R. G. Owens and T. N. Phillips. Computational Rheology,
A. Lozinski,
R. G. Owens and T. N. Phillips, The Langevin and Fokker-Planck Equations in
Polymer Rheology, in Philippe Ciarlet, Roland Glowinski and J. Xu (eds.) Numerical
Methods for Non-Newtonian Fluids, Handbook
of Numerical Analysis XVI, pp. 211-303, Elsevier
North-Holland, 2011. (ISBN 978-0-444-53047-9)
A. Robertson, A. Séqueira and R. G. Owens, Chapter 6: Rheological Models for
Blood, in L. Formaggia et al. (eds.), Cardiovascular
Mathematics. Modeling and simulation of the circulation system, pp.
211-241, Springer-Verlag, 2009. (ISBN 978-88-470-1151-9)
R. K. Noutcheuwa and R. G. Owens, A new incompressible smoothed particle
hydrodynamics-immersed boundary method, Int.
J. Numer. Anal. Mod. B (2012), to appear.
R. K. Noutcheuwa and R. G. Owens, A mixed
Brownian dynamics - SPH method for the simulation of flows of suspensions of
bead-spring chains in confined geometries with hydrodynamic interaction. J.
Non-Newtonian Fluid Mech., 166 (2011) 1327-1346.
A. Lozinski
and R. G. Owens, Some remarks on the equivalence of
A. Iolov, Y. Bourgault, A. S. Kane, R. G. Owens and A. Fortin, A finite element method for a microstructure-based model of blood. Int. J. Numer. Meth. Biomed. Engrg., 27 (2011) 1321-1349. M. A. Moyers-Gonzalez and R. G.
Owens, Mathematical modelling of the cell-depleted peripheral layer in the
steady flow of blood in a tube. Biorheology 47 (2010) 39-71.
P. Degond, A. Lozinski and R. G.
Owens, Kinetic models for dilute solutions of dumbbells in non-homogeneous
flows revisited. J. Non-Newtonian Fluid Mech., 165 (2010)
509-518.
M. A. Moyers-Gonzalez, R. G. Owens
and J. Fang, On the high frequency oscillatory tube flow of healthy human
blood. J. Non-Newtonian Fluid Mech., 163 (2009) 45-61.
M. A. Moyers-Gonzalez, R. G. Owens
and J. Fang, A non-homogeneous constitutive model for human blood. Part III:
Oscillatory flow. J. Non-Newtonian Fluid Mech., 155 (2008) 161-173.
M. A. Moyers-Gonzalez and R. G. Owens, A non-homogeneous constitutive model for
human blood. Part II: Asymptotic solution for large Péclet numbers. J.
Non-Newtonian Fluid Mech., 155 (2008) 146-160.
M. A. Moyers-Gonzalez, R. G. Owens and J. Fang, A non-homogeneous constitutive
model for human blood. Part I: Model derivation and steady flow. J. Fluid
Mech., 617 (2008) 327-354.
É. Brunelle, R. G. Owens and H. J. van Roessel, Gelation time in the discrete
coagulation-fragmentation equations with a bilinear coagulation kernel, J.
Phys. A: Math. Theor., 40 (2007) 11749-11764.
R. G. Owens, A new microstructure-based constitutive model for human blood. J.
Non-Newtonian Fluid Mech., 140 (2006) 57-70.
J. Fang, R. G. Owens, L. Tacher and A. Parriaux, A numerical study of the SPH
method for simulating transient viscoelastic free surface flows, J.
Non-Newtonian Fluid Mech., 139 (2006) 68-84.
J. Fang and R. G. Owens, Numerical simulations of pulsatile blood flow using a
new constitutive model, Biorheology, 43 (2006) 637-660.
J. Fang and R. G. Owens, New constitutive equations derived from a kinetic
model for melts and concentrated solutions of linear polymers. Rheol. Acta, 44
(2005) 577-590.
M. Sahin and R. G. Owens, On the effects of viscoelasticity on two-dimensional
vortex dynamics in the cylinder wake. J. Non-Newtonian Fluid Mech., 123
(2004) 121-139.
A. Lozinski, R. G. Owens and J. Fang, A Fokker-Planck-based numerical method
for modelling non-homogeneous flows of dilute polymer solutions. J.
Non-Newtonian Fluid Mech., 122 (2004) 322-335.
M. Sahin and R. G. Owens, An investigation of wall effects up to high blockage
ratios on two-dimensional flow past a confined cylinder. Physics of Fluids,
16 (2004) 1305-1320.
J. Fang, A. Lozinski and R. G. Owens, Towards more realistic kinetic models for
concentrated solutions and melts. J. Non-Newtonian Fluid Mech., 122
(2004) 128-139.
A. Lozinski and R. G. Owens, An energy estimate for the Oldroyd B model: Theory
and applications, J. Non-Newtonian Fluid Mech., 112 (2003)
161-176.
A. Lozinski, C. Chauvière, J. Fang and R. G. Owens, A Fokker-Planck simulation
of fast flows of concentrated polymer solutions in complex geometries, J.
Rheol., 47 (2003) 535-561.
M. Sahin and R. G. Owens , A novel fully-implicit finite volume method applied
to the lid-driven cavity problem. Part II. Linear stability analysis, Int.
J. Numer. Meth. Fluids, 42 (2003) 79-88.
M. Sahin and R. G. Owens , A novel fully-implicit finite volume method applied
to the lid-driven cavity problem. Part I. High Reynolds number flow
calculations, Int. J. Numer. Meth. Fluids, 42 (2003) 57-77.
R. G. Owens, C. Chauvière and T. N. Phillips, A locally-upwinded spectral
technique (LUST) for viscoelastic flows, J. Non-Newtonian Fluid Mech., 108
(2002) 49-72.
A. Lozinski, R. G. Owens and A. Quarteroni, On the simulation of unsteady flow
of an Oldroyd-B fluid by spectral methods, J. Sci. Comput., 17
(2002) 407-416.
C. Chauvière and R. G. Owens, A robust spectral element method for simulations
of time-dependent viscoelastic flows, derived from the Brownian configuration
field method, J. Sci. Comput. 17 (2002) 209-218.
C. Bernardi, N. Fiétier and R. G. Owens, An error indicator for mortar element
solutions to the Stokes problem, IMA J. Num. Anal., 21 (2001)
857-886.
C. Chauvière and R. G. Owens, A new spectral element method for the reliable
computation of viscoelastic flow . Comp. Meth. Appl. Mech. Engrg., 190
(2001) 3999-4018.
C. Chauvière and R. G. Owens, How accurate is your solution? Error indicators
for viscoelastic flow calculations , J. Non-Newtonian Fluid Mech., 95
(2000) 1-33.
J. Valenciano and R. G. Owens, An h-p adaptive spectral element method for
Stokes flow, Appl. Numer. Math., 33 (2000) 365-371.
J. Valenciano and R. G. Owens, A new adaptive modification strategy for
numerical solutions to elliptic boundary value problems, Appl. Numer. Math.,
32 (2000) 305-329.
R. G. Owens, A posteriori error estimates for spectral element solutions to
viscoelastic flow problems, Comp. Meth. Appl. Mech. Engrg., 164
(1998) 375-395.
R. G. Owens, Spectral approximations
on the triangle, Proc. Roy. Soc. Lond. A, 454 (1998) 857-872.
T. N. Phillips and R. G. Owens, A mass conserving multidomain spectral
collocation method for the Stokes problem, Computers and Fluids, 26
(1997) 825-840.
R. G. Owens and T. N. Phillips, Steady viscoelastic flow past a sphere using
spectral elements, Int. J. Num. Meth. Engrg., 39 (1996)
1517-1534.
R. G. Owens and T. N. Phillips, Mass- and momentum conserving spectral methods
for Stokes flow, J. Comp. Appl. Math., 53 (1994) 185-206.
R. G. Owens and T. N. Phillips, Compatible pseudospectral approximations for
incompressible flow in an undulating tube, J. Rheol., 37 (1993)
1181-1199.
A. Askar, R. G. Owens and H. A. Rabitz, Molecular dynamics with Langevin
equation using local harmonics and Chandrasekhar's convolution, J. Chem.
Phys., 99 (1993) 5316-5325.
R. G. Owens and T. N. Phillips, A spectral domain decomposition method for the
planar non-Newtonian stick-slip problem, J. Non-Newtonian Fluid Mech., 41
(1991) 43-79.
P. Delaunay, A. Lozinski and R. G.
Owens, Sparse tensor-product Fokker-Planck-based methods for nonlinear
bead-spring chain models of dilute polymer solutions, CRM Proceedings
and Lecture Notes 41 (2007) 73-89.
C. Chauvière and R. G. Owens ,
Wiggle-free spectral element methods for non-Newtonian flows, Proceedings of
the 16th IMACS World Congress, Eds. M. Deville and R. G. Owens, Lausanne,
Switzerland (2000).
R. G. Owens and T. N. Phillips ,
Decoupled spectral element methods for steady viscoelastic flow past a sphere,
Proceedings of ICOSAHOM.95, Houston J. Math., (1996) 287-294.
R. G. Owens and T. N. Phillips , A
pseudospectral element method for steady viscoelastic flow around a sphere in a
tube, Proceedings of the Fourth European Rheology Conference, Steinkopff
Verlag,
A. S. Kane, Y. Bourgault, A. Iolov,
R. G. Owens and A. Fortin, Computation
of blood flows accounting for red-blood cell aggregation/fragmentation,
Proceedings of the Seventh International Symposium on Turbulence and Shear Flow
Phenomena (TSFP-7), 2011, 6 pages.
A. Iolov, Y. Bourgault, A. Fortin,
A. Kane and R. G. Owens, Finite element methods for a mesoscopic constitutive
model of blood, 1st International Conference on Mathematical and Computational
Biomedical Engineering (CMBE2009), Swansea, UK, June 29-July 1, 2009, 4 pages.
C. Chauvière, J. Fang, A. Lozinski
and R. G. Owens, On the numerical simulation of flows of polymer solutions
using high-order methods based on the Fokker-Planck equation. Int. J. Mod.
Phys. B. 17 (2003) 9-14.