Imperial College London
Alternate

ProfessorDarrylHolm

Faculty of Natural Sciences, Department of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8531d.holm Website

 
 
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Location

 

6M27Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

335 results found

Holm DD, Nadiga BT, 2003, Modeling mesoscale turbulence in the Barotropic Double-Gyre circulation, Journal of Physical Oceanography, Vol: 33, Pages: 2355-2365, ISSN: 0022-3670

This paper presents analytical and numerical results for a class of turbulence closure models called “alpha models,” in which Lagrangian averaging and turbulence closure assumptions modify the Eulerian nonlinearity. The alpha models are investigated in the setting of the barotropic, double-gyre circulation in an ocean basin. Two variants of the alpha models for the barotropic vorticity (BV) equation are found to produce the correct four-gyre configuration for the mean barotropic circulation in numerical simulations performed at a resolution 4 times as coarse as that required in a resolved BV model. These are the BV-α model and the BV-Leray-α model. However, at a resolution 8 times as coarse, only the BV-α model produces the proper four-gyre configuration. Thus, the combination of modified nonlinearity and viscous dissipation (the viscosity is the same in all of the runs) in the BV-α model is found to provide a promising approach to modeling the mean effects of unresolved mesoscale (subgrid scale) activity in this problem.

Journal article

Holm DD, Hone ANW, 2003, Nonintegrability of a fifth-order equation with integrable two-body dynamics, 16th International Conference on Nonlinear Evolution Equations and Dynamical Systems, Publisher: CONSULTANTS BUREAU, Pages: 1459-1471, ISSN: 0040-5779

Conference paper

Dullin HR, Gottwald GA, Holm DD, 2003, Camassa-Holm, Korteweg-de Vries-5 and other asymptotically equivalent equations for shallow water waves, FLUID DYNAMICS RESEARCH, Vol: 33, Pages: 73-95, ISSN: 0169-5983

Journal article

Chen Q, Chen S, Eyink GL, Holm DDet al., 2003, Intermittency in the joint cascade of energy and helicity, Physical Review Letters, Vol: 90, Pages: 2145031-2145034, ISSN: 0031-9007

The intermittency in the energy and helicity fluxes in an isotropic turbulent flow was investigated using high resolution direct numerical simulation based methods. The scaling exponents of the energy flux were in good agreement with the transverse velocity structure functions. Also, the helicity flux was found to be more intermittent than the energy flux.

Journal article

Chen QN, Chen SY, Eyink GL, Holm DDet al., 2003, Intermittency in the joint cascade of energy and helicity, PHYSICAL REVIEW LETTERS, Vol: 90, ISSN: 0031-9007

Journal article

Fabijonas BR, Holm DD, 2003, Mean effects of turbulence on elliptic instability in fluids, Physical Review Letters, Vol: 90, ISSN: 0031-9007

The Craik-Criminale (CC) family of superposed solutions was preserved by the LANS-α model. This enabled to determine the effects of the turbulence correlation length in this model on the classic elliptic instability. The correlation length sets the scale that makes the instability become wave-number dependent. The neutral stability surface as a function of α2β2 was determined.

Journal article

Fabijonas BR, Holm DD, 2003, Mean effects of turbulence on elliptic instability in fluids, PHYSICAL REVIEW LETTERS, Vol: 90, ISSN: 0031-9007

Journal article

Holm DD, Staley MF, 2003, Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE, PHYSICS LETTERS A, Vol: 308, Pages: 437-444, ISSN: 0375-9601

Journal article

Holm DD, 2003, Rasetti-Regge Dirac bracket formulation of Lagrangian fluid dynamics of vortex filaments, International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Publisher: ELSEVIER SCIENCE BV, Pages: 53-63, ISSN: 0378-4754

Conference paper

Geurts BJ, Holm DD, 2003, Regularization modeling for large-eddy simulation, PHYSICS OF FLUIDS, Vol: 15, Pages: L13-L16, ISSN: 1070-6631

Journal article

Holm DD, Staley MF, 2003, Wave structure and nonlinear balances in a family of evolutionary PDEs, SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, Vol: 2, Pages: 323-380, ISSN: 1536-0040

Journal article

Qiao Z, Holm DD, 2003, The Camassa-Holm hierarchy, N-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold, Communications in Mathematical Physics, Vol: 239, Pages: 309-342, ISSN: 0010-3616

Journal article

Degasperis A, Holm DD, Hone ANW, 2003, Integrable and non-integrable equations with peakons, River Edge, N.J., Nonlinear physics: theory and experiment, II, Gallipoli, Italy 27 June - 6 July 2002, Publisher: World Scientific Publishing, Pages: 37-43

Conference paper

Chertkov M, Ecke B, Eyink G, Holm Det al., 2003, Preface, Journal of Statistical Physics, Vol: 113, Pages: 637-642, ISSN: 0022-4715

Journal article

Degasperis A, Holm DD, Hone ANW, 2002, A new integrable equation with peakon solutions, 15th International Conference on Nonlinear Evolution Equations and Dynamical Systems, Publisher: CONSULTANTS BUREAU, Pages: 1463-1474, ISSN: 0040-5779

Conference paper

Holm DD, 2002, Karman-Howarth theorem for the Lagrangian-averaged Navier-Stokes-alpha model of turbulence, JOURNAL OF FLUID MECHANICS, Vol: 467, Pages: 205-214, ISSN: 0022-1120

Journal article

Holm DD, 2002, Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics, PHYSICA D-NONLINEAR PHENOMENA, Vol: 170, Pages: 253-286, ISSN: 0167-2789

Journal article

Holm DD, Kerr R, 2002, Transient vortex events in the initial value problem for turbulence, PHYSICAL REVIEW LETTERS, Vol: 88, ISSN: 0031-9007

Journal article

Holm DD, 2002, Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics, CHAOS, Vol: 12, Pages: 518-530, ISSN: 1054-1500

Journal article

Holm DD, 2002, Variational principles for Lagrangian-averaged fluid dynamics, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 35, Pages: 679-688, ISSN: 0305-4470

Journal article

Holm DD, Lynch P, 2002, Stepwise precession of the resonant swinging spring, SIAM Journal on Applied Mathematics, Vol: 1, Pages: 44-64, ISSN: 1536-0040

Journal article

Geurts BJ, Holm DD, 2002, Leray simulation of turbulent shear layers, Barcelona, EUROMECH Ninth European Conference (ETC-9), University of Southampton, UK, 2 - 5 July 2002, Publisher: CIMNE, Pages: 1-4

Conference paper

Foias C, Holm DD, Titi ES, 2002, The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory, Journal of Dynamics and Differential Equations, Vol: 14, Pages: 1-35, ISSN: 1040-7294

Journal article

Geurts BJ, Holm DD, 2002, Alpha-modeling strategy for LES of turbulent mixing, Fluid Mechanics and Its Applications, Vol: 66, Pages: 237-272, ISSN: 0926-5112

Journal article

Holm DD, 2002, Euler-Poincare dynamics of perfect complex fluids, New York, Workshop on geometry, dynamics and mechanic in honour of the 60th birthday of Jerrold E Marsden, Fields Institute for Research in Mathematical Sciences, Toronto, Canada, 7 - 10 August 2002, Publisher: Springer-Verlag, Pages: 113-167

Conference paper

Bergmans J, Schep TJ, 2001, Merging of plasma currents, Physical Review Letters, Vol: 87, ISSN: 0031-9007

Journal article

Dullin HR, Gottwald GA, Holm DD, 2001, An integrable shallow water equation with linear and nonlinear dispersion, Physical Review Letters, Vol: 87, ISSN: 0031-9007

A 1+1 quadratically nonlinear equation in integrable Hamiltonian systems is described for unidirectional water waves. Two results are highlighted. First, it is shown how the dispersion coefficients for the linearized water waves appear as parameters in the isospectral problem for the IST-integrable equation. Second, the equation is rederived as a water wave equation and prove its correctness to one order higher than for Korteweg-deVries (KdV) by using standard methods of asymptotic expansions and near-identity transformations.

Journal article

Dullin HR, Gottwald GA, Holm DD, 2001, An integrable shallow water equation with linear and nonlinear dispersion, PHYSICAL REVIEW LETTERS, Vol: 87, ISSN: 0031-9007

Journal article

Alber MS, Camassa R, Fedorov YN, Holm DD, Marsden JEet al., 2001, The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE's of shallow water and dym type, COMMUNICATIONS IN MATHEMATICAL PHYSICS, Vol: 221, Pages: 197-227, ISSN: 0010-3616

Journal article

Foias C, Holm DD, Titi ES, 2001, The Navier-Stokes-alpha model of fluid turbulence, PHYSICA D, Vol: 152, Pages: 505-519, ISSN: 0167-2789

Journal article

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