David Montgomery's Home Page

DAVID CAMPBELL MONTGOMERY

Eleanor and A. Kelvin Smith Professor of Physics Department of Physics & Astronomy Dartmouth College (since 1984) Hanover, New Hampshire 03755-3528
Office: 236 Wilder Physical Laboratory
Telephone: (603) 646-3219
FAX: (603) 646-1446
e-mail: David.C.Montgomery@dartmouth.edu

Vitae

Born: Milan, Missouri, 5 March 1936
Education: B.S. Wisconsin (1956); M.A.(1958) and Ph.D.(1959) Princeton University

Memberships:
American Physical Society (Fellow since 1969)
American Geophysical Union
Federation of American Scientists
American Association of University Professors

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). 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)

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

Our group has 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):

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.

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

Postdoctoral Research Associates Supervised at Dartmouth:

Ziya Agim
Michael Brown
John Shebalin
Jill Dahlburg
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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