Prof. Zhu's research program is in the area of applied computational mathematics with biological applications. He is 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 his 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 Prof. Zhu is working on 1) developing a 3D IB method using the lattice Boltzmann approach for turbulent biological flows with application; 2) modeling and simulation of blood flows in arteries with disease such as atherosclerosis.
Henry Y. Chen, James Hermiller, Anjan Sinha, Michael Sturek, Luoding Zhu, and Ghassan S. Kassab (2009),``Effects of Intravascular Stent Sizing on Endothelial and Vessel Wall Stress: Potential Mechanisms of In-stent Restenosis'', Journal of Applied Physiology 106(5), pp. 1686-91.
Luoding Zhu, Derek Tretheway, Linda Petzold and Carl Meinhart (2005), ``Simulation of fluid slip at hydrophobic microchannel walls by the lattice Boltzmann method'', J. Comput. Phys. 202(1), pp. 181-195.
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]