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 long-lived coherent structures. Among the practical
applications, such a tool can be used to assess the effect of various
dissipation mechanisms in large-eddy simulations, as a subgrid model, or
even as a substitute for full simulation of high-Reynolds number
turbulence.
My other research interests include: implicit dealiasing of linear
convolutions, 3D vector graphics, inertial-range scaling laws for
two-dimensional fluid, plasma, and geophysical turbulence; nonlinear
symmetric stability criteria for constrained non-canonical Hamiltonian
dynamics; turbulent transport and the role of anisotropy in plasma and
geophysical turbulence; realizable statistical closures; electro-osmotic flow;
parcel advection algorithms; exactly conservative integration algorithms;
anisotropic multigrid solvers.
Casimir Cascades in Two-Dimensional
Turbulence,
J. C. Bowman,
Advances in Turbulence XII,
Proceedings of the 12th EUROMECH European Turbulence Conference, September
7-10, 2009, Marburg, Springer Proceedings in Physics
132,
Eckhardt, Bruno (Ed.) ISBN: 978-3-642-03084-0 (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
7-10, 2009, Marburg, Springer Proceedings in Physics
132,
Eckhardt, Bruno (Ed.) ISBN: 978-3-642-03084-0 (2009).
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, 247-255 (2001).
Exactly conservative integrators, J. C. Bowman, B. A. Shadwick, and P. J. Morrison,
15th IMACS World Congress on Scientific Computation, Modelling, and Applied
Mathematics2, edited by A. Sydow, Wissenschaft & Technik,
Berlin, 595-600 (1997).
Statistical theory of resistive drift-wave turbulence and transport,
G. Hu, J. A. Krommes, and J. C. Bowman,
Physics of Plasmas 4, 2116-2133 (1997).
Online Journal
Spectral reduction for two-dimensional 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, 58-73
(1996).
Resistive drift-wave plasma turbulence and the realizable Markovian closure,
G. Hu, J. A. Krommes, and J. C. Bowman,
Phys. Lett. A 202, 117-125 (1995).
Online Journal
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