My Research

My research program is in the area of applied computational mathematics with applications to science and engineering. I am interested in numerical methods for and computer simulations of fundamental mechanical and/or biological processes which involve incompressible viscous fluids (Newtonian or non-Newtonian) and elastic deformable solids/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) framework, and applications of the newly developped methods to problems in life science and engineering.

Currently I am working on 1)Multiscale modeling and simulation of interstitial fluid flow over osteocyte in loaded bone; 2)Modeling and simulation of blood flow with application to hemodialysis.

 

All of My Referred Publications Can Be Found Here


Representative Publications Are as Follows

 

L Zhu, J Barber, R Zigon, S Na, and H Yokota (2022). ``Modeling and simulation of interstitial fluid flow around an osteocyte in a lacuno-canalicular network”, Physics of Fluids 34(4), 041906'' (see media reort here https://aip.scitation.org/doi/10.1063/10.0010295)


 

Z Bai and L Zhu (2019). ``Simulation of blood flow past a distal arteriovenous-graft anastomosis at low Reynolds numbers”, Physics of Fluids 31(9), 091902.'' (See media report on ScienceDaily.com – https://www.sciencedaily.com /releases/2019/09/190927115630.htm)


 

Z Bai and L Zhu (2019). ``3D Simulation of a Viscous Flow past a Compliant Model of Arteriovenous-Graft Anastomosis '', Computers & Fluids 181, pp. 403-415.


 

R Zigon, L Zhu, and F Song (2018), “Interactive 3D simulation for fluid-structure-interaction using two GPUs”, The Journal of Supercomputing, pp. 1-28 (2017).


 

Luoding Zhu, Xijun Yu, Nansheng Liu, Yongguang Cheng, and Xiyun Lu (2017),`` A deformable plate interacting with a non-Newtonian fluid in three dimensions '', Physics of Fluids 29, 083101; doi: 10.1063/1.4996040.


 

R Hua, L Zhu, and X Lu (2014). ``Dynamics of fluid flow past a circular plate in three dimensions''. Journal of Fluid Mechanics 759, pp.56-72.


 

L Zhu, G He, S Wang, L Miller, X Zhang, Q You, and S Fang (2011). ``An immersed boundary method by the lattice Boltzmann approach in three dimensions with application''. Computers & Mathematics with Applications 61, pp.3506-3518.


Luoding Zhu (2009), ``Interaction of two tandem deformable bodies in a flowing viscous fluid'', J. Fluid Mech. 635, 455-475.

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

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 (2008), ``Scaling laws for drag of a compliant body moving in an incompressible viscous fluid'', J. Fluid Mech. 607, pp. 387-400.


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, 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]
 

Referred Publications Since 2010

 

[43] L Zhu and K Sakai, “Modeling and simulation of blood flow past an arteriovenous-graft anastomosis with intimal hyperplasia, Physics of Fluids 33, 051905 (2021).


 

[42] R Chen, S Zhou, L Zhu, L Zhu, W Yan, and H Yu (2021). “A new criterion of coalescence induced microbubble detachment in three dimensional microfluidic channel”, Physics of Fluids33, 043320 (2021).


 

[41] Z Bai and L Zhu (2019). “Simulation of blood flow past a distal arteriovenous-graft anastomosis at low Reynolds numbers”, Physics of Fluids 31(9), 091902. (See media report on ScienceDaily.com – https://www.sciencedaily.com /releases/2019/09/190927115630.htm)


 

[40] L Zhu (2019). “An IB method for non-Newtonian-fluid-flexible-structure interaction in three dimensions”, Computer Modeling in Engineering and Sciences 119, no. 1, pp. 125-143, 2019.


 

[39] Z Bai and L Zhu (2019). “3D Simulation of a Viscous Flow past a Compliant Model of Arteriovenous-Graft Anastomosis”, Computers & Fluids 181, pp. 403-415, 2019.


 

[38] J Barber and L Zhu (2019). “Two-dimensional finite element model of breast cancer cell motion through a microfluidic channel”, Bulletin of Mathematical Biology, 81 (4), pp. 1238-1259, 2019.


 

[37] R Chen, H Yu, Y Xu, and L Zhu (2019). “Scalings of inverse energy transfer and energy decay in 3-D decaying isotropic turbulence with non-rotating or rotating frame of reference”. Journal of Applied and Computational Mechanics 5(4), 639-646, 2019.


 

[36] Y Fu, F Li, F Song, L Zhu (2019). “Designing a parallel memory-aware lattice Boltzmann algorithm on manycore systems”, In 2018 30th International Symposium on Computer Architecture and High Performance Computing (SBAC-PAD), pp. 97-106. IEEE, 2018. (Acceptance rate 27%.)


 

[35] L Zhu (2018).“A three-dimensional immersed boundary method for non-Newtonian fluids”. Theoretical & Applied Mechanics Letters, 8(3), 193-196 (2018)


 

[34] L Zhu, X Yu, N Liu, Y Cheng, X Lu (2019), “Drag reduction and scaling of a deformable sheet in non-Newtonian fluid flow". Physics of Fluids 29, 083101 (2017); doi: 10.1063/1.4996040.


 

[33] R Zigon, L Zhu, and F Song (2018), “Interactive 3D simulation for fluid-structure-interaction using two GPUs”, The Journal of Supercomputing, pp. 1-28 (2017).


 

[32] Y Fu, F Song, and L Zhu (2016), “Modeling and Implementation of an Asynchronous Approach to Integrating HPC and Big Data Analysis”, The 16th International Conference on Computational Science, San Diego, CA, June 2016.


 

[31] C Zhang, Y Cheng, L Zhu, and J Wu (2016), “Accuracy improvement of the immersed boundary- lattice Boltzmann coupling scheme by iterative force correction”. Computers & Fluids, 124 (1), p.246-260.


 

[30] C Tang, L Zhu, G Akingba, and X Lu (2015). “Viscous flow past a collapsible channel as a model for self-excited oscillation of blood vessels”, Journal of Biomechanics 48 (10), p.1922-1929, July 2015.


 

[29] P Nagar, F Song, L Zhu, L Lin, ”LBM-IB: A Parallel Library to Solve 3D Fluid-Structure Inter- action Problems on Manycore Systems”, in it The 44th International Conference on Parallel Processing (ICPP), Beijing, China, September 2015. (acceptance rate 32%)


 

[28] R Hua, L Zhu, and X Lu (2014), “Dynamics of fluid flow past a circular plate in three dimensions”, Journal of Fluid Mechanics 759, p.56-72.


 

[27] R Hua, L Zhu, X Lu (2014), “Numerical investigation of the dynamics of a flexible filament in the wake of cylinder”, Advances in Applied Mathematics and Mechanics 6 (4), p.478-493.


 

[26] YG Cheng, L Zhu, and C Zhang (2014), “Stability and accuracy of the coupling scheme of the immersed boundary method and the lattice Boltzmann BGK model”, Communications in Computational Physics 16(1), p.136-168, 2014.


 

[25] R Hua, L Zhu and X Lu (2013), “Locomotion of a flapping flexible plate”, Phys. Fluids 25(12), Article No. 121901.


 

[24] H Yu, R Chen, H Wang, Z Yuan, Y Zhao, Y An, Y Xu, and L Zhu (2013), “GPU accelerated lattice Boltzmann simulation for rotational turbulence”, Computers & Mathematics with Applications 67 (2), pp.445-451.


 

[23] FB Tian, L Zhu, P Fok, and X Lu (2013), “Simulation of a pulsatile non-Newtonian flow past a stenosed 2D artery with atherosclerosis”, Computers in Biology and Medicine 43, 1098-1113.


 

[22] L Miller, A Santhanakrishnan, S Jones, C Hamlet, K Mertens, and L Zhu (2012), ”Reconfiguration and reduction of vortex induced vibrations in broad leave”, Journal of Experimental Biology 215(15), 2716-2727.


 

[21] G Li, L Zhu, and X Lu (2012), “Numerical studies on locomotion performance of fishlike tail fins”, Journal of Hydrodynamics 24 (4), 488-495.


 

[20] FB Tian, H Luo, L Zhu, X Lu (2011), “Coupling modes of three filaments in side- by-side ar- rangement”, Physics of Fluids 23 (11), 111903 (2011).


 

[19] J Hao and L Zhu (2011), “A 3D implicit immersed boundary method with application”, Theoretical and Applied Mechanics Letter 1 (6), 062002 (4 pages) (2011).


 

[18] S Wang, L Zhu, X Zhang, and G He (2011), “Flow past two freely rotatable triangular cylinders in tandem arrangement”, Journal of Fluids Engineering 133 (8), 081202 (12 pages) (2011).


 

[17] FB Tian, H Luo, L Zhu, X Lu, JC Liao (2011), “An efficient immersed boundary- lattice Boltzmann method for the hydrodynamic interaction of elastic filaments”, Journal of Computational Physics 230 (19), p.7266-7283 (2011).


 

[16] L Zhu, G He, S Wang, L Miller, X Zhang, Q You and S Fang (2011), “An immersed boundary method by the lattice Boltzmann approach in three dimensions with application”, Computers and Mathematics with Applications 61, p.3506-3518.


 

[15] FB Tian, H Luo, L Zhu, and X Lu (2010), “Interaction between a flexible filament and a downstream rigid body”, Physical Review E, 82 (2), Article Number: 026301 (2010).



My PhD thesis

 

AVI Movies From Research

 

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