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David C. Montgomery
Eleanor and A. Kelvin Smith Professor of Physics, Emeritus, Department of Physics and Astronomy
at Dartmouth since 1984
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Home > People > Faculty > David Montgomery
Education
- Ph.D.(1959) Princeton University
- B.S. Wisconsin (1956); M.A. Princeton University (1958)
Previous Employment
Princeton University, Project Matterhorn (1959-60), University of Wisconsin (1961-62), University of
Maryland (1962-65), University of Iowa (1965-1977), College of William and Mary (1977-1984). Visiting
appointments at: University of Utrecht (Netherlands), Culham Laboratory (U.K.), University of Colorado, Oak
Ridge National Laboratory, University of Alaska, Los Alamos National Laboratory, University of California
(Berkeley), Bell Laboratories, University of Wisconsin, Hunter College (CUNY), National Center for
Atmospheric Research, University of Maryland, University of Nagoya (Japan), Columbia University,
J.E.T.(U.K.), Technical University of Eindhoven (Netherlands), Rijnhuizen Laboratory (Netherlands),
Heinrich-Heine Universität (Düsseldorf, Germany), Risø National Laboratory, Roskilde, Denmark.
Consulted at: NASA Goddard Space Flight Center, NASA Headquarters, Oak Ridge National Laboratory, Los Alamos
National Laboratory.
Courses Taught at Dartmouth - Graduate and Undergraduate
Fluid dynamics, plasma physics, magnetohydrodynamics, classical mechanics, electromagnetic theory,
statistical mechanics, mathematical methods, introductory physics, special topics (turbulence)
Memberships
Contact Information
Research Interests
Fluid and magnetofluid turbulence, statistical mechanics of turbulent continua,
magnetohydrodynamic confinement and stability of fusion plamsas, nonlinear computation of
fluid and magnetofluid effects, inertial confinement fusion, plasma kinetic theory, solar wind
phenomena
My colleagues and I have in recent years been concerned with trying to understand the quantitative behavior
of fluids, particularly electrically conducting fluids in the presence of dc magnetic fields and
applied electric fields. Numerical computation of nonlinear behavior out of the range of linear
analytical mathematics has been used to try to confirm statistical theories of turbulent
relaxation to spatially non-uniform states. Two-dimensional and quasi-two-dimensional phenomena
in magnetohydrodyanmics and fluid mechanics have been of interest. (Rotating neutral fluids are
of particularly recent interest.) It has been attempted to bring classical perspectives from
Navier-Stokes hydrodynamics to bear on electrically conducting fluids and plasmas.
Selected Recent Publications (since 1991)
P.D. Mininni, D.C. Montgomery, and L.Turner "Hydrodynamic and magnetohydrodynamic
computations inside a rotating sphere" New J. Phys. 9, 303(25 pages), 2007.
D.C. Montgomery "Can a physical scientist contribute significantly to the cause of
peace?" Proc. Int. Conf. on Science, Technology and Peace: Conversion and Transformation
ed. by Peter Schmid and Piet Schram, ISBN 978-90-810647-4-3 Eindhoven Unniversity of
Technology TU/e, The Netherlands, 2006.
D.C. Montgomery Paul M. Bellan (2006): Fundamentals of Plasma Physics (book review)
Theor. Comput. Fluid Dyn. 21, 79-80 (2006).
P.D. Mininni and D.C. Montgomery
"Magnetohydrodynamic activity inside a
sphere"
Physics of Fluids 18, 116602 (13 pages), (2006).
David C. Montgomery
"Some Remarks on Decaying Two-Dimensional Turbulence"
chapter in "Mathematical and Physical Theory of Turbulence,"
ed. by J.
Cannon and B. Shivamoggi Boca Raton: Chapman and Hall/CRC, 2006; pp.
91-100.
P.D. Mininni, A.G. Pouquet, and D.C. Montgomery
"Small-scale structures in
three-dimensional magneto- hydrodynamic turbulence"
Physical Review
Letters 97, 244503 (2006).
Pablo D. Mininni and David C. Montgomery
"Low
magnetic Prandtl number dynamos with helical
forcing"
Physical Review E 72, 056320 (9 pages)
(2005).
Pablo D. Mininni, Yannick Ponty, David C.
Montgomery, Jean-Francois Pinton, Helene Politano,
and Annick Pouquet
"Dynamo Regimes with a
Nonhelical Forcing"
Astrophysical Journal 626,
853-863 (2005).
Y. Ponty, P.D. Mininni, D.C.Montgomery, J.-F.
Pinton, H.Politano, and A. Pouquet,
"Numerical
Study of Dynamo Action at Low Magnetic Prandtl
Numbers"
Physical Review Letters 94, 164502
(2005) (4 pages).
Pablo D. Mininni, David C. Montgomery, and Annick
Pouquet
"Numerical solutions of the
three-dimensional magnetohydrodynamic alpha
model"
Physical Review E 71, 046304 (2005) (11
pages).
David Montgomery
"Elegante tour-de-force" (book
review)
Nederlands Tijdschrift voor Natuurkunde
71, 186-187 (2005).
Pablo D. Mininni, David C. Montgomery, and Annick G. Pouquet
"A numerical study of the alpha model for two-dimensional magnetohydrodynamic turbulent flows"
Physics of Fluids 17, 035112 (2005) (17 pages)
Pablo Dmitruk and David C. Montgomery
Numerical study of the decay of enstrophy in a two-dimensional Navier-Stokes fluid in the limit of very small
viscosities."
Physics of Fluids 17, 035114 (2005) (5 pages).
Leon P.J. Kamp and David C. Montgomery
"Toroidal Steady States in Visco-resistive magnetohydrodynamics"
Journal of Plasma Physics 70, 113-142 (2004).
David C. Montgomery
"Magnetohydrodynamic Turbulence"
(Book Review) Eos 85, No. 2, p.20 (2004).
David C. Montgomery
"Marketing Science, Marketing Ourselves"
Academe 89, No. 5 (Sept.-Oct. 2003)[online:
http://www.aaup.org/publications/Academe/2003/03so/03somont.htm ]
Z. Yin, H.J.H.Clercx, and D.C. Montgomery
"An easily implemented task-based parallel scheme for the Fourier pseudospectral solver applied to 2D Navier-Stokes turbulence"
Computers and Fluids 33, 509-520 (2004).
Z. Yin, D.C. Montgomery, and H.J.H. Clercx
"Alternative statistical-mechanical descriptions
of decaying two-dimensional turbulence in terms of 'patches' and 'points'"
Physics of Fluids
15, 1937-1953 (2003).
L.P. Kamp and D.C. Montgomery,
"Toroidal flows in resistive magnetohydrodynamic steady
states,"
Physics of Plasmas 10, 157-167 (2003).
Antonio Ponno, Luigi Galgani, and David C. Montgomery,
"A class of resistive axisymmetric magnetohydrodynammic equilibria in a periodic cylinder,"
Journal of Plasma Physics 67, 251-269 (2002).
David C. Montgomery and Annick Pouquet,
"An alternative interpretation for the Holm 'alpha
model',"
Physics of Fluids 14, 3365-3366 (2002).
D.C. Montgomery, W.H. Matthaeus, L.J. Milano, and P. Dmitruk
"Apparent suppression of
turbulent magnetic dynamo action by a dc magnetic field"
Physics of Plasmas 9, 1221
(2002).
L.J. Milano, W.H. Matthaeus, P. Dmitruk, and D.C. Montgomery
"Local anisotropy in
incompressible magnetohydrodynamic turbulence"
Physics of Plasmas 8, 2673 (2001).
Thomas S. Levi and David C. Montgomery
"Velocity field distributions due to ideal line
vortices"
Physical Review E 63, 056311 1-8 (2001).
David C. Montgomery
"Comment on 'Does flow shear suppress turbulence in nonionized flows?'"
Physics of Plasmas 7, 4785-4786 (2000).
Brian T. Kress and David C. Montgomery
"Pressure determinations for incompressible fluids and magnetofluids"
Journal of Plasma Physics 64, 371-377 (2000).
B.T. Kress and D.C. Montgomery
"Incompressible pressure determinations,"
Proc. 27th European Physical Society Conference on Controlled Fusion and Plasma Physics,
Budapest, Hungary, 2000. (Paper P1.003).
J.W. Bates and D.C. Montgomery
"The D'yakov-Kontorovich instability of shock waves in real gases,"
Phys. Rev. Lett. 84, 1180 (2000),Feb. 7 issue.
D.C. Montgomery and J.W. Bates
"The geometry and symmetries of magnetohydrodyanmic turbulence: anomalies of spatial periodicity,"
Phys. Plasmas 6, 2727 (1999).
J.W. Bates and D.C. Montgomery
"Some numerical studies of exotic shock wave behavior"
Phys. Fluids 11, 462 (1999).
D.C. Montgomery, J.W. Bates, and L.P. Kamp
"MHD steady states as a model for confined plasmas"
Plasma Phys. & Contr. Fusion 41, Suppl. 3A, A507-A517 (1999).
A.D. Kotelnikov and D.C. Montgomery
"Shock Induced Turbulence in Composite Materials at Moderate Reynolds Numbers"
Phys. Fluids 10, 2037 (1998).
J.W. Bates and D.C. Montgomery
"Toroidal Visco-resistive Magnetohydrodynamic Steady States Contain Vortices"
Phys. Plasmas 5, 2649 (1998).
L.P. Kamp, D.C. Montgomery, and J.W. Bates
"Toroidal Flows in Resistive Magnetohydrodynamic Steady States"
Phys. Fluids 10, 1757 (1998).
A.D. Kotelnikov and D.C. Montgomery
"Numerical Study of Shock Propagation in Inhomogeneous Material"
Proc. APS Topical Conference on "Shock Compression of Condensed Matter--1997"
Amherst, MA, July 27-31, 1997; ed. by Schmidt/Dandekar/Forbes, pp. 183-186
American Institute of Physics, 1998.
D. Montgomery and J.W. Bates
"Poloidal Flows in Resistive MHD Equilibria"
Proc. 7th European Fusion Theory Conference, Juelich, Germany, 8-10 Oct., 1997
ed. by A. Rogister;Forschungszentrum Juelich GmbH, Juelich, Germany 1998,
pp. 119-121.
A.D. Kotelnikov and D. Montgomery
"A Kinetic Method for Computing Inhomogeneous Fluid Behavior"
Journal of Computational Physics 134, 364 (1997).
S. Li, D. Montgomery, and W.B. Jones
"Two-dimensional Turbulence with Rigid Circular Walls"
Theoretical Computational Fluid Dynamics 9, 167 (1997).
D. Montgomery, J.W. Bates, and S. Li
"Toroidal vortices in Resistive Magnetohydrodynamic Equilibria"
Physics of Fluids 9, 1188 (1997).
D. Montgomery, J.W. Bates, and H.R. Lewis
"Resistive Magnetohydrodynamic Equilibria"
Physics of Plasmas 4, 1080 (1997).
S. Li, D. Montgomery, and W.B. Jones
"Inverse Cascades of Angular Momentum"
Journal of Plasma Physics 56, 615 (1996).
D. Montgomery
"Entropies for Continua: Fluids and Magnetofluids",
in MAXIMUM ENTROPY AND BAYESIAN METHODS, ed. by J. Skilling and S. Sibisi
(Dordrecht: Kluwer, 1996), pp. 303-314.
S. Li, D. Montgomery
"Decaying Two-dimensional Turbulence with Rigid Walls"
Phys. Lett. A 218, 281, 1996
D. Montgomery & X. Shan
"Magnetohydrodynamic Turbulence with Net Currents"
in 'Small-Scale Structures in Three-Dimensional Hydrodynamic and
Magnetohydrodynamic Turbulence,'
edited by M. Meneguzzi, A. Pouquet,
and P.-L. Sulem (Berlin, Springer-Verlag, 1995; pp. 241-254)
D. Montgomery & W.H. Matthaeus
"Anisotropic Modal Energy Transfer in Interstellar Turbulence"
Astrophys. J. 447, 706 (1995)
X. Shan & D. Montgomery
"Magnetohydrodynamic Stabilization Through Rotation"
Phys. Rev. Lett. 73, 1624 (1994)
D. Montgomery & X. Shan
"Toroidal Resistive MHD Equilibria"
Comments on Plasma Phys. & Contr. Fusion 15, 315 (1994)
W.B. Jones & D. Montgomery
"Finite Amplitude Steady States of high Reynolds Number 2-D Channel Flow"
Physica D 73, 227 (1994)
X. Shan & D. Montgomery
On the role of the Hartmann Number in Magnetohydrodynamic Activity"
Plasma Phys. & Contr. Fusion 35, 619 and 1019 (1993).
H. Chen & D. Montgomery
"Equilibrium Properties of a Rotating Plasma: Differences Between Fluid Velocity and Drift Velocity"
J. Plasma Phys. 49, 341 (1993)
D. Montgomery, X. Shan, & W.H. Matthaeus
"Navier-Stokes Relaxation to Sinh-Poisson States at Finite Reynolds Numbers"
Phys. Fluids A 5, 2207 (1993).
D. Montgomery, W.H. Matthaeus, W.T. Stribling, D. Martinez, and S. Oughton
"Relaxation in Two Dimensions and the 'Sinh-Poisson' Equation
Phys. Fluids A 4, 3 (1992)
D. Montgomery
"Modifications of Magnetohydrodynamics as Applied to the Solar Wind"
J. Geophys. Res. 97, 4309 (1992)
D. Montgomery
"Magnetohydrodyanmic Stability Thresholds as a Function of the Hartmann Number and Pinch Ratio"
Plasma Phys. & Contr. Fusion 34, 1157 (1992)
W.H. Matthaeus, W.T. Stribling, D. Martinez, S. Oughton, & D. Montgomery
"Decaying Two-Dimensional Navier-Stokes Turbulence at Very Long Times"
Physica D 51, 531 (1991)
X. Shan, D. Montgomery, & H. Chen
"Nonlinear Magnetohydrodynamics by Galerkin-method Computation"
Phys. Rev. A 44, 6800 (1991).
Ph.D. theses supervised at Dartmouth
Hudong Chen (American Physical Society Fellow)
Michael L. Theobald
Xiaowen Shan
Wesley B. Jones
Shuojun Li
Alexei Kotelnikov
Brian T. Kress
Postdoctoral Research Associates Supervised at Dartmouth
Ziya Agim
Michael Brown
John Shebalin
Jill Dahlburg (American Physical Society Fellow)
Lee Phillips
Xiaowen Shan
Jason Bates
Hudong Chen (American Physical Society Fellow)
Sanjoy Ghosh
Michael Goodman
Hubert Shen
Wesley Jones
Antonio Ting (American Physical Society Fellow)
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