Ruhai Zhou

Publications

Recent Journal Publications

(with J. Lee, M.G. Forest, Q. Wang) Dipole-induced, first-order phase transitions of nano-rod monolayers, Phys. Lett. A, Vol. 372 (19), 3484-3487, 2008.
(with X. Zheng, M.G. Forest, R.A. Vaia, M. Arlen) A Strategy for Dimensional Percolation in Sheared Nanorod Dispersions, Advanced Mat., Vol. 19 (22), 4038-4043, 2007.
(With M.G. Forest, Q. Wang) Microscopic-macroscopic simulations of rigid-rod polymer hydrodynamics: Heterogeneity and rheochaos, SIAM Multiscale Model. Simul., Vol. 6(3), 858-878, 2007.
(With M.G. Forest, Q. Wang) Nano-rod suspension flows: A 2D Smoluchowski-Navier-Stokes Solver, International J. Numer. anal. Modeling, Vol. 4(3-4), 478-488, 2007.
(with M.G. Forest, Q. Wang) Monodomain dynamics for rigid rod & platelet suspensions in strongly coupled coplanar linear flow and magnetic fields, J. Rheol., Vol. 51(1), 1-21, 2007.
(with X. Zheng, M.G. Forest, R. Lipton) Nematic polymer mechanics: flow-induced anisotropy Continuum Mechanics and Thermodynamics, Vol. 18, 377-394, 2007.
(with M.G. Forest, S. Sircar, Q. Wang) Monodomain dynamics for rigid rod & platelet suspensions in strongly coupled coplanar linear flow and magnetic fields II : kinetic theory, Phys. of Fluids, Vol. 18(10), 103102(1-14), 2006.
(With T. Hagstrom) On the spectral deferred correction of splitting methods for initial value problems, Comm. App. Math. and Comp. Sci., Vol.1, 169-205, 2006.
(With J. Lee, M.G. Forest) Alignment and rheo-oscillator criteria for sheared nematic polymer films in the monolayer limit, Discrete and Continuous Dynamical Systems Ser.B, Vol. 6, 339-356, 2006.
(With M.G. Forest, X. Zheng, Q. Wang, R. Lipton) Anisotropy and dynamic ranges in effective properties of sheared nematic polymer nano-composites, Adv. Func. Mat., Vol. 15, 2029-2035, 2005. (The journal cover related to this paper is available in PDF file).
(With M.G. Forest, Q. Wang) Kinetic structure simulations of nematic polymers in plane Couette cells, II: In-plane structure transitions, SIAM Multiscale Model. Simul., Vol.4 (4), 1280-1304, 2005
(With M.G. Forest, X. Zheng, Q. Wang, R. Lipton) Anisotropy and heterogeneity of nematic polymer nano-composite film properties, IMA Volume 141, Modeling of Soft Matter, 85-98, 2005.
(With M.G. Forest, Q. Wang) Kinetic structure simulations of nematic polymers in plane Couette cells, I: The algorithm and benchmarks, SIAM Multiscale Model. Simul., Vol. 3 (4), 853-870, 2005.
(With X.Y. Zheng, M.G. Forest, R. Lipton, Q. Wang) Exact scaling laws for electrical conductivity properties of nematic polymer nano-composite monodomains, Adv. Func. Mat., Vol. 15 (4), 627-638, 2005.
(With X.Y. Zheng, M.G. Forest, Q. Wang) Likelihood & Expected-time Statistica of Monodomain Attractors in Sheared Discotic and Rod-like Nematic Polymers, Rheol. Acta, Vol. 44 (3), 219-234, 2005
(With M.G. Forest, Q. Wang) The flow-phase diagram of Doi-Hess theory for sheared nematic polymers II: finite shear rates, Rheol. Acta, Vol. 44 (1), 80-93, 2004
(With M.G. Forest, Q. Wang) Chaotic boundaries of nematic polymers in mixed shear and extensional flows , Phys. Rev. Lett., Vol.93 (8), 088301, 2004
(With G. Forest, Q. Wang, H. Zhou) Structure scaling properties of confined nematic polymers in plane Couette cells: the weak flow limit, J. Rheol., Vol. 48 (1), 175-192, 2004
(With M.G. Forest, Q. Wang) A kinetic theory for solutions of nonhomogeneous nematic liquid crystalline polymers with density variations, J. Fluid Eng. Vol. 126(2), 180-188, 2004.
(With M.G. Forest, Q. Wang, E. Choate) Monodomain response of arbitrary aspect ratio nematic polymers in general linear planar flows, JNNFM, Vol. 118(1), 17-31, 2004.
(With M.G. Forest, Q. Wang) Scaling behavior of kinetic orientational distributions for dilute nematic polymers in weak shear, JNNFM, Vol. 116 (2-3), 183-204, 2004.
(With M.G. Forest, Q. Wang) The weak shear phase diagram for nematic polymers, Rheol. Acta, Vol. 43(1), 17-37, 2004.
(With M.G. Forest, Q. Wang) Full-tensor alignment criteria for sheared nematic polymers, Journal of Rheology, Vol. 47 (1), 105-127, 2003.
(With M.G. Forest, Q. Wang) Symmetries of the Doi kinetic theory for nematic polymers of arbitary aspect ratio: at rest and in linear flows, Physics Review E, Vol. 66 (3), 031712, 2002.

Conference Papers/Proceedings/Reports

(With M.G. Forest, X. Zheng) "Nano-rod and nano-platelet composite films generated in confined planar Couette cells: complexity of flows, orientational distributions, and effective mechnical moduli", Proceedings of the ACS Division of Polymeric Materials: Science & Engineering, Vol. 94, Spring 2006.

(With M.G. Forest, Q. Wang) A hydrodynamics theory for solutions of nonhomogeneous nematic liquid crystalline polymers with density variations, referred Proceedings of International Mechanical Engineering Congress and Exposition, IMECE2002-32189, 2002.

(With M.G. Forest, Q. Wang) Explicit flow-aligned orientational distribution functions for dilute nematic polymers in weak shear, referred Proceedings of International Mechanical Engineering Congress and Exposition, IMECE2002-32185, 2002.

(with M.Pattichis, B. Raman) New algorithms for computing directional discrete Fourier transforms. Proceedings of International Conference on Image Processing, 322-325, 2001.

(With M.Pattichis) A novel directional approach for the scalable, accurate and efficient computation of two dimensional Discrete Fourier Transforms. Technical Report, AHPCC2000-019. Albuquerque High Performance Computing Center, 2000

(With T.Hagstrom, Radhakrishnan, & Steinberg) Simulation of unsteady combustion phenomena using complex models. 35th AIAA/ASME/SAE/ASEE Joint propulsion conference, 1999

(With T.Hagstrom & Radhakrishnan) Computation of steady and unsteady laminar flames: theory. 34th AIAA/ASME/SAE/ASEE Joint propulsion conference, 1998. Also: NASA Glenn Research Center report, NASA/CR--1999-209305, ICOMP-99-07.

Chinese journal publications

A modified Gauss-Seidel iteration for interval linear equations. Numer. Math. J. Chinese Univ. (English series). V.2, no.2, 225-233, 1993.

(With Shen Zuhe) An improvement of interval Moore test. Numer. Math. J. Chinese Univ., V.14, no.3, 205-213, 1992.

Multisplitting method for solving interval linear equations. In: The Third Symposium of China on Parallel Computations (1991, Wuhan). 132-135, Central China Univ. of Sci. & Tech. Press, 1992.

The convergence of interval AOR method. Numer. Math. Sinica, V.14, no.1, 49-52, 1992.

(With Shen Zuhe) A class of iterative operators for solving nonlinear systems. Numer. Math. J. Chinese Univ., V.13, no.4, 378-381, 1991.

Interval tests for solutions of nonlinear systems of equations. Math. Biquarterly J. Nanjing Univ., V.7, no.1, 67-74, 1990.

(With Liu Yunhua, Ding Lianzhen) An interval method for searching global maximum. J. Hehai Univ., V.17, no.5, 9-14, 1989.