• Corpus ID: 239998461

Fast Asymptotic-Numerical Method For Coarse Mesh Particle Simulation In Channels Of Arbitrary Cross Section

  title={Fast Asymptotic-Numerical Method For Coarse Mesh Particle Simulation In Channels Of Arbitrary Cross Section},
  author={Samuel Christensen and Raymond Chu and Christopher R. Anderson and Marcus L. Roper},
Particles traveling through inertial microfluidic devices migrate to focusing streamlines. We present a numerical method that calculates migration velocities of particles in inertial microfluidic channels of arbitrary cross section by representing particles by singularities. Refinements to asymptotic analysis are given that improve the regularity of the singularity approximation, making finite element approximations of flow and pressure fields more effective. Sample results demonstrate that the… 

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The Method of Regularized Stokeslets
  • R. Cortez
  • Computer Science, Mathematics
    SIAM J. Sci. Comput.
  • 2001
A numerical method for computing Stokes flows in the presence of immersed boundaries and obstacles based on the smoothing of the forces, leading to regularized Stokeslets, demonstrating the wide applicability of the method and its properties.