9,858 research outputs found
The Erd\H{o}s-Ko-Rado theorem for twisted Grassmann graphs
We present a "modern" approach to the Erd\H{o}s-Ko-Rado theorem for
Q-polynomial distance-regular graphs and apply it to the twisted Grassmann
graphs discovered in 2005 by van Dam and Koolen.Comment: 5 page
Distance-regular graphs
This is a survey of distance-regular graphs. We present an introduction to
distance-regular graphs for the reader who is unfamiliar with the subject, and
then give an overview of some developments in the area of distance-regular
graphs since the monograph 'BCN' [Brouwer, A.E., Cohen, A.M., Neumaier, A.,
Distance-Regular Graphs, Springer-Verlag, Berlin, 1989] was written.Comment: 156 page
Computation of the modes and polar moment of inertial of the blades of an HAWT
The coupled differential equations of motion of the blades of a horizontal axis wind turbine are solved numerically, permitting the optimization of the design at relatively low cost. The equation of motion is transformed into a set of first order equations and solved with fourth order Runge-Kutta integrators. This technique is applied to a twisted, tapered blade of variable cross section and stiffness including discontinuities. The first six natural frequencies and mode shapes are obtained. The polar moment of inertia of the blades is obtained as a function of frequency and rotational speed
An analytical design procedure for the determination of effective leading edge extensions on thick delta wings
An analytical design procedure for leading edge extensions (LEE) was developed for thick delta wings. This LEE device is designed to be mounted to a wing along the pseudo-stagnation stream surface associated with the attached flow design lift coefficient of greater than zero. The intended purpose of this device is to improve the aerodynamic performance of high subsonic and low supersonic aircraft at incidences above that of attached flow design lift coefficient, by using a vortex system emanating along the leading edges of the device. The low pressure associated with these vortices would act on the LEE upper surface and the forward facing area at the wing leading edges, providing an additional lift and effective leading edge thrust recovery. The first application of this technique was to a thick, round edged, twisted and cambered wing of approximately triangular planform having a sweep of 58 deg and aspect ratio of 2.30. The panel aerodynamics and vortex lattice method with suction analogy computer codes were employed to determine the pseudo-stagnation stream surface and an optimized LEE planform shape
Introducing PHAEDRA: a new spectral code for simulations of relativistic magnetospheres
We describe a new scheme for evolving the equations of force-free
electrodynamics, the vanishing-inertia limit of magnetohydrodynamics. This
pseudospectral code uses global orthogonal basis function expansions to take
accurate spatial derivatives, allowing the use of an unstaggered mesh and the
complete force-free current density. The method has low numerical dissipation
and diffusion outside of singular current sheets. We present a range of one-
and two-dimensional tests, and demonstrate convergence to both smooth and
discontinuous analytic solutions. As a first application, we revisit the
aligned rotator problem, obtaining a steady solution with resistivity localised
in the equatorial current sheet outside the light cylinder.Comment: 23 pages, 18 figures, accepted for publication in MNRA
Torque-operated gradient-index axicon
We describe a gradient-index axicon based on twisting of crystals. We
demonstrate that the focal length of the axicon can be efficiently operated by
the torsion moment. The working analytical relations describing the focal
length of the axicon and its dependence on different geometrical parameters as
well as the torsion moment has been derived.Comment: 13 pages, 5 figure
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