Memory aware poisson solver for peta-scale simulations with one FFT diagonalizable direction
Document typeConference report
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
ProjectDESARROLLO DE CODIGOS Y ALGORITMOS PARALELOS DE ALTAS PRESTACIONES PARA LA MEJORA DE LA EFICIENCIA EN LOS SECTORES EOLICO, SOLARTERMICO Y EDIFICACION (MINECO-ENE2014-60577-R)
Problems with some sort of divergence constraint are found in many disciplines: computational fluid dynamics, linear elasticity and electrostatics are examples thereof. Such a constraint leads to a Poisson equation which usually is one of the most computationally intensive parts of scientific simulation codes. In this work, we present a memory aware Poisson solver for problems with one Fourier diagonalizable direction. This diagonalization decomposes the original 3D system into a set of independent 2D subsystems. The proposed algorithm focuses on optimizing the memory allocations and transactions by taking into account redundancies on such 2D subsystems. Moreover, we also take advantage of the uniformity of the solver through the periodic direction for its vectorization. Additionally, our novel approach automatically optimizes the choice of the preconditioner used for the solution of each frequency subsystem and dynamically balances its parallel distribution. Altogether constitutes a highly efficient and robust HPC Poisson solver that has been successfully attested up to 16384 CPU-cores.
CitationOyarzun, G., Borrell, R., Trias, F. X., Oliva, A. Memory aware poisson solver for peta-scale simulations with one FFT diagonalizable direction. A: International Conference on High Performance Computing & Simulation. "HPCS 2017: 2017 International Conference on High Performance Computing & Simulation: proceedings: 17-21 July 2017: Genoa, Italy". Institute of Electrical and Electronics Engineers (IEEE), 2017, p. 101-108.