An insect-inspired micropumping
      paradigm: theory and Stokeslets-meshfree computations
    Yasser
      Aboelkassem, Virginia Tech
    
    Abstract: 
    Inspired by microscale internal flow transport phenomena in insect
    tracheal networks and their rhythmic wall contractions. We present a
    novel bioinspired pumping paradigm that is neither peristaltic nor
    belongs to impedance mismatch class of pumping mechanisms. Both
    theoretical analysis and Stokeslets-meshfree computational methods
    are used to solve for the 2D and 3D viscous flow transport in
    several micro-geometries with prescribed moving wall contractions.
    
    This talk focuses more on the numerical side used in this study.
    More specically on the singularized Stokeslets-meshfree
    computational approach and on the possible regularization techniques
    that have been successfully used to solve their emerging
    ill-conditioned linear system of equations issue. We include the
    results of several experiments based on hybrid regularization
    projection-Krylov iterative methods such as GMRES method to solve
    the regularized linear system. The computational results conducted
    here are used to extend, strengthen and support our bioinspired
    pumping paradigm developed in this study.