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Optimization of Condensed Matter Physics Application with OpenMP Tasking Model

Conference ·
The Density Matrix Renormalization Group (DMRG++) is a condensed matter physics application used to study superconductivity properties of materials. It’s main computations consist of calculating hamiltonian matrix which requires sparse matrix-vector multiplications. This paper presents task-based parallelization and optimization strategies of the Hamiltonian algorithm. The algorithm is implemented as a mini-application in C++ and parallelized with OpenMP. The optimization leverages tasking features, such as dependencies or priorities included in the OpenMP standard 4.5. The code refactoring targets performance as much as programmability. The optimized version achieves a speedup of 8.0× with 8 threads and 20.5× with 40 threads on a Power9 computing node while reducing the memory consumption to 90 MB with respect to the original code, by adding less than ten OpenMP directives.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
DOE Contract Number:
AC05-00OR22725
OSTI ID:
1564203
Country of Publication:
United States
Language:
English

References (7)

IBM Power9 Processor Architecture journal March 2017
The density matrix renormalization group for strongly correlated electron systems: A generic implementation journal September 2009
Implementation of the SU(2) Hamiltonian symmetry for the DMRG algorithm journal October 2012
Fluid-Structure Interaction Based on HPC Multicode Coupling journal January 2018
Runtime mechanisms to survive new HPC architectures: A use case in human respiratory simulations journal April 2019
On the usefulness of object tracking techniques in performance analysis
  • Llort, Germán; Servat, Harald; González, Juan
  • Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis on - SC '13 https://doi.org/10.1145/2503210.2503267
conference January 2013
Hints to improve automatic load balancing with LeWI for hybrid applications journal September 2014

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