Department of Mathematical and Statistical Sciences
Professor
 Office:
 CAB 521
 Mailing Address:

Department of Mathematical Sciences
University of Alberta
Edmonton, Alberta
Canada, T6G 2G1
 Phone:
 +1 780 492 0532
 Fax:
 +1 780 492 6826
 Email:
 GPG key: jcbowmanpubkey.asc
 GPG Key fingerprint: 6237 D46E 270E 1C3B 7B12 F032 F9EB A966 4CD7 3FB3
Research & Teaching:
Honours Mathematics/Statistics Programs at the University of Alberta
Math 100: Calculus I
Math 101: Calculus II
Math 117: Honours Calculus I
Math 118: Honours Calculus II
Math 225: Linear Algebra II
Math 422: Coding Theory
Math 411: Honours Complex Variables
Math 538: Techniques of Applied Mathematics
Math 655: Statistical Theories of Turbulence
Research Interests
Talks
Publications
Computer Software
U of A Geophysical Fluid Dynamics
Research Group
Education:
 BS Eng (Alberta)
MA (Princeton)
PhD (Princeton)
Area of Specialization:
 My past work on the analytical and numerical aspects of statistical
closures in turbulence has led to the recent development of Spectral
Reduction, a reduced statistical description of turbulence. The agreement
with full numerical simulations appears to be remarkably good, even in
flows containing longlived coherent structures. Among the practical
applications, such a tool can be used to assess the effect of various
dissipation mechanisms in largeeddy simulations, as a subgrid model, or
even as a substitute for full simulation of highReynolds number
turbulence.
My other research interests include: implicit dealiasing of linear
convolutions, 3D vector graphics, inertialrange scaling laws for
twodimensional fluid, plasma, and geophysical turbulence; nonlinear
symmetric stability criteria for constrained noncanonical Hamiltonian
dynamics; turbulent transport and the role of anisotropy in plasma and
geophysical turbulence; realizable statistical closures; electroosmotic flow;
parcel advection algorithms; exactly conservative integration algorithms;
anisotropic multigrid solvers.
Publications:
A Fully Lagrangian Advection Scheme,
M. A. Yassaei, J. C. Bowman, and A. Basu,
submitted to Journal of Scientific Computing (2013).
Adaptive Matrix Transpose Algorithms for Distributed Multicore Processors,
J. C. Bowman and Malcolm Roberts, to appear, Springer Proceedings of the
Applied Mathematics, Modeling and Computational Science, (2013).
Casimir Cascades in TwoDimensional Turbulence,
J. C. Bowman, Journal of Fluid Mechanics, 729,
364376, (2013).
Online Journal
Multithreaded Implicitly Dealiased Pseudospectral Convolutions,
M. Roberts and J. C. Bowman, to appear,
Proceedings of the 20th Annual Conference of the CFD Society of Canada,
(2012).
Pseudospectral Reduction of Incompressible TwoDimensional Turbulence,
J. C. Bowman and M. Roberts,
Communications in Nonlinear Science and Numerical Simulation,
17:5, 20082013 (2012).
Online Journal
Surface
Parameterization of Nonsimply Connected Planar Bézier Regions,
O. Shardt and J. C. Bowman, ComputerAided Design, 44:5,
484.e110 (2012).
Online Journal
Dealiased
Convolutions for Pseudospectral Simulations,
M. Roberts and J. C. Bowman,
Journal of Physics: Conference Series,318:7, 072037, 16 (2011).
Online Journal
Efficient
Dealiased Convolutions without Padding,
J. C. Bowman and M. Roberts,
SIAM Journal on Scientific Computing, 33:1, 386406 (2011).
Online Journal
Asymptote: Interactive TeXaware 3D vector graphics,
J. C. Bowman
TUGBOAT: The Communications of the TeX Users Group, 31:2, 203205
(2010).
Angular redistribution of
nonlinear perturbations: a universal feature of nonuniform flows,
W. Horton, J.H. Kim, G. D. Chagelishvili, J. C. Bowman, and
J. G. Lominadze Phys. Rev. E., 81 066304, (2010).
Online Journal
Casimir Cascades in TwoDimensional
Turbulence,
J. C. Bowman,
Advances in Turbulence XII,
Proceedings of the 12th EUROMECH European Turbulence Conference, September
710, 2009, Marburg, Springer Proceedings in Physics
, 132,
Eckhardt, Bruno (Ed.) ISBN: 9783642030840 (2009).
The Multispectral Method:
Progress and Prospects,
M. Roberts, J. C. Bowman, and B. Eckhardt
Advances in Turbulence XII,
Proceedings of the 12th EUROMECH European Turbulence Conference, September
710, 2009, Marburg, Springer Proceedings in Physics
, 132,
Eckhardt, Bruno (Ed.) ISBN: 9783642030840 (2009).
Asymptote: Lifting TeX to three dimensions,
J. C. Bowman and O. Shardt,
TUGBOAT: The Communications of the TeX Users Group, 30:1, 5863
(2009).
Asymptote: A vector graphics language,
J. C. Bowman and A. Hammerlindl,
TUGBOAT: The Communications of the TeX Users Group, 29:2,
288294 (2008).
The 3D Asymptote Generalization of MetaPost Bézier Interpolation,
J. C. Bowman,
Proceedings in Applied Mathematics and Mechanics, 7:1,
20100212010022 (2007).
Online Journal
StructurePreserving and Exponential
Discretizations of InitialValue Problems,
J. C. Bowman,
Canadian Applied Mathematics Quarterly, 14:3, 223237 (2006).
Selfsustaining vortex
perturbations in smooth shear flows,
J.H. Kim, J. C. Perez, W. Horton, G. D. Chagelishvili, R. G. Changishvili,
J. G. Lominadze, and J. C. Bowman,
Physics of Plasmas 13, 062304, 18 (2006).
Online Journal
Links between dissipation,
intermittency, and helicity in the GOY model revisited,
J. C. Bowman, C. R. Doering, B. Eckhardt, J. Davoudi, M. Roberts,
Joerg Schumacher
Physica D 218, 110 (2006).
Online Journal
Largescale energy spectra in surface
quasigeostrophic turbulence,
C. V. Tran and J. C. Bowman,
Journal of Fluid Mechanics 526, 349359 (2005).
Online Journal
Robustness of the inverse cascade in twodimensional turbulence
C. V. Tran and J. C. Bowman,
Physical Review E 69, 036303, 17 (2004).
Online Journal
Energy budgets in
CharneyHasegawaMima and surface quasigeostrophic turbulence
C. V. Tran and J. C. Bowman,
Physical Review E 68, 036304, 14 (2003).
Online Journal
On the Dual Cascade in TwoDimensional Turbulence,
C. V. Tran and J. C. Bowman, Physica D 176, 242255 (2003).
Online Journal
Field theory model for twodimensional turbulence: vorticitybased approach,
M. V. Altaisky and J. C. Bowman,
Acta Physica Slovaca 52, 553558 (2002).
Online Journal
Nonwhite noise and a multiplerate Markovian closure theory for turbulence,
G. Hammett and J. C. Bowman,
submitted to Phys. Fluids (2002).
An Exactly Conservative Integrator for the nBody Problem,
O. Kotovych and J. C. Bowman,
Journal of Physics A: Mathematical and General (2002) 35, 78497863 (2002).
Online Journal
EnergyConserving Simulation of Incompressible ElectroOsmotic and
PressureDriven Flow,
J. Alam and J. C. Bowman,
Theoretical and Computational Fluid Dynamics 52, 133150 (2002).
Online Journal
Numerical Challenges for Turbulence Computation:
Statistical Equipartition and the Method of Spectral Reduction,
J. C. Bowman, B. A. Shadwick, and P. J. Morrison,
in Scientific Computing and Applications
edited by P. Minev, Y.S. Wong, and Y. Lin, volume 7 of
Advances in Computation: Theory and Practice,
Nova Science Publishers, 171178 (2001).
Structure Preserving Integration Algorithms,
B. A. Shadwick, W. F. Buell, and J. C. Bowman,
in Scientific Computing and Applications
edited by P. Minev, Y.S. Wong, and Y. Lin, volume 7 of
Advances in Computation: Theory and Practice,
Nova Science Publishers, 247255 (2001).
Economical digital photomicroscopy,
S. Wunsam and J. C. Bowman,
Journal of Paleolimnology 25, 399403 (2001).
Online Journal
Modelling sediment deposition
patterns arising from suddenly released fixedvolume turbulent suspensions,
T. B. Moodie, J. P. Pascal, and J. C. Bowman,
Studies in Applied Mathematics 105, 333359 (2000).
Online Journal
A Multigrid Algorithm for Nonlocal Collisional Electrostatic DriftWave
Turbulence,
J. C. Bowman, A. Zeiler, and D. Biskamp,
Journal of Computational Physics 158, 239261 (2000).
Online Journal
Spectral reduction: a statistical description of turbulence,
J. C. Bowman, B. A. Shadwick, and P. J. Morrison,
Physical Review Letters 83, 54915494 (1999).
Online Journal
Exactly conservative integrators,
B. A. Shadwick, J. C. Bowman, and P. J. Morrison,
SIAM Journal of Applied Mathematics 59, 11121133 (1999).
Online Journal
The realizable Markovian closure and realizable testfield model.
II. Application to anisotropic driftwave dynamics
[with corrected Fig. 1]
J. C. Bowman and J. A. Krommes,
Phys of Plasmas 4, 38953909 (1997).
Online Journal
Exactly conservative integrators,
J. C. Bowman, B. A. Shadwick, and P. J. Morrison,
15th IMACS World Congress on Scientific Computation, Modelling, and Applied
Mathematics 2, edited by A. Sydow, Wissenschaft & Technik,
Berlin, 595600 (1997).
Statistical theory of resistive driftwave turbulence and transport,
G. Hu, J. A. Krommes, and J. C. Bowman,
Physics of Plasmas 4, 21162133 (1997).
Online Journal
A wavenumber partitioning scheme for twodimensional statistical closures,
J. C. Bowman,
Journal of Scientific Computing 11, 343372 (1996).
Spectral reduction for twodimensional turbulence,
J. C. Bowman, B. A. Shadwick, P. J. Morrison,
Transport, Chaos, and Plasma Physics 2,
edited by S. Benkadda, F. Doveil and Y. Elskens, World Scientific, 5873
(1996).
On inertialrange scaling laws,
J. C. Bowman,
J. Fluid Mech. 306, 167181 (1996).
Nonlinear symmetric stability of planetary atmospheres,
J. C. Bowman and T.G. Shepherd,
J. Fluid Mech. 296, 391407 (1995).
Resistive driftwave plasma turbulence and the realizable Markovian closure,
G. Hu, J. A. Krommes, and J. C. Bowman,
Phys. Lett. A 202, 117125 (1995).
Online Journal
The realizable Markovian closure. I. General theory, with application to
threewave dynamics,
[with corrected Figs. 2 and 3]
J. C. Bowman, J. A. Krommes, and M. Ottaviani,
Phys. Fluids B 5, 3558 (1993).
Online Journal
Realizable Markovian Statistical Closures: General Theory and Application
to DriftWave Turbulence,
J. C. Bowman, Ph.D. Thesis,
Princeton University, 2nd edition (1992).
(gzipcompressed)
Advances in the analytic theory of plasma turbulence and transport:
realizable Markovian statistical closures,
M. Ottaviani, J. C. Bowman, and J. A. Krommes,
Phys. Fluids B 3, 2186 (1991).
Online Journal
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