see if a subgrid model is necessary to compute • The detonation speed • The nucleosynthesis • This problem exercises most of the major modules in the code and thus serves as a good test of the overall code performance
Integrated Calculation • 1000 processors on ASCI Blue Pacific • Effective grid size (if fully refined) • 256 x 256 x 5120 = 335 million grid points • Actual grid size • 6 million points at beginning of calculation • 45 million points at end of calculation • Savings from using AMR • 40-50x for first half of calculation • 7x at end of calculation • Total wall clock time ~ 70 hours
Integrated Calculation • Generated 1.2 Tbyte of data • Half of wall clock time required for I/O • 0.2 Tbyte transferred to ANL by network for visualization • Used GridFTP to transfer files • 7 parallel streams to 7 separate disks • Throughput ~ 4 Mbytes/s • Total transfer time < 1 day
105 6 level 105 5 level 105 0 2 4 6 8 10 12 Simulation Time (10-8 s) Integrated Calculation
Summary • Substantial progress made in Year 3 in improving and extending Flash • Flash is now being used to address many of our target astrophysics problems and is producing important scientific results • Flash achieves good performance on all three ASCI computers and scales to thousands of processors • Large 3D integrated calculation completed on ASCI Blue Pacific and data successfully transferred back to Chicago for analysis and visualization