3,119 research outputs found
Sherman and His Historians: An End to the Outsized Destroyer Myth?
For years, scholars have viewed the career of William Tecumseh Sherman in light of an antiquated destroyer myth and neglected his memoirs, which were written as a military textbook. This essay reviews Sherman’s legacy and literature, both of which contributed to the advancement of modern military thought. His experiences may serve as a prescriptive text to servicemembers, providing critical lessons on military warfare and philosophy still relevant today
Americans and the Dragon: Lessons in Coalition Warfighting from the Boxer Uprising
©2023 Mitchell G. Klingenberg
Drawing from archival materials at the US Army Heritage and Education Center and the United States Military Academy at West Point, numerous published primary sources, and a range of secondary sources, this monograph offers an overview of the China Relief Expedition from June 1900 to the moment of liberation in August. Its considerations range from the geopolitical to the strategic and down to the tactical levels of war. US forces partnered alongside the combined naval and land forces of multiple nations, thus constituting the first contingency, expeditionary, and multinational coalition in American military history. In the face of numerous obstacles conditioned by enemy forces, the environment, and internal to the informal coalition itself, American forces succeeded in liberating their besieged legation. While the character of war has evolved since 1900, students of war should see through disparities that appear to separate the China Relief Expedition from the historical present.https://press.armywarcollege.edu/monographs/1957/thumbnail.jp
Relaxation of surface charge on rotating dielectric spheres: Implications on dynamic electrorheological effects
We have examined the effect of an oscillatory rotation of a polarized
dielectric particle. The rotational motion leads to a re-distribution of the
polarization charge on the surface of the particle. We show that the time
averaged steady-state dipole moment is along the field direction, but its
magnitude is reduced by a factor which depends on the angular velocity of
rotation. As a result, the rotational motion of the particle reduces the
electrorheological effect. We further assume that the relaxation of polarized
charge is arised from a finite conductivity of the particle or host medium. We
calculate the relaxation time based on the Maxwell-Wagner theory, suitably
generalized to include the rotational motion. Analytic expressions for the
reduction factor and the relaxation time are given and their dependence on the
angular velocity of rotation will be discussed.Comment: Accepted for publications by Phys. Rev.
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity
We present an implicit-explicit well-balanced finite volume scheme for the Euler equations with a gravitational source term which is able to deal also with low Mach flows. To visualize the different scales we use the non-dimensionalized equations on which we apply a pressure splitting and a Suliciu relaxation. On the resulting model, we apply a splitting of the flux into a linear implicit and an non-linear explicit part that leads to a scale independent time-step. The explicit step consists of a Godunov type method based on an approximative Riemann solver where the source term is included in the flux formulation. We develop the method for a first order scheme and give an extension to second order. Both schemes are designed to be well-balanced, preserve the positivity of density and internal energy and have a scale independent diffusion. We give the low Mach limit equations for well-prepared data and show that the scheme is asymptotic preserving. These properties are numerically validated by various test cases
ARBITRARY ORDER FINITE VOLUME WELL-BALANCED SCHEMES FOR THE EULER EQUATIONS WITH GRAVITY
This work presents arbitrary high order well balanced finite volume schemes for the Euler equations with a prescribed gravitational field. It is assumed that the desired equilibrium solution is known, and we construct a scheme which is exactly well balanced for that particular equilibrium. The scheme is based on high order reconstructions of the fluctuations from equilibrium of density, velocity, and pressure, and on a well-balanced integration of the source terms, while no assumptions are needed on the numerical flux, beside consistency. This technique also allows one to construct well-balanced methods for a class of moving equilibria. Several numerical tests demonstrate the performance of the scheme on different scenarios, from equilibrium solutions to nonsteady problems involving shocks. The numerical tests are carried out with methods up to fifth order in one dimension, and third order accuracy in two dimensions
AnAll Speed SecondOrder IMEXRelaxation Scheme for the Euler Equations
We present an implicit-explicit finite volume scheme for the Euler equations. We start from the non-dimensionalised Euler equations where we split the pressure in a slow and a fast acoustic part. We use a Suliciu type relaxation model which we split in an explicit part, solved using a Godunov-type scheme based on an approximate Riemann solver, and an implicit part where we solve an elliptic equation for the fast pressure. The relaxation source terms are treated projecting the solution on the equilibrium manifold. The proposed scheme is positivity preserving with respect to the density and internal energy and asymptotic preserving towards the incompressible Euler equations. For this first order scheme we give a second order extension which maintains the positivity property. We perform numerical experiments in 1D and 2D to show the applicability of the proposed splitting and give convergence results for the second order extension
Applications of the Gauss-Bonnet theorem to gravitational lensing
In this geometrical approach to gravitational lensing theory, we apply the
Gauss-Bonnet theorem to the optical metric of a lens, modelled as a static,
spherically symmetric, perfect non-relativistic fluid, in the weak deflection
limit. We find that the focusing of the light rays emerges here as a
topological effect, and we introduce a new method to calculate the deflection
angle from the Gaussian curvature of the optical metric. As examples, the
Schwarzschild lens, the Plummer sphere and the singular isothermal sphere are
discussed within this framework.Comment: 10 pages, 1 figure, IoP styl
Statistical-mechanical theory of the overall magnetic properties of mesocrystals
The mesocrystal showing both electrorheological and magnetorheological
effects is called electro-magnetorheological (EMR) solids. Prediction of the
overall magnetic properties of the EMR solids is a challenging task due to the
coexistence of the uniaxially anisotropic behavior and structural transition as
well as long-range interaction between the suspended particles. To consider the
uniaxial anisotropy effect, we present an anisotropic Kirkwood-Fr\"{o}hlich
equation for calculating the effective permeabilities by adopting an explicit
characteristic spheroid rather than a characteristic sphere used in the
derivation of the usual Kirkwood-Fr\"{o}hlich equation. Further, by applying an
Ewald-Kornfeld formulation we are able to investigate the effective
permeability by including the structural transition and long-range interaction
explicitly. Our theory can reduce to the usual Kirkwood-Fr\"{o}hlich equation
and Onsager equation naturally. To this end, the numerical simulation shows the
validity of monitoring the structure of EMR solids by detecting their effective
permeabilities.Comment: 14 pages, 1 figur
Scalar conservation laws with nonconstant coefficients with application to particle size segregation in granular flow
Granular materials will segregate by particle size when subjected to shear,
as occurs, for example, in avalanches. The evolution of a bidisperse mixture of
particles can be modeled by a nonlinear first order partial differential
equation, provided the shear (or velocity) is a known function of position.
While avalanche-driven shear is approximately uniform in depth, boundary-driven
shear typically creates a shear band with a nonlinear velocity profile. In this
paper, we measure a velocity profile from experimental data and solve initial
value problems that mimic the segregation observed in the experiment, thereby
verifying the value of the continuum model. To simplify the analysis, we
consider only one-dimensional configurations, in which a layer of small
particles is placed above a layer of large particles within an annular shear
cell and is sheared for arbitrarily long times. We fit the measured velocity
profile to both an exponential function of depth and a piecewise linear
function which separates the shear band from the rest of the material. Each
solution of the initial value problem is non-standard, involving curved
characteristics in the exponential case, and a material interface with a jump
in characteristic speed in the piecewise linear case
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