35 citations · 115 across the 18 of their papers we have counts for
20 papers
Anchored Peskin Problem
Achyuta Telekicherla Kandalam, Daniel Spirn
The Immersed Boundary Method has long served as a robust computational framework for fluid-structure interactions, yet the rigorous analysis of 1D Peskin filaments anchored to rigi…
Tetrahedral frame fields via constrained third order symmetric tensors
Dmitry Golovaty, Matthias Kurzke, Jose Alberto Montero +1
Tetrahedral frame fields have applications to certain classes of nematic liquid crystals and frustrated media. We consider the problem of constructing a tetrahedral frame field in…
A single-layer based numerical method for the slender body boundary value problem
William H. Mitchell, Henry G. Bell, Yoichiro Mori +2
Fluid flows containing dilute or dense suspensions of thin fibers are widespread in biological and industrial processes. To describe the motion of a thin immersed fiber, or to desc…
A variational method for generating -cross fields using higher-order -tensors
Dmitry Golovaty, Jose Alberto Montero, Daniel Spirn
An -cross field is a locally-defined orthogonal coordinate system invariant with respect to the cubic symmetry group. Cross fields are finding wide-spread use in mesh generation…
Theoretical justification and error analysis for slender body theory with free ends
Yoichiro Mori, Laurel Ohm, Daniel Spirn
Slender body theory is a commonly used approximation in computational models of thin fibers in viscous fluids, especially in simulating the motion of cilia or flagella in swimming…
Theoretical justification and error analysis for slender body theory
Yoichiro Mori, Laurel Ohm, Daniel Spirn
Slender body theory facilitates computational simulations of thin fibers immersed in a viscous fluid by approximating each fiber using only the geometry of the fiber centerline cur…