R. G. Owens and
T. N. Phillips. Computational Rheology, Imperial College Press/World
Scientific, 2002 and 2005. (ISBN 1-86094-186-9)
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)
F. De l’Isle and
R. G. Owens, Superconsistent collocation methods with applications to
convection-dominated convection-diffusion equations, submitted for publication
(2019).
K. Behrouzi, Z. K. Fard, A. Jafari and R. G. Owens, On the modelling and numerical simulation of non-Newtonian blood flow in an aneurysm, submitted for publication (2019).
M. Bennoune, J. Morin-Drouin and R. G. Owens, On the jump conditions for the immersed interface method. SIAM J. Sci. Comput. 38(3) (2016) A1280-A1316.
Y. Tawfik and R. G. Owens, A mathematical and numerical investigation of the hemodynamical origins of oscillations in microvascular networks. Bull. Math. Biol. 75 (2013) 676-707.
R. K. Noutcheuwa and R. G. Owens, A new incompressible smoothed particle hydrodynamics-immersed boundary method. Int. J. Numer. Anal. Mod. B 3 (2012) 126-167.
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 Kirkwood's diffusion equation and the coupled fluctuating polymer and solvent kinetic equations of Oono and Freed. J. Non-Newtonian Fluid Mech., 166 (2011) 1297-1303.
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, Darmstadt, (1994) 359-361.
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.