Solving the Boltzmann equation on GPUs

A. Frezzotti, G. P. Ghiroldi, L. Gibelli*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We show how to accelerate the direct solution of the Boltzmann equation using Graphics Processing Units (GPUs). In order to fully exploit the computational power of the GPU, we choose a method of solution which combines a finite difference discretization of the free-streaming term with a Monte Carlo evaluation of the collision integral. The efficiency of the code is demonstrated by solving the two-dimensional driven cavity flow. Computational results show that it is possible to cut down the computing time of the sequential code of two order of magnitude. This makes the proposed method of solution a viable alternative to particle simulations for studying unsteady low Mach number flows.

Original languageEnglish
Pages (from-to)2445-2453
Number of pages9
JournalComputer Physics Communications
Issue number12
Publication statusPublished - 1 Dec 2011


  • programming model
  • Boltzmann equation
  • Gas microflows
  • Graphics Processing Units
  • Parallel computing
  • Semi-regular methods


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