Jian Hao, PhD
Research Associate
Department of Mathematics and
Center for Research in Scientific Computation
North Carolina State University
Raleigh, NC 27695
Office: SAS 3110
Office phone: (919) 513-2302
email: jnhao@ncsu.edu
Office hours: 1-2pm M W, and by appointment
Class: 4:35-6:25pm Tu Th.
Teaching
Math 131-005 Calculus A, Fall 2011
Math 241-010 Calculus II, Fall 2010
Education
PhD in Mathematics, University of Houston;
Co-advisors: Professors Roland Glowinski and
Tsorng-Whay Pan
Research Interests
Numerical analysis, scientific computing,
and applied mathematics
Current Research
Immersed interface methods and applications,
working with Professors
Zhilin Li and
Sharon Lubkin
Recent Publications
- J. Hao, L. Zhu,
A lattice Boltzmann based implicit immersed boundary method in three dimensions,
Submitted.
- J. Hao, Z. Li, S. R. Lubkin,
An augmented immersed interface method for moving structures with mass,
Discrete and Continuous Dynamical Systems - Series B, 17(4), 2012, 1175-1184.
- J. Hao, L. Zhu,
A three dimensional immersed boundary method with application,
Theoretical and Applied Mechanics Letters, 1(6), 2011, 062002(1-4).
- T.W. Pan, J. Hao and R. Glowinski,
Positive definiteness preserving approaches for viscoelastic flow
of Oldroyd-B fluids: Applications to a lid-driven cavity flow and particulate flow,
in Handbook of Numerical Analysis XVI: Numerical Methods for Non-Newtonian Fluids,
Editors: P.G. Ciarlet, R. Glowinski, J. Xu, Elsevier, North Holland, 2011, 433-481. (Book Chapter)
- J. Hao, L. Zhu, A lattice Boltzmann based implicit immersed boundary method for
fluid-structure interaction, Computers and Mathematics with Applications, 59(1), 2010, 185-193.
- J. Hao, T.W. Pan, S. Canic, R. Glowinski, D. Rosenstrauch. A Fluid-Cell Interaction and Adhesion Algorithm for Tissue-Coating of Cardiovascular Implants, SIAM Journal:
Multiscale Modeling and Simulation, 7(4), 2009, 1669-1694.
- T.W. Pan, J. Hao, R. Glowinski, On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid,
International Journal for Numerical Methods in Fluids, 60(7), 2009, 791-808.
- J. Hao, T.W. Pan, R. Glowinski and D.D. Joseph,
A fictitious domain/distributed Lagrange multiplier method for the particulate flow of Oldroyd-B fluids: A positive definiteness preserving approach,
Journal of Non-Newtonian Fluid Mechanics,
156(1-2), 2009, 95-111.
- J. Hao, T.W. Pan, and D. Rosenstrauch,
Modelling and simulating the
adhesion and detachment of chondrocytes in shear flow, in
Partial Differential Equations:
Modeling and Numerical Simulation, R. Glowinski and P. Neittaanmak editors,
Springer, Netherlands, 2008, 209-223.
- T.W. Pan and J. Hao, Numerical simulation of a lid-driven cavity viscoelastic
flow at high Weissenberg numbers,
C.R. Acad. Sci. Paris, Ser.I, 344(4), 2007,
283-286.
- J. Hao and T.W. Pan, Simulation for high Weissenberg number: Viscoelastic flow
by a finite element method, Applied Mathematics Letters, 20(9), 2007, 988-993.
- R. Glowinski, J. Hao and T.W. Pan, A distributed Lagrange multipliers based
fictitious domain method for the numerical simulation of particulate flow and
its parallel implementation, in Parallel Computational Fluid Dynamics: Theory
and Applications, A. Deane et. al. editors, Elsevier, 2006, 11-20.