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Simulating time harmonic flows with the lattice Boltzmann method.

Lilit Axner1, Alfons G Hoekstra, Peter M A Sloot

  • 1Section Computational Science, Laboratory for Computing, System Architecture and Programming, Faculty of Science, University of Amsterdam, Kruislaan 403, Amsterdam 1098 SJ, The Netherlands. labraham@science.uva.nl

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 16, 2007
PubMed
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We developed a method to efficiently simulate time harmonic flows using the lattice Boltzmann method. This approach optimizes simulation parameters for speed while maintaining accuracy, demonstrated by blood flow analysis in the aorta.

Area of Science:

  • Computational fluid dynamics
  • Biomedical engineering
  • Numerical methods

Background:

  • Time harmonic flows are crucial in various scientific and engineering fields.
  • Accurate simulation of these flows requires careful parameter selection.
  • The lattice Boltzmann method offers a powerful tool for fluid dynamics simulations.

Purpose of the Study:

  • To propose a general scheme for selecting simulation parameters in lattice Boltzmann method simulations.
  • To minimize execution time under constraints of fixed Reynolds and Womersley numbers and specified simulation error.
  • To investigate the numerical stability of the method across a range of flow parameters.

Main Methods:

  • Lattice Boltzmann method for time harmonic flow simulation.

Related Experiment Videos

  • Development of a parameter selection scheme based on Reynolds and Womersley numbers.
  • Analysis of numerical stability and simulation error.
  • Application to blood flow simulation in a human abdominal aorta.

    • Main Results:

    • A general scheme for optimizing lattice Boltzmann method simulation parameters was successfully proposed.
    • Execution time was minimized while adhering to constraints on Reynolds and Womersley numbers and simulation error.
    • Numerical stability was confirmed over a range of tested parameters.
    • The method was effectively demonstrated through the simulation of blood flow in the aorta.

    Conclusions:

    • The proposed parameter selection scheme enhances the efficiency of lattice Boltzmann method simulations for time harmonic flows.
    • The method provides a robust and stable approach for analyzing complex physiological flows.
    • This work contributes to improved computational modeling in fluid dynamics and biomedical applications.