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Particle Deformation

Introduction

Numerical simulation of particle deformation in the fluid flow.

We will explore the deformation of fluid particle in some turblent flow, such as canal, pipe flow(rond, square, L), then analyse the statistic comportment of particle deformation in these situations.

Visualization

  • Two dimensional deformation

def2d

  • 3 dimensional deformation

def3d

Structure

  • case_2d: 2d fluid flow validation and simulation

  • case_3d: 3d fluid flow validation and simulation

  • common: implementations of the core function

    • fileIO
    • paraSolver
    • visualization: geometric simulation

  • example: some running results

  • exp: where we do experiments using functions implemented in common

    • exp_sing: study the deformation behavior of a single particle
    • exp_stat: statical analyses of particle deformation

Function

  • ParaSolver: solve deformation parameters of particle
  • StatSolver: statistical analyse
  • Visualization: geometric simulation

Usage

  • open the exp folder
  • enter the exp_sin folder for single particle tracer, enter the exp_stat folder for statistic experiment

TODO

  • Performance optimization

Reference

  • McKenzie D. Finite deformation during fluid flow[J]. Geophysical Journal International, 1979, 58(3): 689-715.
  • Fang L, Wang S L, Hong J Y. Analytical expressions of the deformation limit of fluid particles[J]. Physics Letters A, 2017, 381(48): 3996-4004.
  • Xu H, Pumir A, Bodenschatz E. The pirouette effect in turbulent flows[J]. Nature Physics, 2011, 7(9): 709-712.
  • Subramanian N, Kellogg L H, Turcotte D L. Statistics of Advective Stretching in Three-dimensional Incompressible Flows[J]. Journal of Statistical Physics, 2009, 136(5): 926-944.
  • Zhao L, Andersson H I. Why spheroids orient preferentially in near-wall turbulence[J]. Journal of Fluid Mechanics, 2016, 807: 221.