Simulation of reaction–diffusion processes in three dimensions using CUDA

Ferenc Molnár Jr., F. Izsak, Róbert Mészáros, István Lagzi

    Research output: Contribution to journalArticleAcademicpeer-review

    21 Citations (Scopus)

    Abstract

    Numerical solution of reaction–diffusion equations in three dimensions is one of the most challenging applied mathematical problems. Since these simulations are very time consuming, any ideas and strategies aiming at the reduction of CPU time are important topics of research. A general and robust idea is the parallelization of source codes/programs. Recently, the technological development of graphics hardware created a possibility to use desktop video cards to solve numerically intensive problems. We present a powerful parallel computing framework for solving reaction–diffusion equations numerically using the Graphics Processing Units (GPUs) with CUDA. Four different reaction–diffusion problems, (i) diffusion of chemically inert compound, (ii) Turing pattern formation, (iii) phase separation in the wake of a moving diffusion front and (iv) air pollution dispersion were solved, and additionally both the Shared method and the Moving Tiles method were tested. Our results show that parallel implementation achieves typical acceleration values in the order of 5–40 times compared to CPU using a single-threaded implementation on a 2.8 GHz desktop computer.
    Original languageUndefined
    Pages (from-to)76-85
    Number of pages10
    JournalChemometrics and intelligent laboratory systems
    Volume108
    Issue number1
    DOIs
    Publication statusPublished - 2011

    Keywords

    • Pattern formation
    • EWI-21264
    • Reaction–diffusion
    • CUDA
    • Parallel computing
    • METIS-284999
    • IR-79472
    • Video card

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