A single-layer based numerical method for the slender body boundary value problem

Fluid flows containing dilute or dense suspensions of thin fibers are widespread in biological and industrial processes. To describe the motion a immersed fiber, to forces acting on it, it is convenient work with one-dimensional fiber centerlines force densities rather than two-dimensional surfaces surface tractions. Slender body theories offer ways model simulate using only data. However, standard formulations can break down when comes close intersecting itself other fibers. In this paper we introduce numerical method for recently derived three-dimensional slender boundary value problem that be stated entirely terms distribution centerline. The based new completed single-layer potential formulation fluid velocity which removes nullspace associated unmodified single layer potential. We discretize present results demonstrating good conditioning improved performance presence near-intersections. avoid modeling choices involved free ends, consider closed