**My Research **

**My research program is in the area of
applied computational mathematics with biological applications. I am interested
in numerical methods for and computer simulations of fundamental mechanical
and/or biological processes which involve incompressible viscous fluids and
elastic deformable boundaries. There are two major components of my research
program: development of numerical methods for
fluid-flexible-structure-interaction problems including extension/improvement of
the immersed boundary (IB) method, and applications of these methods to problems
in life science/ biomedical engineering.**

**Currently I am working on
1)A new 3D parallel IB method with application to hemodialysis;
2)Multiscale modeling and simulation of interstitial fluid flow over an osteocyte in bone matrix;
3)An extreme scale IB method with applications;
4)Modeling and simulation of cancer cell metastasis.
**

**Representative Publications**

**Luoding Zhu (2009), ``Interaction of two tandem
deformable bodies in a flowing viscous fluid'', J. Fluid Mech., In Press.**

**[low resolution]
[high resolution, 30+ MB] **

Luoding Zhu (2007), ``Viscous flow past an elastic fibre tethered at its center
point: vortex shedding'', J. Fluid Mech., 587, pp. 217-234.

**[low resolution] [high
resolution, 22+ MB]**

Luoding Zhu and Charles Peskin (2002), ``Simulation of a flexible flapping
filament in a flowing soap film by the immersed boundary method'', J. Comput.
Phys.179(2), pp. 452-468. [low resolution] [high
resolution, 3+ MB]

AVI Movies

**
1)An incompressible viscous flow past a flexible fiber
tethered at its midpoint: vortex shedding**

**
2)Intaction of two tandem flexible
filaments in a flowing viscous incompressible fluid**

**
3)Intaction of ten flexible fibers fixed on a rigid wall in a viscous
incompressible flow**

**
4)A 3D
viscous flow past a flexible sheet fixed at its midline **