1 citations · 1 across the 1 of their papers we have counts for
4 papers
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 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…