189 citations · 1.6k across the 88 of their papers we have counts for
15 papers · 1 filter
Fluid Flow Induced Deformation of a Boundary Hair
Jonas P. Smucker, Zerrin M. Vural, José R. Alvarado +1
The deformation of a dense carpet of hair due to Stokes flow in a channel can be described by a nonlinear integro-differential equation for the shape of a single hair, which posses…
The kinetic origin of the fluid helicity -- a symmetry in the kinetic phase space
Zensho Yoshida, Philip J. Morrison
Helicity, a topological degree that measures the winding and linking of vortex lines, is preserved by ideal (barotropic) fluid dynamics. In the context of the Hamiltonian descripti…
A Hamiltonian description of finite-time singularity in Euler's fluid equations
Philip J. Morrison, Yoshifumi Kimura
The recently proposed low degree-of-freedom model of Moffat and Kimura [1,2] for describing the approach to finite-time singularity of the incompressible Euler fluid equations is i…
A General Metriplectic Framework with Application to Dissipative Extended Magnetohydrodynamics
Baptiste Coquinot, Philip J. Morrison
General equations for conservative yet dissipative (entropy producing) extended magnetohydrodynamics are derived from two-fluid theory. Keeping all terms generates unusual cross-ef…
Internal wave energy flux from density perturbations in nonlinear stratifications
Frank M. Lee, Michael R. Allshouse, Harry L. Swinney +1
Internal gravity wave energy contributes significantly to the energy budget of the oceans, affecting mixing and the thermohaline circulation. Hence it is important to determine the…
Epi-two-dimensional fluid flow: a new topological paradigm for dimensionality
Z. Yoshida, P. J. Morrison
While a variety of fundamental differences are known to separate two-dimensional (2D) and three-dimensional (3D) fluid flows, it is not well understood how they are related. Conven…
Beatification: Flattening the Poisson Bracket for Two-Dimensional Fluid and Plasma Theories
Thiago F. Viscondi, Iberê L. Caldas, Philip J. Morrison
A perturbative method called beatification is presented for a class of two-dimensional fluid and plasma theories. The Hamiltonian systems considered, namely the Euler, Vlasov-Poiss…
Epi-two-dimensional flow and generalized enstrophy
Zensho Yoshida, Philip J. Morrison
The conservation of the enstrophy ( norm of the vorticity ) plays an essential role in the physics and mathematics of two-dimensional (2D) Euler fluids. Generalizing to com…
Stability Boundaries and Sufficient Stability Conditions for Stably Stratified, Monotonic Shear Flows
Makoto Hirota, Philip J. Morrison
Linear stability of inviscid, parallel, and stably stratified shear flow is studied under the assumption of smooth strictly monotonic profiles of shear flow and density, so that th…
Internal wave pressure, velocity, and energy flux from density perturbations
Michael R. Allshouse, Frank M. Lee, Philip J. Morrison +1
Determination of energy transport is crucial for understanding the energy budget and fluid circulation in density varying fluids such as the ocean and the atmosphere. However, it i…
A method for Hamiltonian truncation: A four-wave example
Thiago F. Viscondi, Iberê L. Caldas, Philip J. Morrison
A method for extracting finite-dimensional Hamiltonian systems from a class of 2+1 Hamiltonian mean field theories is presented. These theories possess noncanonical Poisson bracket…
Experimental determination of radiated internal wave power without pressure field data
Frank M. Lee, M. S. Paoletti, Harry L. Swinney +1
We present a method to determine, using only velocity field data, the time-averaged energy flux and total radiated power for two-dimensional inter…
Variational Approach to Necessary and Sufficient Stability Conditions for Inviscid Shear Flow
Makoto Hirota, Philip J. Morrison, Yuji Hattori
A necessary and sufficient condition for linear stability of inviscid parallel shear flow is formulated by a novel variational method, where the velocity profile is assumed to be m…
Deformation of vortex patches by boundaries
A. Crosby, E. R. Johnson, P. J. Morrison
The deformation of two-dimensional vortex patches in the vicinity of fluid boundaries is investigated. The presence of a boundary causes an initially circular patch of uniform vort…
The Hamiltonian description of incompressible fluid ellipsoids
P. J. Morrison, N. R. Lebovitz, J. A. Biello
We construct the noncanonical Poisson bracket associated with the phase space of first order moments of the velocity field and quadratic moments of the density of a fluid with a fr…