26 citations · 71 across the 6 of their papers we have counts for
6 papers
A fast, high-order scheme for evaluating volume potentials on complex 2D geometries via area-to-line integral conversion and domain mappings
Thomas G. Anderson, Hai Zhu, Shravan Veerapaneni
This article presents a new high-order accurate algorithm for finding a particular solution to a linear, constant-coefficient partial differential equation (PDE) by means of a conv…
High-order close evaluation of Laplace layer potentials: A differential geometric approach
Hai Zhu, Shravan Veerapaneni
This paper presents a new approach for solving the close evaluation problem in three dimensions, commonly encountered while solving linear elliptic partial differential equations v…
Optimal Ciliary Locomotion of Axisymmetric Microswimmers
Hanliang Guo, Hai Zhu, Ruowen Liu +2
Many biological microswimmers locomote by periodically beating the densely-packed cilia on their cell surface in a wave-like fashion. While the swimming mechanisms of ciliated micr…
Optimal slip velocities of micro-swimmers with arbitrary axisymmetric shapes
Hanliang Guo, Hai Zhu, Ruowen Liu +2
This article presents a computational approach for determining the optimal slip velocities on any given shape of an axisymmetric micro-swimmer suspended in a viscous fluid. The obj…
Simulating cilia-driven mixing and transport in complex geometries
Hanliang Guo, Hai Zhu, Shravan Veerapaneni
Cilia and flagella are self-actuated microtubule-based structures that are present on many cell surfaces, ranging from the outer surface of single-cell organisms to the internal ep…
Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme
Bowei Wu, Hai Zhu, Alex Barnett +1
We present a fast, high-order accurate and adaptive boundary integral scheme for solving the Stokes equations in complex---possibly nonsmooth---geometries in two dimensions. The ke…