English

A multi-level parallel solver for rarefied gas flows in porous media

Computational Physics 2017-12-05 v1 Fluid Dynamics

Abstract

A high-performance gas kinetic solver using multi-level parallelization is developed to enable pore-scale simulations of rarefied flows in porous media. The Boltzmann model equation is solved by the discrete velocity method with an iterative scheme. The multi-level MPI/OpenMP parallelization is implemented with the aim to efficiently utilise the computational resources to allow direct simulation of rarefied gas flows in porous media based on digital rock images for the first time. The multi-level parallel approach is analyzed in details confirming its better performance than the commonly-used MPI processing alone for an iterative scheme. With high communication efficiency and appropriate load balancing among CPU processes, parallel efficiency of 94% is achieved for 1536 cores in the 2D simulations, and 81% for 12288 cores in the 3D simulations. While decomposition in the spatial space does not affect the simulation results, one additional benefit of this approach is that the number of subdomains can be kept minimal to avoid deterioration of the convergence rate of the iteration process. This multi-level parallel approach can be readily extended to solve other Boltzmann model equations.

Keywords

Cite

@article{arxiv.1712.01132,
  title  = {A multi-level parallel solver for rarefied gas flows in porous media},
  author = {Minh Tuan Ho and Lianhua Zhu and Lei Wu and Peng Wang and Zhaoli Guo and Zhi-Hui Li and Yonghao Zhang},
  journal= {arXiv preprint arXiv:1712.01132},
  year   = {2017}
}

Comments

23 pages, 9 figures; Submitted to Computer Physics Communication; Uploaded to ResearchGate

R2 v1 2026-06-22T23:05:56.522Z