P3DFFT

P3DFFT: A framework for parallel computations of Fourier transforms in three dimensions. Fourier and related transforms are a family of algorithms widely employed in diverse areas of computational science, notoriously difficult to scale on high-performance parallel computers with a large number of processing elements (cores). This paper introduces a popular software package called P3DFFT which implements fast Fourier transforms (FFTs) in three dimensions in a highly efficient and scalable way. It overcomes a well-known scalability bottleneck of three-dimensional (3D) FFT implementations by using two-dimensional domain decomposition. Designed for portable performance, P3DFFT achieves excellent timings for a number of systems and problem sizes. On a Cray XT5 system P3DFFT attains 45% efficiency in weak scaling from 128 to 65,536 computational cores. Library features include Fourier and Chebyshev transforms, Fortran and C interfaces, in- and out-of-place transforms, uneven data grids, and single and double precision. P3DFFT is available as open source at http://code.google.com/p/p3dfft/. This paper discusses P3DFFT implementation and performance in a way that helps guide the user in making optimal choices for parameters of their runs.


References in zbMATH (referenced in 18 articles , 1 standard article )

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  1. Gauding, Michael; Wang, Lipo; Goebbert, Jens Henrik; Bode, Mathis; Danaila, Luminita; Varea, Emilien: On the self-similarity of line segments in decaying homogeneous isotropic turbulence (2019)
  2. Abide, Stéphane; Viazzo, Stéphane; Raspo, Isabelle; Randriamampianina, Anthony: Higher-order compact scheme for high-performance computing of stratified rotating flows (2018)
  3. Ashwin Vishnu Mohanan, Cyrille Bonamy, Pierre Augier: FluidFFT: common API (C++ and Python) for Fast Fourier Transform HPC libraries (2018) arXiv
  4. Springer, Paul; Bientinesi, Paolo: Design of a high-performance GEMM-like tensor-tensor multiplication (2018)
  5. Eckert, Kerstin; Köllner, Thomas; Schwarzenberger, Karin; Boeck, Thomas: Complex patterns and elementary structures of solutal Marangoni convection: experimental and numerical studies (2017)
  6. Li, Yingzhou; Yang, Haizhao: Interpolative butterfly factorization (2017)
  7. Munters, W.; Meyers, J.: An optimal control framework for dynamic induction control of wind farms and their interaction with the atmospheric boundary layer (2017)
  8. Paul Springer, Tong Su, Paolo Bientinesi: HPTT: A High-Performance Tensor Transposition C++ Library (2017) arXiv
  9. Springer, Paul; Hammond, Jeff R.; Bientinesi, Paolo: TTC: a high-performance compiler for tensor transpositions (2017)
  10. Engels, Thomas; Kolomenskiy, Dmitry; Schneider, Kai; Sesterhenn, Jörn: FluSI: a novel parallel simulation tool for flapping insect flight using a Fourier method with volume penalization (2016)
  11. Gholami, Amir; Malhotra, Dhairya; Sundar, Hari; Biros, George: FFT, FMM, or multigrid? A comparative study of state-of-the-art Poisson solvers for uniform and nonuniform grids in the unit cube (2016)
  12. He, Ping: A high order finite difference solver for massively parallel simulations of stably stratified turbulent channel flows (2016)
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  15. Delmotte, Blaise; Keaveny, Eric E.; Plouraboué, Franck; Climent, Eric: Large-scale simulation of steady and time-dependent active suspensions with the force-coupling method (2015)
  16. Pippig, Michael; Potts, Daniel: Parallel three-dimensional nonequispaced fast Fourier transforms and their application to particle simulation (2013)
  17. Pekurovsky, Dmitry: P3DFFT: A framework for parallel computations of Fourier transforms in three dimensions (2012)
  18. Schaefer, Philip; Gampert, Markus; Goebbert, Jens Henrik; Wang, Lipo; Peters, Norbert: Testing of model equations for the mean dissipation using Kolmogorov flows (2010)